Heat Transfer Flashcards
Crystal size in a continuous crystallizer depends upon the
- rate of heat transfer.
- degree of turbulence.
- degree of supersaturation.
- all (a), (b) and (c).
all (a), (b) and (c).
Air is best heated with steam in a heat exchanger of
- plate type.
- double pipe type with fin on steam side.
- double pipe type with fin on air side.
- shell and tube type.
double pipe type with fin on air side.
Black liquor generated during paper manufacture is concentrated in a
- single effect evaporator.
- single effect evaporator followed by a crystalliser.
- multiple effect evaporator.
- multiple effect evaporators followed by a crystalliser.
multiple effect evaporator.
When vaporisation takes place directly at the heating surface, it is called
- film boiling
- nucleate boiling
- vapour binding
- none of these
nucleate boiling
Steam consumption in kg/hr in case of an evaporator is given by (where, C & E are capacity and the economy of the evaporator respectively)
- C/E
- E/C
- CE
- 1/CE
C/E
Reynold’s analogy states that
- Nst α f
- Nst α NRe
- N/Nu α f
- NRe α f
Nst α f
Nusselt number concerns about heat transfer characteristics
With increase in temperature, the thermal conductivity of non-metallic amorphous solids
- decreases
- increases
- remains constant
- first decreases upto certain temperature and then increases
increases
true ans: decreases
Fourier’s law applies to the heat transfer by
- convection
- radiation
- conduction
- all (a), (b) & (c)
conduction
Shell side pressure drop in a shell and tube heat exchanger does not depend upon the
- baffle spacing & shell diameter.
- tube diameter & pitch.
- viscosity, density & mass velocity of shell side fluid.
- none of these.
none of these.
In the equation Q = UAΔt; Δt is
- geometric mean temperature difference.
- arithmetic mean temperature difference.
- logarithmic mean temperature difference.
- the difference of average bulk temperatures of hot and cold fluids.
logarithmic mean temperature difference.
With increase in porosity, the thermal conductivity of a solid substance
- increases
- decreases
- remains unchanged
- may increase or decrease; depends on the solid
decreases
For an ideal black body
- absorptivity = 1
- reflectivity = 1
- emissivity = 0
- transmissivity = 1
absorptivity = 1
In Joule’s experiment, an insulated container contains 20 kg of water initially at 25°C. It is stirred by an agitator, which is made to turn by a slowly falling body weighing 40 kg through a height of 4 m. The process is repeated 500 times. The acceleration due to gravity is 9.8 ms^-2. Neglecting the heat capacity of agitator, the temperature of water (in °C) is
- 40.5
- 34.4
- 26.8
- 25
34.4
Fouling factor
- is a dimensionless quantity.
- does not provide a safety factor for design.
- accounts for additional resistances to heat flow.
- none of these.
accounts for additional resistances to heat flow.
In case of vertical tube evaporator, with increase in liquor level, the overall heat transfer co-efficient
- increases
- decreases
- is not affected
- may increase or decrease; depends on the feed
decreases
The steam ejector is used to
- remove condensate from the - steam pipelines.
- create vacuum.
- superheat the steam.
- none of these.
create vacuum.
Steam ejectors are widely used to create vacuum by using high-pressure steam. They operate on the Venturi effect, where the steam expands through a nozzle, creating a low-pressure zone. This suction effect pulls gases or vapors from a system, making them useful in vacuum distillation, condenser evacuation in power plants, and other industrial processes.
For shell and tube heat exchanger, with increasing heat transfer area, the purchased cost per unit heat transfer area
- increases
- decreases
- remains constant
- passes through a maxima
passes through a maxima
true ans: decreases
The thermal efficiency of a reversible heat engine operating between two given thermal reservoirs is 0.4. The device is used either as a refrigerator or as a heat pump between the same reservoirs. Then the coefficient of performance as a refrigerator (COP)R and the co-efficient of performance as a heat pump (COP)HP are
- (COP)R = (COP)HP = 0.6
- (COP)R = 2.5; (COP)HP = 1.5
- (COP)R = 1.5; (COP)HP = 2.5
- (COP)R = (COP)HP = 2.5
(COP)R = 1.5; (COP)HP = 2.5
Hot water (0.01 m^3 /min) enters the tube side of a counter current shell and tube heat exchanger at 80°C and leaves at 50°C. Cold oil (0.05 m^3/min) of density 800 kg/m^3 and specific heat of 2 kJ/kg.K enters at 20°C. The log mean temperature difference in °C is approximately
- 32
- 37
- 45
- 50
32
In a heat exchanger, floating head is provided to
- facilitate cleaning of the exchanger.
- increase the heat transfer area.
- relieve stresses caused by thermal expansion.
- increase log mean temperature gradient.
relieve stresses caused by thermal expansion.
Leidenfrost point is a term concerned with the
- condensation of the saturated vapor on a cold surface.
- concentration of a corrosive solution by evaporation.
- heat transfer between two highly viscous liquids.
- boiling of a liquid on a hot surface.
boiling of a liquid on a hot surface.
- The Leidenfrost point occurs when a liquid comes into contact with a surface that is significantly hotter than its boiling point.
- At this point, the liquid forms a vapor layer between itself and the surface, which reduces direct contact and slows down heat transfer. As a result, the liquid appears to “levitate” on the surface, gliding on the vapor film.
- This phenomenon is often observed with water droplets on a very hot pan.
A process stream of dilute aqueous solution flowing at the rate of 10 Kg.s^-1 is to be heated. Steam condensate at 95°C is available for heating purpose, also at a rate of 10 Kg.s^-1. A 1 - 1 shell and tube heat exchanger is available. The best arrangement is
- counter flow with process stream on shell side.
- counter flow with process stream on tube side.
- parallel flow with process stream on shell side.
- parallel flow with process stream on tube side.
counter flow with process stream on shell side.
Heat produced when a steady state current, I passes through an electrical conductor having resistance, ‘R’ is
- IR
- I^2 R
- IR^2
- I^2 R^2
I^2 R
Pick out the wrong statement.
- Orifice baffles are never used in a shell and tube heat exchanger.
- Pressure drop on the shell side of a heat exchanger depends upon tube pitch also.
- In a horizontal tube evaporator, surface blanketing by air is avoided.
- Split ring type and pull through type floating heads are two commonly used floating heads is heat exchangers.
Orifice baffles are never used in a shell and tube heat exchanger.
The actual temperature drop across the heating surface in an evaporator depends on the
- feed.
- depth of liquid over heating surface.
- pressure difference between steam chest and vapour space.
- all (a), (b) and (c).
all (a), (b) and (c).
Which of the following is not used as a medium for high temperature heating ?
- Dowtherm
- mercury
- liquid metal (e.g. molten sodium)
- fused salts (e.g., an eutectic mixture of 53% KNO3, 40% NaNO2and 7% NaNO3)
mercury
- None of the listed options are entirely unsuitable for high-temperature heating, but among them, mercury might be considered less favorable due to its toxicity and environmental issues. However, all listed options can serve as high-temperature heating mediums in specific applications.
Presence of a non-condensing gas in a condensing vapour
- increases the rate of condensation.
- decreases thermal resistance.
- is desirable to increase the film co-efficient.
- none of these.
none of these.
- The presence of a non-condensing gas in a condensing vapor leads to decreased condensation rates, increased thermal resistance, and a lower film heat transfer coefficient.
With the increase of temperature, the Col-burn jH factor
- increases.
- decreases.
- remains unchanged.
- may increase or decrease ; depending on temperature.
increases
- While the Colburn jH factor can behave differently depending on the specific fluid and conditions, in many cases, increasing temperature tends to enhance the jH factor due to improved flow characteristics and thermal properties of the fluid. This results in increased convective heat transfer performance, leading to better efficiency in heating or cooling applications.
In case of evaporators, liquid entrainment results primarily due to
- high vacuum in the evaporator.
- high evaporation rate.
- foaming of the solution.
- high heat transfer rate.
foaming of the solution.
- foaming of the solution plays a crucial role in liquid entrainment during the evaporation process. The formation and stability of foam lead to the creation of larger vapor bubbles that can carry liquid droplets into the vapor phase, resulting in entrainment. Managing foam formation is essential for optimizing evaporator performance and minimizing unwanted liquid carryover.
Baffles in the shell side of a shell and tube heat exchanger
- increase the cross-section of the shell side liquid.
- force the liquid to flow parallel to the bank.
- increase the shell side heat transfer co-efficient.
- decrease the shell side heat transfer co-efficient.
increase the shell side heat transfer co-efficient.
- Baffles enhance heat transfer by promoting turbulent flow and increasing the interaction between the shell side fluid and the tube surfaces, leading to a more efficient heat exchange process.
Air is to be heated by condensing steam. Two heat exchangers are available
(i) a shell and tube heat exchanger and
(ii) a finned tube heat exchanger.
Tube side heat transfer area are equal in both the cases. The recommended arrangement is
- finned tube heat exchanger with air inside and steam outside.
- finned tube heat exchanger with air outside and steam inside.
- shell and tube heat exchanger with air inside tubes and steam on shell side.
- shell and tube heat exchanger with air on shell side and steam inside tubes.
finned tube heat exchanger with air outside and steam inside.
The unit of heat transfer co-efficient in SI unit is
- J/M^2°K
- W/m^2°K
- W/m°K
- J/m°K
W/m^2°K
- This unit indicates that heat transfer occurs in watts (energy per unit time) per square meter of area for each degree Kelvin (or Celsius) temperature difference. This is the standard unit for the heat transfer coefficient in SI units.
The number of kg vaporised per kg of steam fed to the evaporator is defined as
- capacity
- rate of evaporation
- economy
- rate of vaporisation
economy
- In the context of evaporators, economy is defined as the mass of liquid that is vaporized (or evaporated) per unit mass of steam fed into the evaporator. This is an important performance indicator, as it reflects the efficiency of the evaporator in utilizing the steam to vaporize liquid.
Pick out the wrong statement.
- In case of heat transfer by purely forced convection, GR/Re2 ≤ 1.
- The equivalent diameter of heat transfer for a duct of square cross-section (having each side as ‘x’) is equal to 4x.
- Distillation process is not the same as evaporation.
- The effectiveness of nucleate boiling depends basically on the ease with which the bubbles are formed and detached from the heating surface.
The equivalent diameter of heat transfer for a duct of square cross-section (having each side as ‘x’) is equal to 4x.
Economy of a multiple effect evaporator is not influenced much by the
- boiling point elevations
- temperature of the feed
- rate of heat transfer
- ratio of the weight of the thin liquor to thick liquor
boiling point elevations
- while boiling point elevation can affect the operation of a multiple effect evaporator by requiring more energy to achieve the boiling point, its overall impact on the economy is mitigated by the efficient design of multiple effect systems. The ability of the evaporator to reuse vapor for heating in subsequent effects allows it to maintain a favorable economy, making boiling point elevation less critical in comparison to other factors influencing evaporator performance.
Increasing the liquor level in the evaporator results in the
- decreased capacity.
- increase in liquor film co-efficient.
- decreased effect of hydrostatic head.
- increased true temperature drop.
decreased capacity.
- Increasing the liquor level in an evaporator can lead to decreased capacity. A higher liquor level means more liquid is present, which can increase the hydrostatic pressure at the evaporator’s bottom. This added pressure can reduce the effective driving force for heat transfer (the temperature difference between the heating medium and the boiling liquid), resulting in decreased evaporation rates and capacity.
The equivalent diameter for pressure drop is ___ that for heat transfer.
- smaller than
- greater than
- equal to
- not related with
smaller than
Controlling heat transfer film co-efficient is the one, which offers __________ resistance to heat transfer.
- no
- the least
- the largest
- lower
the largest
- the statement that a controlling heat transfer film coefficient offers the largest resistance to heat transfer is false. Instead, an effective (or controlling) film coefficient results in the least resistance to heat transfer, allowing for optimal thermal performance in heat exchangers and other systems involving heat transfer.
The heat flux (from outside to inside) across an insulating wall with thermal conductivity, K= 0.04 W/m.°K and thickness 0.16m is 10 W/m^2. The temperature of the inside wall is - 5°C. The outside wall temperature is
- 25°C
- 30°C
- 35°C
- 40°C
35°C
Pick out the wrong statement.
- The controlling resistance in case of heating of air by condensing steam is in the air film.
- The log mean temperature difference (LMTD) for counter flow and parallel flow can be theoretically same when any one of the fluids (hot or cold fluid) passes through the heat exchanger at constant temperature.
- In case of a 1 - 2 shell and tube heat exchanger, the LMTD correction factor value increases sharply, when a temperature cross occurs.
- Phase change in case of a pure fluid at a given pressure from liquid to vapor or vice-versa occurs at saturation temperature.
In case of a 1 - 2 shell and tube heat exchanger, the LMTD correction factor value increases sharply, when a temperature cross occurs.
- This statement is misleading. In a 1-2 shell and tube heat exchanger, a temperature cross occurs when the outlet temperature of the cold fluid exceeds the outlet temperature of the hot fluid. This scenario usually leads to a reduction in the LMTD correction factor because it indicates that the heat exchanger is not operating efficiently, and the actual temperature differences are compromised. The correction factor does not increase sharply; rather, it can significantly decrease or become ineffective.
The average heat transfer co-efficient for laminar film condensation on vertical surface is inversely proportional to (where, ΔT = Temperature drop across condensate film )
- (ΔT)^2
- (ΔT)^1/2
- (ΔT)^1/4
- (ΔT)^3/2
(ΔT)^1/4
Bulk of the convective heat transfer resistance from a hot tube surface to the fluid flowing in it, is
- in the central core of the fluid.
- uniformly distributed throughout the fluid.
- mainly confined to a thin film of fluid near the surface.
- none of these.
mainly confined to a thin film of fluid near the surface.
- The majority of the convective heat transfer resistance occurs in a thin film of fluid close to the hot surface. This is because the thermal boundary layer, which develops due to the no-slip condition at the surface, has a higher temperature gradient, leading to increased resistance. As the distance from the surface increases, the fluid temperature approaches that of the bulk fluid more quickly, reducing resistance.
Which of the following is concerned with both heat and mass transfer ?
- Lewis relationship
- Nusselt number
- Kutateladze number
- Froude number
Lewis relationship
A 10 cm dia steam pipe, carrying steam at 180°C, is covered with an insulation (conductivity = 0.6 W/m.°C). It losses heat to the surroundings at 30°C. Assume a heat transfer co-efficient of 0.8 W/m2.°C for heat transfer from surface to the surroundings. Neglect wall resistance of the pipe and film resistance of steam. If the insulation thickness is 2 cms, the rate of heat loss from this insulated pipe will be
- greater than that for uninsulated steam pipe.
- less than that of the uninsulated steam pipe.
- equal to that of the uninsulated steam pipe.
- less than the steam pipe with 5 cms insulation.
less than that of the uninsulated steam pipe.
Which area is used in case of heat flow by conduction through a cylinder?
- Logarithmic mean area
- Arithmetic mean area
- Geometric mean area
- None of these
Logarithmic mean area
Heat transfer by conduction results due to the transfer of free electrons, kinetic energy & vibrational energy from one molecule to another. Conduction heat transfer can not take place
- between two bodies in physical contact with each other.
- between two bodies not in physical contact with each other.
- from one part of a body to the another part of the same body.
- both ‘b’ & ‘c’
between two bodies not in physical contact with each other.
- Heat transfer by conduction requires physical contact between the bodies. When two bodies are in contact, energy is transferred through free electrons and molecular interactions.
The dimensionless group in mass transfer that is equivalent to Prandtl number in heat transfer is
- Nusselt number.
- Sherwood number.
- Schmidt number.
- Stanton number.
Schmidt number.
Finned tube heat exchangers
- give larger area per tube.
- use metal fins of low thermal conductivity.
- facilitate very large temperature drop through tube wall.
- are used for smaller heat load.
give larger area per tube.
The absorptivity of a grey body at a given temperature __________ with increasing wavelength of radiation.
- increases
- decreases
- remains constant
- may increase or decrease ; depends on the material
may increase or decrease ; depends on the material
Which one gives the monochromatic emissive power for black body radiation ?
- Planck’s law
- Kirchhoffs law
- Wien’s law
- Stefan-Boltzman law
Planck’s law
For what value of Prandtl number, St = f/2?
- 1.5
- 1
- > 1
- < 1
1
In a shell and tube heat exchanger,
- the temperature drops in the two fluids and the wall are proportional to individual resistances.
- the temperature drop is inversely proportional to the resistance across which the drop occurs.
- there is no relationship between temperature drop and resistance.
- the relationship is not generalised.
the temperature drops in the two fluids and the wall are proportional to individual resistances.
Dietus-Boelter equation used for the determination of heat transfer co-efficient is valid
- for fluids in laminar flow.
- for fluids in tubulent flow.
- when Grashhoff number is very important.
- for liquid metals.
for fluids in tubulent flow.
The equation, Nst = (f/2) / [1+5 (NPr - 1) (f/2)^1/2], corrosponds to __________ analogy.
- Von-Karmann
- Reynolds
- Colburn
- Prandtl
Prandtl
For large heat transfer area requirement, shell and tube heat exchanger is preferred, because it
- occupies smaller space.
- is more economical.
- is easy to operate and maintain.
- all (a), (b) and (c).
all (a), (b) and (c).
Out of the following four assumptions used in the derivation of the equation for LMTD [LMTD = (Δt1 - Δt2) / ln(Δt1/Δt2)] , which one is subject to the largest deviation in practice ?
- Constant overall heat transfer co-efficient.
- Constant rate of fluid flow.
- Constant specific heat.
- No partial phase change in the system.
Constant rate of fluid flow.
true ans: Constant overall heat transfer co-efficient.
Heat flux increases with temperature drop beyond the Leiden frost point in the plot of heat flux vs. temperature drop for a boiling liquid, because
- convection becomes important
- conduction becomes important
- radiation becomes important
- sub-cooled boiling occurs
radiation becomes important
- While radiation is a fundamental mode of heat transfer, it does not significantly influence the increase in heat flux beyond the Leidenfrost point in boiling liquids. The increase is primarily due to the transition to sub-cooled boiling, enhanced convection, and the collapse of the vapor layer, which allows for improved thermal contact between the liquid and the surface. Thus, the correct explanation for the increase in heat flux is not related to radiation becoming important.
Resistance to heat flow by conduction is proportional to (where, t & ρ are thickness & density of the material respectively and A = area normal to the direction of heat flow. )
- t
- 1/ρ
- 1/A
- all (a), (b) & (c)
all (a), (b) & (c)
Temperature profile in steady state heat transfer is
- asymptotic
- hyperbolic
- parabolic
- linear
linear
For the same heat load and mass flow rate in the tube side of a shell and tube heat exchanger, one may use multipass on the tube side, because it
- decreases the pressure drop.
- decreases the outlet temperature of cooling medium.
- increases the overall heat transfer coefficient.
- none of these.
increases the overall heat transfer coefficient.
When vaporisation takes place through a blanketting film of gas, the phenomenon is termed as __________ boiling.
- pool
- nucleate
- transition
- film
film
Minimum recommended baffle spacing in a shell and tube heat exchanger is about (where, D = shell diameter)
- 0.2 D
- 0.5 D
- 0.66 D
- 0.80 D
0.2 D
Stefan-Boltzman law which describes the radiation heat transfer states that, it is proportional to (where, t = temperature in °C; T = absolute temperature in ° K )
- t^4
- T^4
- 1/t^4
- 1/T^4
T^4
The Nusselt number for fully developed (both thermally and hydrodynamically) laminar flow through a circular pipe, where the wall heat flux is constant, is
- 2.36
- 4.36
- 120.36
- dependent on NRe only
4.36
What is the unit of thermal conductivity ?
- Kcal/hr. m^2 °C
- Kcal/hr.m.°C
- Kcal/hr.m
- Kcal/hr. °C
Kcal/hr.m.°C
The thermal radiation emitted by a body is proportional to Tn, where T is its absolute temperature. The value of ‘n’ is exactly 4 for
- black painted bodies only
- all bodies
- polished bodies only
- a black body
all bodies
true ans: a black body
It is not preferable to use superheated steam in evaporators, because of its very
- high temperature
- high pressure
- low film co-efficient
- none of these
low film co-efficient
It is desired to concentrate a 20% salt solution (20 kg of salt in 100 kg of solution) to a 30% salt solution in an evaporator. Consider a feed of 300 kg/min at 30°C. The boiling point of the solution is 110°C, the latent heat of vaporisation is 2100 kJ/kg and the specific heat of the solution is 4 kJ/kg.K. The rate at which the heat has to be supplied in (kJ/min) to the evaporator is
- 3.06 x 10^5
- 6.12 x 10^5
- 7.24 x 10^5
- 9.08 x 10^5
3.06 x 10^5
LMTD for counterflow and prallel flow heat exchanger will be the same, when the
- cold fluid is heated to a certain temperature by condensing steam (isothermal fluid).
- outlet temperature of both the hot and cold fluid are same.
- outlet temperature of hot fluid is less than the outlet temperature of the cold fluid.
- none of these.
cold fluid is heated to a certain temperature by condensing steam (isothermal fluid).
For flow over a flat plate, the ratio of thermal boundary layer thickness, ‘xt’ and hydrodynamic boundary layer thickness ‘x’ is equal to (where, NPr = Prandtl number)
- NPr
- NPr^(1/3)
- NPr^(-1)
- NPr^(-1/3)
NPr^(1/3)
The range of electromagnetic spectrum important in heat transfer by radiation is __________ microns.
- 0.38-0.78
- 0.5-50
- 100-1000
- 5-50
0.5-50
Use of transverse baffles in a shell and tube heat exchanger is done to increase the
- rate of heat transfer.
- flow velocity.
- turbulence of shell side fluid.
- all (a), (b) and (c).
all (a), (b) and (c).
The actual temperature drop across the heating surface of an evaporator depends on the
- liquid depth over the heating surface.
- solution being evaporated.
- pressure difference between the steam chest and the vapor space above the boiling liquid.
- all (a), (b) and (c)
all (a), (b) and (c)
Economy of a multiple effect evaporator depends upon the
- heat balance consideration
- rate of heat transfer
- both (a) and (b)
- neither (a) nor (b)
heat balance consideration
The Graetz number is concerned with the
- mass transfer between a gas and a liquid.
- absorption with chemical reaction.
- heat transfer in turbulent flow.
- heat transfer in laminar flow.
heat transfer in laminar flow.
Solid angle subtended by the finite surface at the radiating element is
- called the view factor.
- called the angle of vision.
- proportional to the square of the distance between surfaces.
- expressed in terms of radians.
called the angle of vision.
true ans: called the view factor
Pick out the wrong statement.
- The emissivity of a surface decreases, if it gets corroded by atmospheric environment.
- The emissivity of a surface increases with increase in surface roughness.
- The emissivity of a polished surface is quite low.
- The emissivity of a non-metallic surface decreases with increase in the temperature.
The emissivity of a surface decreases, if it gets corroded by atmospheric environment.
In forced convection, the heat transfer depends on
- Re, Pr
- Re, Gr
- mainly Gr
- Re only
Re, Pr
With increase in temperature, the thermal conductivity of most liquids
- increases
- decreases
- remains same
- first increases upto a certain temperature and then becomes constant
decreases
true ans: increases
Heat transfer by __________ may not necessarily require the presence of a medium.
- conduction
- natural convection
- forced convection
- radiation
radiation
Pick out the correct statement.
- Higher is the temperature of the radiating body, higher is the wavelength of radiation.
- Logarithmic mean area is used for calculating the heat flow rate through a thick walled cylinder.
- The wavelength corresponding to maximum mono-chromatic emissive power increases with rise in temperature.
- Solid angle subtended by the finite surface at the radiating element is called the angle of incidence.
Logarithmic mean area is used for calculating the heat flow rate through a thick walled cylinder.
In a shell and tube type heat exchanger, the floating tube bundle heat arrangement is used
- in low range of temperature differences.
- in high range of temperature differences.
- because of its low cost.
- to prevent corrosion of the tube bundles.
in high range of temperature differences.
Stefan-Boltzman law applies to __________ body.
- black
- white
- grey
- any colour
black
The film co-efficient is decreased due to the presence of non-condensing gases in the vapors. The film co-efficient of superheated vapor as compared to that of saturated vapor is
- more
- less
- some
- either more or less ; depends on the nature of vapor
some
true ans: less
In case of parallel flow heat exchanger, the lowest temperature theoretically attainable by the hot fluid is __________ the outlet temperature of the cold fluid.
- equal to
- more than
- less than
- either more or less than (depending upon the fluid)
equal to
true ans: more than
An equipment which converts the latent or sensible heat of one fluid into the latent heat of vaporisation of another, is called a
- boiler
- heat exchanger
- recuperator
- regenerator
heat exchanger
Which of the following is directly concerned with the heat transfer ?
- Strouhal number
- Sherwood number
- Euler number
- Grashoff number
Grashoff number
Pick out the wrong statement:
With change in temperature, the radiant energy emitted by a black body remains unchanged.
Absorptivity of a body approaches unity in case of diffuse reflection.
Absorptivity of a perfectly black body is unity.
Value of Stefan-Boltzman constant is 4.876 x 10^-8 KCal/m^2.hr.°K^4.
With change in temperature, the radiant energy emitted by a black body remains unchanged.
Planck’s distribution law is valid for __________ bodies.
- black
- white
- coloured
- all (a), (b) & (c)
coloured
true ans: black
For hot feed, forward feeding as compared to backward feeding results in __________ economy.
- increased
- decreased
- no effect on
- none of these
increased
Radiation energy is emitted by all the substances, which are above
- 0K
- 0°C
- 100°C
- room temperature
0K
The interchange factor for radiation heat transfer from surface ‘x’ to surface ‘y’ in case of an infinite parallel planes with emis-sivities εx & εy is given by
- εx + εy
- εx . εy
- 1/εx + 1/εy
- εx+εy / εx+εy - εx * εy
εx+εy / εx+εy - εx * εy
What is the steam economy in case of a single effect evaporator system ?
- 1
- > 1
- < 1
- 0.1
< 1
If average heat transfer co-efficient is ha and the local coefficient at the end of the plate is hl then in case of heat transfer to a fluid flowing over a flat plate, heated over its entire length
- ha = hl
- ha = 2hl
- ha = 0.5 hl
- ha = 0.75 hl
ha = 2hl
The Fourier number (defined as a.t/L^2) is used in the analysis of problem involving heat transfer by
- forced convection
- natural convection
- transient conduction
- steady state conduction
transient conduction
The energy radiated from a surface Q at absolute temperature T is related as
- Q ∝ T^2
- Q ∝ T^4
- Q ∝ T^3
- none of these
Q ∝ T^4
Baffles are provided in heat exchangers to increase the
- fouling factor
- heat transfer area
- heat transfer co-efficient
- heat transfer rate
heat transfer co-efficient
200 kg of solids (on dry basis) is subjected to a drying process for a period of 5000 seconds. The drying occurs in the constant rate period with the drying rate as, Nc = 0.5 x 10^-3 kg/m^2.s. The initial moisture content of the solid is 0.2 kg moisture/kg dry solid. The interfacial area available for drying is 4 m^2/1000 kg of dry solid. The moisture content at the end of the drying period is (in kg moisture/kg dry solid)
- 0.5
- 0.05
- 0.1
- 0.15
0.1
In case of a vertical tube evaporator, with increase in the liquor level, the
- capacity of the evaporator is decreased.
- capacity of the evaporator is increased.
- true temperature drop increases.
- both (b) and (c).
capacity of the evaporator is decreased.
true ans: both (b) and (c).
The ratio of total radiating power to the absorptivity of the body depends upon the __________ as per Kirchoffs law.
- wavelength of radiation
- nature of the body
- temperature of the body
- none of these
temperature of the body
For gases, the thermal conductivity increases with temperature rise. For liquids, with increase in concentration, its thermal conductivity generally
- decreases
- increases
- remains unchanged
- increases exponentially
decreases
A 2-4 heat exchanger involves
- only counter-flow of fluids.
- only parallel-flow of fluids.
- both counter and parallel-flow of the fluids.
- smaller pressure drop compared to 1-2 exchanger.
both counter and parallel-flow of the fluids.
In a liquid-liquid heat exchanger, for the same process temperature, the ratio of the LMTD in parallel flow to the LMTD in counter flow is always
- < 1
- > 1
- 1
- ∞
< 1
With increase in temperature, the thermal conductivity of steel
- increases
- decreases
- remains unchanged
- increases exponentially
decreases
Which of the following forced convection heat transfer equation accounts for the liquid viscosity effect for viscous liquids ?
- Dittus-Boeltier equation
- Sieder-Tate equation
- Nusselt equation
- None of these
Sieder-Tate equation
The main function of baffles provided in a shell and tube heat exchanger is to
- facilitate the cleaning of outer tube surface.
- enhance turbulence.
- hold the tubes in position.
- all ‘a’, ‘b’ & ‘c’.
enhance turbulence.
In a single effect evaporator, the economy is
- 1
- < 1
- > 1
- none of these
< 1
LMTD correction factor which is to be applied for a cross-flow heat exchanger increases with increase in the number of shell passes. Its value for a single pass cross flow heat exchanger is
- 0
- 1
- > 1
- <1
<1
Which of the following is not concerned with the heat transfer?
- Brinkman number
- Stanton number
- Schmidt number
- Peclet number
Schmidt number
Latent heat absorbed by 1 lb of water at 212°F, when it is changed to steam at 212°F, may be around __________ BTU.
- 180
- 970
- 3.97
- none of these
180
true ans: 970
The thermal radiative flux from a surface of emissivity = 0.4 is 22.68 kW/m^2. The approximate surface temperature (K) is
(Stefan-Boltzman constant = 5.67x10^-8 W/m^2.K^4)
- 1000
- 727
- 800
- 1200
1000
Crystallisation of solids from a homogeneous solution is a/an __________ process.
- exothermic
- mildly endothermic
- highly endothermic
- none of these
exothermic
A multiple effect evaporator has a capacity to process 4000 kg of solid caustic soda per day, when it is concentrating from 10% to 25% solids. The water evaporated in kg per day is
- 6000
- 24000
- 60000
- 48000
24000
Value of Prandtl number for water ranges from
- 1 to 2
- 5 to 10
- 100 to 500
- 1000 to 2000
5 to 10
Heat transfer in the laminar sublayer in case of a liquid flowing through a pipe, is mostly by
- eddies current
- conduction
- convection
- none of these
conduction
Among liquids, water has a comparatively high value of thermal conductivity, due to its
- low density
- high viscosity
- partial ionisation
- dense structure
partial ionisation
true ans: dense structure
Reynold’s analogy states that (where, St = Stanton number f = friction factor)
- St = f/2
- St = f/4
- St = 4f
- St = f^1/2
St = f/2
For evaporation of viscous solution in a multiple effect evaporator, the prefered feeding scheme is
- forward
- backward
- parallel
- none of these
backward
The sum of reflectivity and absorptivity for an opaque body is equal to
- 0.5
- 1
- 0
- 2
1
The film thickness for laminar film condensation on vertical surface __________ from top to bottom.
- cumulatively increases
- cumulatively decreases
- remains constant
- and the surface conductance increase
cumulatively increases
In case of a multipass shell and tube heat exchanger, providing a baffle on the shell side __________ the heat transfer rate.
- increases
- decreases
- does not affect
- may increase or decrease, depends on the type of baffle
increases
The local surface conductance for laminar film condensation on vertical surface is (where, t = film thickness)
- ∝ t
- ∝ 1/t
- ∝ (t)^1/2
- independent of ‘t’
∝ 1/t
Heat transfer co-efficient (h1) for liquids increases with
- increasing temperature.
- decreasing temperature.
- decreasing Reynolds number.
- none of these.
increasing temperature.
A diathermaneous substance __________ the thermal radiation completely.
- absorbs
- reflects
- transmits
- none of these
transmits
A hot body will radiate heat most rapidly, if its surface is
- white & rough
- black & rough
- white & polished
- black & polished
black & rough
Evaporation of 1kg of water from a solution in a single effect evaporator requires about __________ kg of steam.
- 0.4 - 0.6
- 1-1.3
- 1.8-2
- 2 - 2.4
1-1.3
A metal wire of 0.01 m dia and thermal conductivity 200 W/m.K is exposed to a fluid stream with a convective heat transfer coefficient of 100 W/m^2.K. The Biot number is
- 5.6
- 0.025
- 3.5
- 0.0035
0.025
A __________ surface has the maximum thermal emissivity out of the following.
- black & smooth
- black & rough
- white & smooth
- white & rough
black & rough
Radiant energy received by a body is proportional to (where, d = the distance between the object emitting radiation and that receiving it.)
- d^1/2
- d
- d^2
- d^1.5
d^2
Mechanical recompression evaporation is used in the production of
- alcohol
- distilled water
- salt
- fruits jam
distilled water
A measure of the extent to which viscous heating is important relative to the heat flow resulting from the impressed temperature difference is represented by the __________ number.
- Condensation
- Grashoff
- Stantan
- Brinkman
Brinkman
Out of 100 kcal/second of incident radiant energy on the surface of a thermally transparent body, 300 kcal/second is reflected back. If the transmissivity of the body is 0.25, the emissivity of the surface will be
- 0.35
- 0.45
- 0.55
- 0.85
0.45
The purpose of providing a ‘catchall’ in the vapor line of an evaporator is to
- create vacuum
- regulate the vapor flow
- vent the non-condensible gases
- arrest the entrained liquid
arrest the entrained liquid
What is the thermal conductivity of a perfect heat insulator ?
- zero
- one
- ∞
- between 0 and ∞
zero
‘Fouling factor’ used in the design of a multipass shell and tube heat exchanger is a
- non-dimensional factor.
- factor of safety.
- conversion factor for individual film heat transfer co-efficient to overall heat transfer co-efficient.
- none of these.
factor of safety.
A fluid is flowing inside the inner tube of a double pipe heat exchanger with diameter ‘d’. For a fixed mass flow rate, the tube side heat transfer co-efficient for turbulent flow conditions is proportional to
- d^0.8
- d^-0.2
- d^-1
- d^-1.8
d^-0.2
Prandtl and Reynolds analogy are same, when Prandtl number is
- 0.5
- 1
- > 2
- 1.5
1
Heat transfer occurs by natural convection because change in temperature causes difference in
- viscosity
- density
- thermal conductivity
- heat capacity
density
The ratio of kinematic viscosity to thermal diffusivity is called the __________ number.
- Peclet
- Prandtl
- Stanton
- Nusselt
Prandtl
The critical radius ‘r’ of insulation on a pipe is given by
- r = 2k/h
- r = k/h
- r = k/2h
- r = h/k
r = k/h
As per Kirchoffs law, the ratio of the total radiating power to the absorptivity of a body depends on the
- temperature of the body only.
- wavelength of monochromatic radiation.
- both (a) and (b).
- nature of material of body.
temperature of the body only.
true ans: both (a) and (b).
If the baffle spacing in a shell and tube heat exchanger increases, then the Reynolds number of the shell side fluid
- remains unchanged.
- increases.
- increases or decreases depending on number of shell passes.
- decreases.
decreases.
The heat transfer by radiation from a mild steel surface is to be reduced by reducing the emissivity of the surface. This can be best achieved by
- painting the surface black.
- painting the surface white (with aluminium paint).
- giving the surface a mirror finish.
- roughening the surface.
painting the surface white (with aluminium paint).
__________ paint has the maximum absorption coefficient.
- Black
- Yellow
- White
- Grey
Black
What is Nusselt number ?
- Cp*μ / k
- hD / k
- h*CP / μ
- Cp*μ / h
hD / k
Steam traps are provided in steam carrying pipelines to
- condense steam.
- release excess steam pressure by bleeding steam.
- remove condensate and inert gases.
- none of these.
remove condensate and inert gases.
The Dietus-Boelter equation for convective heat transfer [(i.e.) h=0.023 (K/D)(Re)^0.8 (Pr)^0.4]
cannot be used for
- low Reynold’s number
- very low Grashoff number
- molten metals
- all (a), (b) and (c)
all (a), (b) and (c)
true ans: molten metals
A hot liquid is kept in a big room. The logorithm of the numerical value of the temperature difference between the liquid and the room is plotted against time. The plot will be very nearly a/an
- ellipse
- straight line
- parabola
- circular arc
straight line
Radiation heat transfer rates does not depend upon the
- type of absorbing surface.
- distance between the heat source and the object receiving the heat.
- surface area and temperature of the heat source.
- none of these.
none of these.
true ans: distance between the heat source and the object receiving the heat.
Which of the following is correct ?
- Rate = Driving force x Resistance
- Driving force = Rate x Resistance
- Resistance = Driving force x Rate
- Rate = Resistance/Driving force
Driving force = Rate x Resistance
Convective heat transfer, in which heat is transferred by movement of warmed matter is described by
- Fourier’s law
- Newton’s law of cooling
- Fick’s law
- none of these
Newton’s law of cooling
As the difference between the wall temperature and bulk temperature increases, the boiling heat transfer co-efficient
- continues to increase.
- continues to decrease.
- goes through a minimum.
- goes through a maximum.
goes through a minimum.
Heat transfer rate per unit area is called
- thermal conductivity
- heat flux
- heat transfer co-efficient
- thermal diffusivity
heat flux
Log mean temperature difference (LMTD) cannot be used, if
- heat transfer co-efficient over the entire heat exchanger is not constant.
- there exists an unsteady state.
- the heat capacity is not constant and there is a phase change.
- none of these.
none of these.
true ans: Log mean temperature difference (LMTD) cannot be used, if
In a multipass shell and tube heat exchanger, tube side return pressure loss is equal to __________ the velocity head.
- twice
- four times
- square root of
- square of
four times
For a given ambient air temperature with increase in the thickness of insulation of a hot cylinderical pipe, the rate of heat loss from the surface would
- decrease
- increase
- first decrease and then increase
- first increase and then decrease
first increase and then decrease
true ans: first decrease and then increase
In a parallel flow heat exchanger, if the outlet temperature of hot and cold fluids are the same, then the log mean temperature difference (LMTD) is
- minimum
- maximum
- zero
- infinity
zero
For what value of Prandtl number, the Col-burn analogy is valid ?
- 0.06 to 120
- 0.6 to 120
- 1 to 103
- l to 50
0.6 to 120
In a forward feed multiple effect, the pressure build up will be
- least at the inlet of the first effect.
- least at the outlet of the last effect.
- highest at the inlet of the last effect.
- highest at the outlet of the last effect.
least at the outlet of the last effect.
Film boiling is usually not desired in commercial equipments, because
- the heat transfer rate is low in view of the large temperature drop.
- it is difficult to maintain.
- it is not economic.
- none of these.
the heat transfer rate is low in view of the large temperature drop.
For the same heat transfer area and the terminal conditions, the ratio of the capacities of a single effect evaporator to a triple effect evaporator is
- 3
- 0.33
- 1
- 1.33
1
The variation of thermal conductivity of a metal with temperature is often correlated using an expression of the form K = K0 + at. where, K is the thermal conductivity and T is the temperature (in °K). The units of ‘a’ in SI system will be
- W/m.k
- W/m
- W/m.k^2
- none, ‘a’ is just a number
W/m.k^2
Film condensation is promoted on a/an __________ surface.
- oily
- coated
- clean & smooth
- dirty
clean & smooth
Dietus-Boelter equation cannot be used for molten metals mainly due to its very low
- Prandtl number
- Grashoff number
- thermal conductivity
- viscosity
Prandtl number
true ans: viscosity
If Prandtl number is greater than the Schmidt number, then the
- thermal boundary layer lies inside the concentration boundary layer.
- concentration boundary layer lies inside the thermal boundary layer.
- thermal & concentration boundary layers are of equal thickness.
- hydrodynamic(i.e., momentum)boundary layer is thicker than the other two.
thermal boundary layer lies inside the concentration boundary layer.
Which of the following accessories is provided in the vapor line of an evaporator for removing the entrained liquid ?
- Bleed point
- Vent
- Catchall
- Baffle
Catchall
Rate of heat transfer by vaporisation from pools of water is affected by the
- nature of heating surface and distribution of bubbles.
- surface tension of water.
- viscosity of water.
- all (a), (b) and (c).
all (a), (b) and (c).
Multiple effect evaporators are commonly used in the manufacture of
P. Paper
Q. Superphosphate
R. Sugar
S. Fats
- P and Q
- P and R
- P and S
- R and S
P and S
Which of the following has the highest thermal conductivity ?
- Brick
- Air
- Water
- Silver
Silver
Which of the following is unimportant in forced convection ?
- Reynolds number
- Prandtl number
- Grashhoff number
- none of these
Grashhoff number
Steam is to be condensed in a shell and tube heat exchanger, 5 m long with a shell diameter of 1 m. Cooling water is to be used for removing the heat. Heat transfer co-efficient for the cooling water, whether on shell side or tube side is the same. The best arrangement is
- vertical heat exchanger with steam on tube side.
- vertical heat exchanger with steam on shell side.
- horizontal heat exchanger with steam on tube side.
- horizontal heat exchanger with steam on shell side.
vertical heat exchanger with steam on shell side.
In a multiple effect evaporator, the effect of boiling point elevation is to
- reduce the capacity
- reduce the economy
- increase the economy
- none of these
reduce the capacity
- The rate of heat transfer through a pipe wall is given by, q= [2nK(Ti - T0)] / [ln(ri/r0)] . For cylinder of very thin wall, q can be approximated by
Dropwise condensation occurs on __________ surfaces.
- clean and dirt free
- smooth clean
- contaminated cooling
- polished
contaminated cooling
true ans: smooth clean
For specified tube outside diameter, higher BWG means higher
- tube thickness
- cross-sectional area
- weight per unit length
- none of these
cross-sectional area
true ans: none of these
Pick out the wrong statement.
- Swenson-Walker crystalliser is a batch crystalliser.
- Super saturation of the solution is the driving potential for a crystal growth.
- The liquor left after the removal of crystals from a solution is called mother liquor.
- The first stage of crystal formation is called nucleation.
Swenson-Walker crystalliser is a batch crystalliser.
- note: all choices are correct
Electromagnetic radiations propagate in vacuum with a velocity of __________ metre/second.
- 3 x 10^5
- 3 x 10^8
- 3 x 10^10
- 3 x 10^12
3 x 10^8
Heat flux is the time rate of heat transfer per unit
- length
- area
- volume
- none of these
area
Film boiling occurs at __________ pressure.
- atmospheric
- sub-atmospheric
- negative
- very high
very high
Heat flux through several resistances in series in analogous to the current flowing through several
- resistances in parallel.
- capacitors in series.
- resistances in series.
- none of these.
resistances in series.
Extended heat transfer surface like fins are used to increase the heat transfer rate. Fin efficiency is defined as the ratio of heat transferred across the fin surface to the theoretical heat transfer across an equal area held at the
- surrounding temperature.
- average temperature of the fin.
- temperature of the fin end.
- constant temperature equal to that of the base
constant temperature equal to that of the base
Vacuum is generally maintained in the vapour space of an evaporator mainly to
- get economical temperature difference by using moderate pressure steam.
- facilitate forward feeding in multiple effect evaporation.
- concentrate heat sensitive materials.
- achieve very high concentration of the final product.
get economical temperature difference by using moderate pressure steam.
true ans: concentrate heat sensitive materials.
Double pipe heat exchangers are used
- when heat transfer area required is very high.
- when heat transfer area required is very low, i.e (100-200 ft^2).
- because it occupies less floor area.
- because it is less costly.
when heat transfer area required is very low, i.e (100-200 ft^2).
Pick out the wrong statement.
- Heat transfer by radiation can not occur across an absolute volume.
- In case of a shell and tube heat exchanger, the pressure drop through the shell is proportional to the number of times the fluid crosses the bundle between baffles.
- Propagation velocity for travel of heat radiation through vacuum is equal to the velocity of the light.
- The amount of heat involved in the condensation or vaporisation of 1 kg of a fluid is the same.
Heat transfer by radiation can not occur across an absolute volume.
Which type of heat exchanger is preferred for heavy heat loads ?
- Double pipe
- Plate fine
- Series and parallel set of shell and tube
- None of these
Series and parallel set of shell and tube
Pick out the wrong statement.
- Reciprocal of the resistance to heat flow is called thermal conductance.
- Unit of thermal conductance is W/°K.
- Thermal conductance of a wall of thickness ‘L’, thermal conductivity ‘k’ and heat flow area ‘A’ is kL/A.
- none of these.
Thermal conductance of a wall of thickness ‘L’, thermal conductivity ‘k’ and heat flow area ‘A’ is kL/A.
While the total emissivity of a perfect black body is unity, the same for a real body is
- 0
- 1
- > 1
- between 0 and 1
between 0 and 1
The Grashoff number is defined as the ratio of the
- buoyancy to inertial forces.
- buoyancy to viscous forces.
- inertial to viscous forces.
- buoyancy to surface tension forces.
buoyancy to viscous forces.
According to Reynolds analogy, Stanton number is equal to (where, f = Fanning friction factor)
- 2f
- f
- f/2
- f/4
f/2
The absorptivity of a body is equal to its emissivity
- at a particular temperature.
- for circular bodies.
- under thermal equilibrium.
- none of these.
under thermal equilibrium.
Absorptivity and refletivity of a perfect black body are respectively
- 1 and 0
- 0 and 1
- 1 and ∞
- 0 and 0.5
1 and 0
In thermal radiation for a black body (where, ε is emissivity and α is absorptivity)
- α = 1; ε ≠ 1
- α ≠ 1, ε = 1
- α ≠ 1, ε ≠ 1
- α = 1; ε = 1
α = 1; ε = 1
Pick out the wrong statement.
- Superheated steam is preferably not used for process heating because of its low heat transfer film co-efficient.
- In a shell and tube heat exchanger, the shell pressure drop is maximum for orifice baffles.
- S.I. unit of fouling factor is Watt/m2.°K.
- Longitudinal fins are used in extended surface heat exchangers, when the direction of fluid flow is parallel to the axis of the tube.
S.I. unit of fouling factor is Watt/m2.°K.
When warm and cold liquids are mixed, the heat transfer is mainly by
- conduction
- convection
- radiation
- both(a) & (c)
convection
A cube, sphere & a thin circular plate (all having same mass and made of same material) are all heated to 300°C and allowed to cool in natural air. Which one will cool the slowest ?
- Cube
- Plate
- Sphere
- All will cool at the same rate
Sphere
Vent pipes are provided in a condenser to
- remove non-condensable gases.
- purge the condenser.
- facilitate easy cleaning of tubes.
- none of these.
remove non-condensable gases.
Heat transfer by natural convection is enhanced in system with
- high viscosity.
- high co-efficient of thermal expansion.
- low temperature gradients.
- low density change with temperature.
high co-efficient of thermal expansion.
In case of __________ boiling, the bubbles formed on a submerged hot surface get absorbed in the mass of the liquid.
- nucleate
- pool
- low pressure
- none of these
pool
true ans: none of these
A body cools down from 75°C to 70°C in 10 minutes. It will cool down from 70° C to 65° C in __________ minutes.
- 10
- > 10
- <10
- either (b) or (c), depends on the mass of the body
> 10
In forced convection, the Nusselt number is a function of
- Re and Pr
- Re and Gr
- Pr and Gr
- Re and Sc
Re and Pr
At what value of Prandtl number, the hydrodynamic and thermal boundary layers are identical ?
- 0.5
- 1
- 1.5
- 80
1
A dilute aqueous solution is to be concentrated in an evaporator system. High pressure steam is available. Multiple effect evaporator system is employed, because
- total heat transfer area of all the effects is -less than that in a single effect evaporator system.
- total amount of vapor produced per Kg of feed steam in a multiple effect system is much higher than in a single effect.
- boiling point elevation in a single effect system is much higher than that in any effect in a multieffect system.
- heat transfer co-efficient in a single effect is much lower than that in any effect in a multieffect system.
total amount of vapor produced per Kg of feed steam in a multiple effect system is much higher than in a single effect.