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HEAT EXCHANGER DESIGN. Heat Transfer Equipment Types. Double Pipe Heat Exchanger. Consists of two concentric pipes with one fluid flowing through the inner pipe while the other fluid flowing through the annular space. Shell and Tube Heat Exchanger.
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Double Pipe Heat Exchanger • Consists of two concentric pipes with one fluid flowing through the inner pipe while the other fluid flowing through the annular space
Shell and Tube Heat Exchanger • Consists of tube bundles enclosed in a cylindrical shell with one fluid flowing through the tubes and the other flowing outside of the tubes
Heat Transfer Equipment in Industries • Exchanger: heat exchanged between two process streams • Heaters and coolers: where one stream is plant service • Vaporiser: if a process stream is vaporised • Reboiler: a vaporiser associated with distillation column • Evaporator: if concentrating a solution • Fired exchanger: if heated by combustion gases • Unfired exchanger: not using combustion gases
Heat Transfer Equipment in Industries MODES of HEAT TRANSFER • Conduction • Transfer of heat from one part of a body to another part of the same body or between two bodies in physical contact, without significant displacement of the particles of the two bodies • Convection • Transfer of heat from one point to another within a fluid or between a fluid and a solid or another fluid, by the movement or mixing of the fluids involved • Radiation • Transfer of heat by the absorption of radiant energy
BASIC THEORY • General equation for heat transfer across a surface for DPHE is: • Q =heat transferred per unit time, W • U=the overall heat transfer coefficient, W/m2oC • A= heat-transfer area, m2 • Tm= the mean temperature difference,oC
BASIC THEORY • General equation for heat transfer across a surface for STHE is: • Q =heat transferred per unit time, W • U=the overall heat transfer coefficient, W/m2oC • A= heat-transfer area, m2 • Tm= the mean temperature difference,oC • Y = geometric correction factor
Tube-Side Passes • One tube pass • Two tube pass • Three tube passes
Geometric Correction Factor Also refer to Figure 11-4, Perry 7th Edition
Geometric Correction Factor For design to be practical, Y ≥ 0.85
Logarithmic Mean Temperature Difference ΔT1 ΔT2 If ΔT1 < ΔT2 and (ΔT2/ΔT1) ≤ 2, then ΔTlm is the arithmetic mean temp difference
Overall Heat Transfer Coefficient • Rearranging the General Equation in terms of driving force and total resistance: Driving Force Total Resistance
Overall Heat Transfer Coefficient • The overall coefficient is reciprocal of the overall resistance to heat transfer, which is the sum of several individual resistances. Individual resistance is the reciprocal of individual HTC.
Total Resistance • the sum of several individual resistances • Individual resistance is the reciprocal of individual HTC. Convection Conduction Convection inside
Total Resistance Conduction Heat Transfer is governed by Fourier’s Law! k = thermal conductivity of the Solid (BTU/hr-ft2-(OF/ft)) A = Area perpendicular to the direction of heat transfer x = distance of heat flow
Total Resistance At Steady State:
Total Resistance If k is constant: Define R = Δx/kA Thus, q= - ΔT/R
Total Resistance If k is not constant: If k varies slightly with Temp: **km is evaluated at the mean temperature
Total Resistance If k is not constant: If A varies slightly with Thickness:
Total Resistance Convection Heat Transfer q = hcA (T1 – T2) Where: hc- convection heat transfer coefficient, Btu/hrft2°F -similar to k/∆x A – Heat transfer Area T1 – temperature at surface 1 T2 – temperature at surface 2
Total Resistance Convection Heat Transfer: Rearranging q = (T1 – T2)/(1/hcA) Where: hc- convection heat transfer coefficient, Btu/hrft2°F -similar to k/∆x A – Heat transfer Area T1 – temperature at surface 1 T2 – temperature at surface 2
Total Resistance Convection Conduction Convection inside
Total Resistance inside
Invidual Heat Transfer Coefficient HT w/o Phase Change: DPHE For Long Tubes (L/D) > 50, Tube-side Applicabilty: Non-metallic fluid 0.5 < NPr < 100 NRE > 10,000
Invidual Heat Transfer Coefficient HT w/o Phase Change: DPHE For Long Tubes (L/D) > 50, Annular Space Applicabilty: Non-metallic fluid 0.5 < NPr < 100 NRE > 10,000
Invidual Heat Transfer Coefficient HT w/o Phase Change: DPHE For Short Tube (L/D < 50)
Invidual Heat Transfer Coefficient HT w/o Phase Change: DPHE Laminar Flow, Forced Convection
Invidual Heat Transfer Coefficient HT w/o Phase Change: STHE, ho
Invidual Heat Transfer Coefficient HT w/o Phase Change: STHE, hi
Invidual Heat Transfer Coefficient HT w/ Phase Change: STHE Film-type Condensation on Vertical Surface Assumptions: Pure vapor is at its saturation temperature. The condensate film flows in laminar regime and heat is transferred through the film by condensation. The temperature gradient through the film is linear. Temperature of the condensing surface is constant. The physical properties of the condensate are constant and evaluated at a mean film temperature. Negligible vapor shear exists at the interface
Invidual Heat Transfer Coefficient HT w/ Phase Change: STHE Film-type Condensation on Vertical Surface, Laminar
Invidual Heat Transfer Coefficient HT w/ Phase Change: STHE Film-type Condensation on Vertical Surface, Turbulent
Invidual Heat Transfer Coefficient HT w/ Phase Change: STHE Film-type Condensation on Horizontal Surface If the amount of condensate is unknown For Nre > 40, h is multiplied by 1.2
Invidual Heat Transfer Coefficient HT w/ Phase Change: STHE Film-type Condensation on Horizontal Surface If the amount of condensate is known For Nre > 40, h is multiplied by 1.2
Invidual Heat Transfer Coefficient HT w/ Phase Change: STHE Film-type Condensation on Horizontal Surface, Banks of Tubes For Nre > 40, h is multiplied by 1.2
Invidual Heat Transfer Coefficient HT w/ Phase Change: STHE Film-type Condensation on Horizontal Surface, Banks of Tubes
Invidual Heat Transfer Coefficient HT w/ Phase Change: STHE Film-type Condensation on Horizontal Surface, Banks of Tubes w/o splashing
Invidual Heat Transfer Coefficient HT w/ Phase Change: STHE Film-type Condensation on Horizontal Surface, Banks of Tubes w/ splashing
Invidual Heat Transfer Coefficient Film Temperature Condensate Properties are evaluated at the Film Temperature Tf = ½(Tsv + Tw) by Kern, D.Q., Process HT Tf = Tsv- 0.75ΔTby McAdams, W.H., Heat Transmission, 3rd. Ed. ΔT = Tsv - Tw
Invidual Heat Transfer Coefficient Film Boiling on Submerged Horizontal Cylinder or Sphere
Invidual Heat Transfer Coefficient Film Boiling on Submerged Horizontal Cylinder or Sphere
Invidual Heat Transfer Coefficient Film Boiling on Submerged Horizontal Cylinder or Sphere Nusselt-type Equation by Rohsenow: Cr varies from 0.006 to 0.015
Invidual Heat Transfer Coefficient Film Boiling on Submerged Horizontal Cylinder or Sphere Nusselt-type Equation by Forster and Zuber: