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Heat Transfer LMTD

Last modified by
on
Sep 29, 2022, 12:53:48 AM
Created by
on
Nov 30, 2021, 10:03:57 PM
`Q = "U" * "A" *(DeltaT_A - DeltaT_B)/(ln(DeltaT_A) - ln(DeltaT_B))`
`(A)"Heat Transfer Surface Area"`
`(T_A)"Temperature Difference at End A"`
`(T_B)"Temperature Difference at End B"`
`(U)"Heat Transfer Coefficient"`
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UUID
6ab0ef97-5229-11ec-993a-bc764e203090

The Heat Transfer using LMTD calculator computes the overall heat transfer flow rate through a heat exchanger based on the heat transfer material coefficient, transfer area and the temperature difference at the two ends of the heat exchanger.

INSTRUCTIONS: Choose units and enter the following:

  • (U) Heat Transfer Coefficient. units: W/(m2⋅°C)
  • (A) Surface Area
  • (ΔTA)Temperature Change at Heat Exchanger End A
  • (ΔTB)Temperature Change at Heat Exchanger End B

Heat Transfer Flow Rate (Q): The energy flow rate is returned in watts (W).  However, this can be automatically converted to compatible units via the pull-down menu.

The Math / Science

The formula for Heat Transfer using LMTD is: 

`Q = U*A *(DeltaT_A - DeltaT_B)/(ln(DeltaT_A) - ln(DeltaT_B))`

where:

  • Q = Heat Energy Flow Rate, J/s = W
  • U = Heat transfer coefficient, W/(m2⋅C)
  • A = Heat Transfer Surface Area, m2
  • ΔTA = Temperature Change at Point A
  • ΔTB = Temperature Change at Point B

Heat Transfer Flow Rate is defined as the transfer of heat by convection or in the phase change (generally between fluid and a solid) across a medium.  The formula for Heat Transfer Flow Rate is:

`Q = U*A*LMTD`

Where,

  • Q = Heat Energy Flow Rate, J/s = W
  • U = Heat transfer coefficient, W/(m2⋅C)
  • A = Heat Transfer Surface Area, m2
  • LMTD = Logarithmic Mean Temperature Difference

The formula for the Logarithmic Mean Temperature Difference is: 

`LMTD = (ΔT_A - ΔT_B)/(lnΔT_A - lnΔT_B)`

where:

  • LMTD = Logarithmic Mean Temperature Difference
  • ΔTA = Temperature Change at Point A
  • ΔTB = Temperature Change at Point B

Heat Transfer Calculators


This equation, Heat Transfer LMTD, references 1 page
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