KEVOS® MAKEOS · Hydraulics

Heat Exchanger LMTD and Area

What log mean temperature difference and area does this heat exchanger need for the duty?

Log mean temperature difference for counter-flow or parallel-flow exchange, the area needed for a heat duty at an overall coefficient, and a temperature-cross check.

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How this tool works

Inputs, units and where to find them

InputUnitTypical source
Hot fluid in°CInlet temperature of the hot fluid.
Hot fluid out°COutlet temperature of the hot fluid.
Cold fluid in°CInlet temperature of the cold fluid.
Cold fluid out°COutlet temperature of the cold fluid.
Flow arrangementchoiceFlow arrangement (shell-and-tube with several passes needs a correction factor, not included).
Heat dutykWHeat to transfer.
Overall heat transfer coefficientW/(m²·K)Overall coefficient for the exchanger type and fluids (oil to water about 200–600 W/m²K).

Method and formulas

  1. Counter-flow: ΔT₁ = Th,in − Tc,out; ΔT₂ = Th,out − Tc,in. Parallel: ΔT₁ = Th,in − Tc,in; ΔT₂ = Th,out − Tc,out.
  2. LMTD = (ΔT₁ − ΔT₂) ÷ ln(ΔT₁ ÷ ΔT₂).
  3. Area = Q ÷ (U × LMTD).
  4. Example: the default temperatures give LMTD = 29.72 K and need 1.6824 m² for 20 kW.

Limitations

  • Pure counter-flow or parallel flow; multi-pass exchangers need the F correction factor.
  • Fouling must be included in U.
  • Example values are illustrations. Replace them with values for your actual task.

Typical uses

  • Size an oil cooler or plate heat exchanger
  • Check an existing exchanger for a new duty
  • Compare counter-flow and parallel flow

Who it is for

  • Process engineers
  • Maintenance engineers
  • Design engineers

What you get

  • Terminal temperature differences
  • LMTD
  • Area required

Interpreting the result

  • Counter-flow needs less area and allows the cold outlet to exceed the hot outlet.

References

  • Machinery’s Handbook, 29th edition (Industrial Press, 2012), printed pp. 371–378. Topic reference; no source tables or recommended settings are reproduced.

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Open the Heat Exchanger LMTD and Area calculator