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Paul Ashall, 2008
Module 9002
Heat Transfer and Heat
Exchangers
Paul Ashall, 2008
Heat Exchangers
• Heaters (sensible heat changes)
• Coolers (sensible heat changes)
• Condensers (also change of state, V to L)
• Evaporators (also change of state, L to V)
Paul Ashall, 2008
Types of Heat Exchanger
• Shell and tube
• Double pipe
• Plate
• Finned tubes/gas heaters
• spiral
• Vessel jackets
• Reboilers and vapourisers/evaporators
Etc
• Direct/indirect
Paul Ashall, 2008
Uses in chemical processes
• Chemical reactors (jackets, internal heat exchangers/calandria)
• Preheating feeds
• Distillation column reboilers
• Distillation column condensers
• Air heaters for driers
• Double cone driers
• evaporators
• Crystallisers
• Dissolving solids/solution
• Production support services – HVAC, etc
• Heat transfer fluids
• etc
Paul Ashall, 2008
continued
Important consideration in:
• Scale-up i.e. laboratory scale (‘kilo lab’) to
pilot plant scale (250 litres) to full plant
scale operation (10000 litres)
• Energy usage and energy costs
• Process design and development
Paul Ashall, 2008
Heat transfer fluids
• Steam (available at various temperatures and pressures)
• Cooling water (15oC)
• Chilled water (5oC)
• Brines (calcium chloride/water fp. -18 deg cent. at 20% by
mass; sodium chloride/water fp. -16.5 deg cent. at 20 % by
mass)
• Methanol/water mixtures
• Ethylene glycol/water mixtures
• Propylene glycol/water mixtures (fp. -22 deg cent at a
concentration of 40% by mass)
• Silicone oils (‘syltherm’)
Paul Ashall, 2008
Low temperature heat transfer fluids
Considerations:
• Temperature(s) required
• Freezing point
• Viscosity
• Specific heat
• Density
• Hazardous properties
Paul Ashall, 2008
Mechanisms for heat transfer
• Conduction
• Convection
• Radiation
Driving force for heat transfer is temperature
difference. Heat will only flow from a hotter
to a colder part of a system.
Paul Ashall, 2008
Heat transfer by conduction
Fouriers law
dQ/dt = -kA(dT/dx)
dQ/dt – rate of heat transfer
k – thermal conductivity
A – area perpendicular to direction of heat
transfer, x
dT/dx – temperature gradient in direction x
Paul Ashall, 2008
Heat transfer by conduction
(steady state)
Q = kmA (ΔT/x)
or q = km (ΔT/x)
q – heat flux, J/s m-2
Q - rate of heat transfer, J/s
km – mean thermal conductivity,
A – area perpendicular to the direction of heat
transfer, m2
ΔT – temperature change (T1 – T2), K
x – length, m
Paul Ashall, 2008
Thermal conductivity, k
k (300K), Wm-1 K-1
Copper 400
Water 0.6
air 0.03
Paul Ashall, 2008
Conductive heat transfer through
adjacent layers
Paul Ashall, 2008
Example
Paul Ashall, 2008
Conduction of heat through
cylindrical vessels
Q = k2πLΔT/ln(r2/r1)
L – length of tube/cylinder
r2 external radius
r1 internal radius
Paul Ashall, 2008
AL , log mean wall area
Q = kmAL (T1 – T2)
r2 – r1
where AL= 2πL (r2 – r1)
ln(r2/r1)
Paul Ashall, 2008
Boundary layers and Heat transfer
coefficients
Paul Ashall, 2008
Determination of overall heat
transfer coefficient
Paul Ashall, 2008
Example – calculation of U
Paul Ashall, 2008
‘thin walled tube’approximation
Assumptions:
• Thin wall and therefore xw is small and
since k is large, term xw/kALis negligible
compared to other terms
• Also A terms cancel as they are
approximately equal
1/U = 1/h1 + 1/h2
Paul Ashall, 2008
Fouling factors
Heat transfer surfaces do not remain clean. They
become contaminated with dirt, scale, biofilms etc.
This has the effect of reducing the overall heat
transfer coefficient and reducing the rate of heat
transfer. We take account of this by adding a term
1/Ahd for each deposit to the equation for the
overall heat transfer coefficient, U, where hd is the
fouling factor for the deposit and A is the
corresponding area term. They represent an
additional resistance to heat transfer.This will have
the effect of reducing U and therefore Q.
Paul Ashall, 2008
Heat flow (duty)
Q = hAΔT
or
Q = UAΔT
Paul Ashall, 2008
Sensible heat changes
Q = mcpΔT
m mass flow, kg/s
Cp specific heat J kg-1 K-1
ΔT change in temperature of fluid
Paul Ashall, 2008
Evaporators/condensers
Paul Ashall, 2008
Enthalpy balance
Enthalpy lost by hot fluid = enthalpy gained
by cold fluid
(Assume negligible heat losses to
surroundings)
Paul Ashall, 2008
Simple double tube single pass heat
exchanger
• Co-current operation
• Counter-current operation
• Temperature profiles
• LMTD
Paul Ashall, 2008
Heat exchanger duty
Q = UAθlmtd
Paul Ashall, 2008
Examples
Paul Ashall, 2008
Multi pass shell and tube heat
exchangers
• LMTD correction factor, F
• LMTD value used is that for counter
current flow with same fluid inlet/outlet
temperatures
Q = UAθlmtdF
Paul Ashall, 2008
Example – double pass
T1
T2
t1
t2
T1 = 455K; T2 = 388K; t1 = 283K; t2 = 372K
Paul Ashall, 2008
continued
P = (372 – 283)/(455 – 283) = 0.52
R = (455 – 388)/(372 – 283) = 0.75
Therefore F= 0.87 (from graph)
To obtain maximum heat recovery from the
hot fluid, t2 must be as high as possible.
T2 – t2 is known as the approach temperature.
Paul Ashall, 2008
Dittus-Boelter equation
Used for calculating h values in circular tubes
under turbulent flow conditions.
Nu = 0.023 Re0.8 Pr 0.4
Paul Ashall, 2008
Simple design
Paul Ashall, 2008
Non-steady state processes
Paul Ashall, 2008
Heat transfer by radiation
q = eσ(T1
4 – T2
4)
q – heat flux
e – emissivity (0 to 1) – typically 0.9
σ – Stefan-Boltzmann const.(5.67 x 10-8 W m-2 K-4)
T1 – temp. of body (K)
T2 – temp. of surroundings
Paul Ashall, 2008
Example
Paul Ashall, 2008
Types of heat exchanger – shell &
tube
• Passes
• shell
• Multiple tubes
• Baffles
• Co- and counter current operation
Paul Ashall, 2008
Plate
• Individual separated thin corrugated parallel s.s.
plates
• Gaskets separate plates
• Gap approx. 1.4mm
• Plate and frame arrangement
• High h values at relatively low Re values and low
flow rates
• Can operate with small ΔT
• Reduced fouling
• Easy cleaning
Paul Ashall, 2008
Finned tubes
• Radial fins
• Longitudinal fins
• For air/gas heaters where film heat transfer
coefficients on gas side will be very low compared
with condensing steam on the other side of tube.
Rate of heat transfer is increased by increasing
surface area on side of tube with the limiting (low)
heat transfer coefficient (gas side).
Paul Ashall, 2008
References
• An Introduction to Industrial Chemistry, Ed. C. A. Heaton
• Concepts of Chemical Engineering 4 Chemists, Ed. S. Simons, RSC,
2007
• Unit Operations of Chemical Engineering, W. L. McCabe et al
• Chemical Engineering Vol. 1, Coulson & Richardson
• Heat Transfer, R. Winterton
• Introduction to Heat Transfer, F. P. Incropera & D. P. DeWitt
• Ullmans Encyclopedia of Industrial Chemistry
• Engineering Thermodynamics

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Heat Transfer and Heat Exchangers.ppt

  • 1. Paul Ashall, 2008 Module 9002 Heat Transfer and Heat Exchangers
  • 2. Paul Ashall, 2008 Heat Exchangers • Heaters (sensible heat changes) • Coolers (sensible heat changes) • Condensers (also change of state, V to L) • Evaporators (also change of state, L to V)
  • 3. Paul Ashall, 2008 Types of Heat Exchanger • Shell and tube • Double pipe • Plate • Finned tubes/gas heaters • spiral • Vessel jackets • Reboilers and vapourisers/evaporators Etc • Direct/indirect
  • 4. Paul Ashall, 2008 Uses in chemical processes • Chemical reactors (jackets, internal heat exchangers/calandria) • Preheating feeds • Distillation column reboilers • Distillation column condensers • Air heaters for driers • Double cone driers • evaporators • Crystallisers • Dissolving solids/solution • Production support services – HVAC, etc • Heat transfer fluids • etc
  • 5. Paul Ashall, 2008 continued Important consideration in: • Scale-up i.e. laboratory scale (‘kilo lab’) to pilot plant scale (250 litres) to full plant scale operation (10000 litres) • Energy usage and energy costs • Process design and development
  • 6. Paul Ashall, 2008 Heat transfer fluids • Steam (available at various temperatures and pressures) • Cooling water (15oC) • Chilled water (5oC) • Brines (calcium chloride/water fp. -18 deg cent. at 20% by mass; sodium chloride/water fp. -16.5 deg cent. at 20 % by mass) • Methanol/water mixtures • Ethylene glycol/water mixtures • Propylene glycol/water mixtures (fp. -22 deg cent at a concentration of 40% by mass) • Silicone oils (‘syltherm’)
  • 7. Paul Ashall, 2008 Low temperature heat transfer fluids Considerations: • Temperature(s) required • Freezing point • Viscosity • Specific heat • Density • Hazardous properties
  • 8. Paul Ashall, 2008 Mechanisms for heat transfer • Conduction • Convection • Radiation Driving force for heat transfer is temperature difference. Heat will only flow from a hotter to a colder part of a system.
  • 9. Paul Ashall, 2008 Heat transfer by conduction Fouriers law dQ/dt = -kA(dT/dx) dQ/dt – rate of heat transfer k – thermal conductivity A – area perpendicular to direction of heat transfer, x dT/dx – temperature gradient in direction x
  • 10. Paul Ashall, 2008 Heat transfer by conduction (steady state) Q = kmA (ΔT/x) or q = km (ΔT/x) q – heat flux, J/s m-2 Q - rate of heat transfer, J/s km – mean thermal conductivity, A – area perpendicular to the direction of heat transfer, m2 ΔT – temperature change (T1 – T2), K x – length, m
  • 11. Paul Ashall, 2008 Thermal conductivity, k k (300K), Wm-1 K-1 Copper 400 Water 0.6 air 0.03
  • 12. Paul Ashall, 2008 Conductive heat transfer through adjacent layers
  • 14. Paul Ashall, 2008 Conduction of heat through cylindrical vessels Q = k2πLΔT/ln(r2/r1) L – length of tube/cylinder r2 external radius r1 internal radius
  • 15. Paul Ashall, 2008 AL , log mean wall area Q = kmAL (T1 – T2) r2 – r1 where AL= 2πL (r2 – r1) ln(r2/r1)
  • 16. Paul Ashall, 2008 Boundary layers and Heat transfer coefficients
  • 17. Paul Ashall, 2008 Determination of overall heat transfer coefficient
  • 18. Paul Ashall, 2008 Example – calculation of U
  • 19. Paul Ashall, 2008 ‘thin walled tube’approximation Assumptions: • Thin wall and therefore xw is small and since k is large, term xw/kALis negligible compared to other terms • Also A terms cancel as they are approximately equal 1/U = 1/h1 + 1/h2
  • 20. Paul Ashall, 2008 Fouling factors Heat transfer surfaces do not remain clean. They become contaminated with dirt, scale, biofilms etc. This has the effect of reducing the overall heat transfer coefficient and reducing the rate of heat transfer. We take account of this by adding a term 1/Ahd for each deposit to the equation for the overall heat transfer coefficient, U, where hd is the fouling factor for the deposit and A is the corresponding area term. They represent an additional resistance to heat transfer.This will have the effect of reducing U and therefore Q.
  • 21. Paul Ashall, 2008 Heat flow (duty) Q = hAΔT or Q = UAΔT
  • 22. Paul Ashall, 2008 Sensible heat changes Q = mcpΔT m mass flow, kg/s Cp specific heat J kg-1 K-1 ΔT change in temperature of fluid
  • 24. Paul Ashall, 2008 Enthalpy balance Enthalpy lost by hot fluid = enthalpy gained by cold fluid (Assume negligible heat losses to surroundings)
  • 25. Paul Ashall, 2008 Simple double tube single pass heat exchanger • Co-current operation • Counter-current operation • Temperature profiles • LMTD
  • 26. Paul Ashall, 2008 Heat exchanger duty Q = UAθlmtd
  • 28. Paul Ashall, 2008 Multi pass shell and tube heat exchangers • LMTD correction factor, F • LMTD value used is that for counter current flow with same fluid inlet/outlet temperatures Q = UAθlmtdF
  • 29. Paul Ashall, 2008 Example – double pass T1 T2 t1 t2 T1 = 455K; T2 = 388K; t1 = 283K; t2 = 372K
  • 30. Paul Ashall, 2008 continued P = (372 – 283)/(455 – 283) = 0.52 R = (455 – 388)/(372 – 283) = 0.75 Therefore F= 0.87 (from graph) To obtain maximum heat recovery from the hot fluid, t2 must be as high as possible. T2 – t2 is known as the approach temperature.
  • 31. Paul Ashall, 2008 Dittus-Boelter equation Used for calculating h values in circular tubes under turbulent flow conditions. Nu = 0.023 Re0.8 Pr 0.4
  • 33. Paul Ashall, 2008 Non-steady state processes
  • 34. Paul Ashall, 2008 Heat transfer by radiation q = eσ(T1 4 – T2 4) q – heat flux e – emissivity (0 to 1) – typically 0.9 σ – Stefan-Boltzmann const.(5.67 x 10-8 W m-2 K-4) T1 – temp. of body (K) T2 – temp. of surroundings
  • 36. Paul Ashall, 2008 Types of heat exchanger – shell & tube • Passes • shell • Multiple tubes • Baffles • Co- and counter current operation
  • 37. Paul Ashall, 2008 Plate • Individual separated thin corrugated parallel s.s. plates • Gaskets separate plates • Gap approx. 1.4mm • Plate and frame arrangement • High h values at relatively low Re values and low flow rates • Can operate with small ΔT • Reduced fouling • Easy cleaning
  • 38. Paul Ashall, 2008 Finned tubes • Radial fins • Longitudinal fins • For air/gas heaters where film heat transfer coefficients on gas side will be very low compared with condensing steam on the other side of tube. Rate of heat transfer is increased by increasing surface area on side of tube with the limiting (low) heat transfer coefficient (gas side).
  • 39. Paul Ashall, 2008 References • An Introduction to Industrial Chemistry, Ed. C. A. Heaton • Concepts of Chemical Engineering 4 Chemists, Ed. S. Simons, RSC, 2007 • Unit Operations of Chemical Engineering, W. L. McCabe et al • Chemical Engineering Vol. 1, Coulson & Richardson • Heat Transfer, R. Winterton • Introduction to Heat Transfer, F. P. Incropera & D. P. DeWitt • Ullmans Encyclopedia of Industrial Chemistry • Engineering Thermodynamics