Fluid machenics Flashcards
What are the laws affecting fluid motion?
(ESE 2009
(a) The principle of conservation of mass.
(b) Newton’s laws of motion and viscosity.
(c) The first and second laws of thermodynamics.
Why mercury is preferred for use in barometer
and in other pressure measuring devices?
The low vapour pressure along with its high
density.
1.25 Define kinematic viscosity and ~ .. ‘
viscosity.
Kinematic V1scos1ty is the mea . su~ ~ ~e
resist1ve flow of a fluid under the .
1
nfl . uence of
gravity. It may also be defined as the ab
1
t . f fl . sou e viscosity o a Uld divided by its denslt .
Absolute viscosity is the resistance t~ flow
encountered when one layer or plane of fluid
attempts to move over another identical layer
of plane of fluid at a given speed, Absolute
viscosity is also called dynamic viscosity
Differentiate between solid and liquid?
(ESE 2012
Solid, which is a state of matter that has a fixed
volume and shape with atoms that are bound
tightly to each other that makes It resistant to
change. They can only change if they are cut or
broken by force,
Liquid,which is another state of matter that .has
no shape and takes the shape of the conta1ner
that holds it.’ Atoms in a liquid, although also
bound together but are temporary thus allowing
them to move freely and flow.
What is hydraulic engineering?
Hydraulic engineering is a sub-discipline of civil
engineering and is concerned with the flow and
conveyance of fluids, principally water and
sewage. One feature of these systems is the
extensive use of gravity as the motive force to
cause the movement of the fluids. This area of
civil engineering is intimately related to the design
of bridges, dams, channels, canals, and levees
and to both sanitary and environmental
engineering
What is viscosity?
ESE 2016
It is the property of fluid by virtue of which it
offers resistance to the movement of one layer
to adjacent layer. It occurs mainly due to
cohesion between the fluid particles and the
exchange of momentum between the fluid
layers.
It is expressed as shear stress per unit rate of
change of shear strain i.e.
‘t
J.l = dv!dy
Its Sl unit is N.s/m2 or Pa.s.
How viscosity varies with velocity?
ESE 2016
Viscosity is the property of a fluid which is
independent of fluid velocity. However it
depends on the fluid temperature.
Explain various properties of fluid?
ESE 2016
The various properties of fluid are as under:
Mass density: It is the mass of fluid per unit
its volume i.e.
Mass density {p) = Mass of the fluid (M) I
Volume of the fluid (V).
Its Sl unit is kglm3.
Specific weight: It is the weight of fluid per
unit volume of the fluid i.e.
Specific weight (w) = Weight of the fluid (W) I
Volume of the fluid (V)
Its Sl unit is Nlm3.
Specific volume: It is the volume of the fluid
per unit weight of the fluid i.e.
Specific volume = Volume of fluid (V)I Weight
of the fluid (W)
Its Sl unit is m3IN.
Viscosity: It is the property of fluid by virtue of
which it offers resistance to the movement of
one layer to adjacent layer. It occurs mainly due
to cohesion between the fluid particles and the
exchange of momentum between the fluid
layers.
It is expressed as shear stress per unit rate of
change of shear strain i.e.
‘t
11 = dv! dy
Its Sl unit is N.slm2 or Pa.s.
Surface tension: It is the property of fluid film
by virtue of which it exerts tension and Is
expressed as,
Surface tension (a)= Force (F)Ilength(L)
Its Sl unit is N/m.
What Is Pascal’s law?
ESE 2012
According to Pascal’s law the intensity of
pressure at any point in a static fluid is same In
all directions.
What Is stable equilibrium?
If centre of buoyancy lies directly above the
centre of gravity.
What do you understand by, stagnation
pressure and dynamic pressure?
Stagnation pressure: The point where the fluid
is at rest is called as stagnation point (like in
Pitot’s tube) and the pressure at that point is
called as stagnation pressure.
Dynamic pressure: The pressure anywhere in
the flowing fluid is called as dynamic pressure.
What is velocity potential function?
It is a scalar function of space and time, its
negative derivative with respect to any direction
gives the fluid velocity in that direction.
What Is convective acceleration?
It is the rate of change of velocity due to the
change of position of fluid particles in a fluid
flow.
How can you say that the fluid flow is
irrotational?
If velocity potential exists, the flow should be
irrotational or if stream function satisfies the
Laplace equation, then also the fluid flow is
irrotational
What is a stream function?
It is that function whose partial derivative with
respect to any direction gives the velocity
component at right angles to that direction.
What is flow net?
A grid obtained by drawing a series of
equipotential lines and stream lines is called
flow net
What is streamlined and bluff body?
A body whose surface coincides with the
streamlines, when the body is placed in a ftow
is called streamlined body. If the surface of the
body does not coincide with the stream lines,
the body is called bluff body.
Is the flownet analysis applicable to
rotational flow? If not, why?
Flow net analysis is applicable to rotational ftow
as well however if the flow is irrotational then
the problem can be solved graphically. Flow
net is very useful in analyzing two dimensional
irrotational flow problems.
A cylindrical tank half filled with a liquid is
rotated about its vertical axis with a certain
constant speed. If the liquid at the sides
reaches at the top of the tank, what would
be the level of water at the axis of rotation?
In this case, the depth of water at the middle
on the vertical axis of rotation is equal to twice
the rise of liquid on the sides
What is Euler’s equation of motion?
ESE 2012
Euler’s equation of motion considers only two
forces, namely the pressure force and the fluid
weight or the body force.
How can you determine the flow rate?
ESE 2008
The numerical difference in stream function
between two streamlines is equal to the flow
rate per unit width passing between them.
What is forced vortex?
ESE 2016
When a fluid is rotated about a vertical axis at
constant speed, every particle of it has the same
angular velocity and the fluid moves as if it were
a solid. This type of motion is known as forced
vortex.
What is continuity equation?
ESE 2012
Continuity equation is a mathematical
expression of conservation of mass . This
equation is based on the principle that the mass
of any matter can neither be created nor be
destroyed.
What are assumptions of continuity
equation?
(ESE 2016)
In continuity equation, It is assumed that flow
rate is constant. It Is based on principle of
conservation of mass I.e. mass can neither be
created nor be destroyed.
What Is free vortex?
ESE 2016
A free vortex is characterized by velocity which
YClries invensely with the distance from the axis.
e.g. Flow in a wash basin.
What is uniform and non-uniform flow?
ESE 2017
Flow is said to be uniform, when the velocity of
flow does not change either in magnitude or in
direction at any point in a flowing fluid, for a
given time.
Flow is said to be non-uniform, when there is a
change in velocity of the flow at different points
in a flowing fluid, for a given time.
What Is steady and unsteady flow?
ESE 2017
A flow that is not a function of time is called
steady flow. Steady-state flow refers to the
condition where the fluid properties at a point in
the system do not change over time. Time
dependent flow is known as unsteady and also
called transient.
What are the various methods to draw flow
nets?
- Hydraulic models
- Analytical method
- Electrical Analogy method
- Graphical method
What type of flow exists in rivers?
ESE 2017
Normally unsteady flow exists in rivers.
What Is the D’ Alembert’s paradox
The steady flow of an Ideal fluid around
immersed bodies leads to zero resistance, except In those cases where vortex trail exists
in the works of the body.
How the ogee spillway profile determined?
For designed head it follows the profile of the
lower nappe.
What are the limitations of the Bernoulli’s
equation?
Limitations of Bernoulli’s equation:
(a) It is applicable for steady flows and thus
cannot be applied during transients, start
ups and shut down periods.
(b) Velocity of liquid particle at the pipe centre
is maximum and it decreases as distance
from the pipe centre line increases. Thus
only a mean velocity is taken into account
and not the actual velocity of individual
fluid particles.
(c) External forces acting on the liquid are
always neglected but this is not the case
at all the times. External forces do act on
the liquid.
(d) In turbulent flow, some kinetic energy is
converted into heat energy and in viscous
flow, some energy is lost due to shear
stresses. All such losses are neglected in
Bernoulli’s equations.
(e) If the liquid is flowing through a curved
path then energy due to centrifugal forces
should also be taken into account.
(f) This equation was derived from a force
balance on a particle moving along a
streamline. Thus it is not applicable where
shaft work is involved like in turbines,
pumps, fans, impellers etc.
(g) Another approximation made in the
Bernoulli’s equation was that density of
fluid remains constant. This condition can
be satisfied by liquids but not gases.
How Is the Bernoulli’s equation related to the
first law of thermodynamics?
Both Bernoulli’s equation and the first law of
thermodynamics are the alternate forms of
principle of conservation of energy.
Explain how the modern rockets are
launched? How is the tremendous thrust
required to send it into a pre-determined
trajectory achieved?
A rocket is a machine that develops thrust by
rapid expulsion of matter. A rocket engine differs
from other engines in the sense that it carries
its fuel and oxidizer internally which will be burnt
in vacuum of space as well as in earth’s
atmosphere. The thrust generated by the first
stage must be greater than the complete weight
of the launch vehicle while standing on a launch
pad. Once moving upwards, thrust continues
to be generated to accelerate the launch vehicle
against the force of gravity. Additional thrust
must be generated so that the satellite can be
placed in orbit.
Propellant of the rocket engine is either liquid
or solid or hybrid. Propellant generally consists
of a fuel and an oxidizer. Liquid propellant rocket
engines burn two separately stored liquids viz.
a fuel and an oxidizer, to produce the thrust.
Typical fuel-oxidizer combinations are: liquid
hydrogen-liquid oxygen, kerosene-liqui.d
oxygen, aniline-nitric acid, hydrazine which 15
a monopropellant
What are the various methods for measuring
flow in pipelines? Discuss their advantages
and disadvantages
Various methods of measuring flow in pipes are:
(a) Pi tot tube: It can be used in both channels
and conduits. These tend to get clogged
unless the flowing fluid is very clean.
(b) Differential producers: This class of flow
measurement device is used for full pipe
flow. They cause a pressure differential
which can be measured and correlated to
velocity to give flow rate.
Example: Venturimeter, Nozzles, Orifices
Under what conditions will a flow through reentrant mouthpiece occur? What is Borda’s
mouthpiece?
An internal mouthpiece extending into the fluid
inside the vessel is called as Borda’s
mouthpiece or re-entrant mouthpiece. Two types
of flow occur in this viz. mouthpiece running
full and mouthpiece running free. In free
running mouthpiece, the length of the
mouthpiece is small and thus the jet after
converging at vena contracta cannot expand
to fill the mouthpiece to the full before it
emerges from the mouthpiece. In mouthpiece
running full, the length of mouthpiece is large
so that the jet expands after contracting at vena
contracta and expands to fill the mouthpiece
completely
Will the discharge get affected by changing
the orientation of the venturlmeter?
Discharge does not depend upon the orientation
of the venturimeter. It may be kept horizontal,
Inclined at any angle or even vertical without
affecting the discharge.
What are the factors influencing the
co-efficient of discharge?
{ESE 2009)
Inside roughness, Reynold’s number, diameter
ratio, placement of pipe fittings such as bends,
valves etc.
Which device gives more accurate value for
measurement of discharge: Orificemeter or
Venturimeter? Give reason?
{ESE 2006)
Venturimeter gives more precise discharge
measurement as compared to orifice meter. In
venturimeter, the tube smoothly converges and
then diverges with minimum loss of energy. In
orifice meter, a sharp edged plate is fitted by
clamps and is put in the flow field, pressure
drop occurs with substantial loss of energy.
How can you derive Bernoulli’s equation?
ESE 2012
Bernoulli’s equation can be derived by
integration of Euler’s equation of motion and by
the principle of conservation of energy.
What are the applications of Bernoulli’s
equation?
{ESE 2012)
Bernoulli’s equation combined with continuity
equation can be used in very wide range of fluid
problems like flow measuring devices (venturi
meter, orifice meter, pitot tube ), free liquid jet
etc.
what is bernoulli’s principle
Bernoulli’s principle Is In reot anothm torm ot
law of conservation of energy. It states rr1ot riQ,
(or fall) In pressure of flowing fluid must bo
accompanied by a fall (or rlso) in tho fllJid
velocity. Thus an Increase (or decreaoo) in tho
fluid velocity causes a decrease (or lnr:roaeo)
in the fluid pressure and vice versa. It lo
expressed as:
State Naiver Stoke’s equation and type of
forces involved in lt.
(ESE 2016)
In Navier-Stoke’s equation, the forces that are
considered in fluid flow are the gravitational
force (F9
) , viscous force (F) and the pressure
force (F). Thus as per Navier- Stoke’s equation, p
Ma= F + F + F g v p
Navier-Stoke’s equations are useful for analysis
of viscous flow
Enumerate distinguishing characteristics of
laminar flow.
Characteristics of laminar flow
(a) In laminar flow, the fluid particles move
along straight paths in layers or laminas
such that the path of individual particles
do not cross each-other.
(b) This type of flow occurs at low velocity so
that viscous forces predominate over
Inertial forces.
(c) Due to dominating viscous forces, shear
stress occurs which is maximum at the
boundary and decreases as distance frorn
the boundary Increases.