Log Mean Temperature Difference LMTD Calculator

The Log Mean Temperature Difference (LMTD) is the effective average temperature difference between hot and cold fluids in a heat exchanger. It is a key parameter used to calculate heat transfer and size exchangers accurately.

To make the process easier, we have created an online free LMTD Calculator.

LMTD Calculator

Log Mean Temperature Difference (LMTD) Calculator

Quickly size your heat exchangers

Input Parameters
Required
Required
Required
Required
Results
ΔT₁
ΔT₂
LMTD
Step-by-Step Calculation
  1. Enter values and hit “Calculate” to see the steps.

How to Use The Log Mean Temperature Difference Calculator

  1. Select heat exchanger type – Counter-flow or Parallel-flow.
  2. Enter hot fluid temps – inlet and outlet.
  3. Enter cold fluid temps – inlet and outlet.
  4. Click “Calculate” – the tool shows ΔT₁, ΔT₂, and LMTD.
  5. Check Theory tab – see step-by-step calculation.
  6. Use Reset – clear inputs to start again.

What is LMTD in heat transfer?

The Log Mean Temperature Difference (LMTD) is the effective average temperature driving force for heat transfer in a heat exchanger. Unlike the arithmetic mean, it accounts for the exponential variation of temperature difference along the exchanger length, making it more accurate for both parallel-flow and counterflow configurations.

formula

\Delta T_{lm} = \frac{\Delta T_1 - \Delta T_2}{\ln\left(\frac{\Delta T_1}{\Delta T_2}\right)}

Where:

  • ΔT₁ = Temperature difference at one end of the exchanger
  • ΔT₂ = Temperature difference at the other end of the exchanger

👉 For parallel flow:

  • ΔT₁ = Th,in − Tc,in
  • ΔT₂ = Th,out − Tc,out

👉 For counterflow:

  • ΔT₁ = Th,in − Tc,out
  • ΔT₂ = Th,out − Tc,in

LMTD Example

Example Calculation

Let’s consider a counterflow heat exchanger:

  • Hot fluid inlet (Th,in): 150 °C
  • Hot fluid outlet (Th,out): 80 °C
  • Cold fluid inlet (Tc,in): 20 °C
  • Cold fluid outlet (Tc,out): 70 °C

Step 1 – Calculate ΔT₁ and ΔT₂

  • ΔT₁ = Th,in − Tc,out = 150 − 70 = 80 °C
  • ΔT₂ = Th,out − Tc,in = 80 − 20 = 60 °C

 \Delta T_{lm} = \frac{80 - 60}{\ln\left(\tfrac{80}{60}\right)} = 69.7 \, ^\circ\mathrm{C} So, the LMTD is 69.7 °C.

Make sure your temperatures are in °C or K before using the calculator. If you need to convert units, try our free Unit Conversion Tool


FAQ (LMTD Calculator)

1. Is the Log Mean Temperature Difference Calculator is free?

Yes, this tool by chemicaltweak is completely free to use.

2. Which heat exchanger types can I use this calculator for?

The calculator works for both counterflow and parallel-flow heat exchangers.

3. What is the purpose of LMTD?

Log Mean Temperature Difference is to measure the effective average temperature difference between hot and cold fluids in a heat exchanger. This is the driving force for heat transfer and is used to find the heat duty and size the exchanger.