Heat and Mass Transfer Flashcards
Two-phase mixture of mother liquor and crystal of all sizes
Magma
A growing crystal that maintains geometric similarity during growth
Invariant
Equilibrium in crystallization is reached when…
Solution is saturated
Number of new particles formed per unit time per unit volume of magma
Rate of nucleation
Ways of supersaturating the solution
1.Evaporation
2. Cooling
3. Vacuum cooling - adiabatic evaporation
4. Chemical reaction
5. Seeding - addition of third component to start crystallizatoon
Concentration difference between the supersaturated solution in which crystal is growing and that of a solution in equilibrium with the crystal
Supersaturation
∆y=y-ys
First step of crystal formation
Nucleation
Occurs in a bulk of fluid without solid-liquid interface
Homogeneous or Primary Nucleation
Occurs in the presence of other surfaces other than those of the crystals
Secondary or Heterogeneous Nucleation
Stages of Crystal Formation
- Cluster - loose aggregation
- Embryo - start of lattice arrangement
- Nucleus - unstable equipibrium
- Crystal
How to get solubility from mole fraction
x = S / (100+S)
Assumption in crystallization
Mother Liquor is always saturated thus its solute fraction can be obtained from the solubility at the given temperature
Flow preferred for crystallization
Countercurrent
Solute fraction for hydrate and non-hydrate
Hydrate: Xc= MWdry/MWtotal
NonHydrate: Xc = 1
Heat balance for crystallization
- Q crystals = Q water
Q crystals = F Cpf (Tl - Tf) + VHv + CHc
Q water = m Cp (t2 - t1)
Cp of water = 4.184 J/g-K
Hv = Hsv - Hsl
Hc is always negative (Hl»_space;>Hs)
Design Equation for crystallization
Q = UA ∆Tlm
Use ∆Tlm since temperature of cooling medium varies
Supersaturating mechanism used by Swenson-Walker Crystallizer
Cooling; V=0
Forced circulation evaporator with internal heater used for production of large and uniform crystals
Oslo Crystallizer
Assumption for Vacuum Crystallizer
Adiabatic; Q=0
Other term for evaporation
Water distillation
How does concentration of solution in evaporation affects overall heat transfer coefficient?
High Concentration
High Density
High Viscosity
High Boiling Point
Low Heat Transfer Coefficient
Design equation for evaporation
Q = U A ∆T
∆T = Tsteam - Tsolution
Why is vacuum pressure used in evaporator?
Low Operating Pressure
Low Boiling Point
Solvent will evaporate quicker
∆T will be larger
Solution properties that affect evaporation
- Concentration (needs to be low)
- Temperature sensitivity (food, pharma, biologicals can degrade fast at high T)
- Foaming/Frothing (caustic solutions, fatty acids can foam that causes heavy entrainment losses)
- Scale deposition (decreases U)
- Materials of construction
Why is saturated steam used during evaporation?
Saturated Steam has higher heat transfer coefficient (U) compared to Superheated steam
Capacity of Evaporator
Amount of Vapor evaporated/removed per unit time
Economy of an evaporator
E = Mv/Ms
When does flash evaporation occurs?
When Tfeed > Tvapor
Enthalpy balance for evaporation
Mf•Hf + Ms•Hs = Mv•Hv + M•H
Heat balance for evaporation without BPE
Qevap = -Qsteam
Qevap = Mf•Cpf•(T - Tf) + Mv•Hv
Qsteam = Ms•Hs
T=Tv=Tref since BPE=0
Crystal size in continuous crystallizer depends on
a. rate of heat transfer
b. degree of turbulence
c. degree of supersaturation
d. all
All of these
True or false. Heat waves travel in straight line and can be reflected by a mirror.
TRUE
Opaque surface towards radiation
Gases and Liquids
Black liquor from paper manufacturing is concentrated using
a. Single effect
b. Single effect with crystallizer
c. Multiple effect
d. Multiple effect with crystallizer
Multiple effect
Stanton number is proportional to
St = heat transfer coefficient/heat capacity = h/rhovCp
St proportional to f
TRUE OR FALSE. The fouling factor is dimensionless
FALSE
Fouling factor accounts the additional resistance to heat flow caused by scaling. It decreases ∆Tlm
Steam ejector
a. Superheats steam
b. Removes condensate from steam pipelines
d. Creates vacuum
Creates vacuum
For shell and tube, with increasing area, the purchased cost per unit area
a. increases
b. decreases
c. stays constant
d. passes through maxima
Passes through maxima
Floating head in an exchanger is used to
a. facilitate cleaning of exchanger
b. increase heat transfer area
c. relieve stress caused by expansion
d. increase log mean temperature
Relieve stress caused by thermal expansion