LMTD Calculator

Engineering calculator reviewed for preliminary design use · Last updated: March 2026

Calculate log mean temperature difference (LMTD) for heat exchanger design. Supports both counterflow and parallel flow configurations. Also computes the F-correction factor for shell-and-tube exchangers. Use as input to Q=UA×LMTD×F for area calculation.

Log Mean Temperature Difference (LMTD)

LMTD is the driving force for heat transfer in a heat exchanger. It represents the effective average temperature difference between the hot and cold streams and is more accurate than a simple arithmetic mean.

Formula

LMTD = (ΔT₁ − ΔT₂) / ln(ΔT₁/ΔT₂)

  • Counter-flow: ΔT₁ = T₁ᵢₙ − T₂ₒᵤₜ, ΔT₂ = T₁ₒᵤₜ − T₂ᵢₙ
  • Parallel-flow: ΔT₁ = T₁ᵢₙ − T₂ᵢₙ, ΔT₂ = T₁ₒᵤₜ − T₂ₒᵤₜ

Required Heat Transfer Area

A = Q / (U × LMTD × F)

  • Q: Heat duty [W]
  • U: Overall heat transfer coefficient [W/(m²·K)]
  • F: Correction factor for multi-pass or cross-flow (typically 0.7–0.95)

Design Tips

Counter-flow configurations achieve higher LMTD than parallel-flow, enabling more compact designs. For shell-and-tube exchangers, apply an F correction factor to account for cross-flow mixing.

Related: Heat Balance Calculator / Pipe Insulation Heat Loss Calculator

Frequently Asked Questions

When should I use the F correction factor?

F correction is needed for multi-pass shell-and-tube exchangers. For pure counterflow or pure parallel flow, F = 1. For 1-2 or 2-4 configurations, F < 1 and depends on the R and P ratios.

What if LMTD is very small or zero?

A very small LMTD means the temperature driving force is weak, requiring a very large heat transfer area. If LMTD approaches zero, the exchanger design is impractical. Consider changing flow arrangement or temperatures.

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Editorial Responsibility
  • Last reviewed: March 2026
  • Reviewed by: EngiCompute Editorial Team
  • Intended for preliminary engineering use

These results are preliminary estimates for screening-level design use. They do not replace detailed engineering, code compliance verification, or vendor-certified calculations.