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Lmtd Formula Calculator

LMTD Formula:

\[ LMTD = \frac{\Delta T_1 - \Delta T_2}{\ln(\Delta T_1 / \Delta T_2)} \]

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1. What is the LMTD Formula?

The Log Mean Temperature Difference (LMTD) is used to determine the temperature driving force for heat transfer in heat exchangers. It provides a logarithmic average of the temperature difference between the hot and cold streams at each end of the heat exchanger.

2. How Does the Calculator Work?

The calculator uses the LMTD formula:

\[ LMTD = \frac{\Delta T_1 - \Delta T_2}{\ln(\Delta T_1 / \Delta T_2)} \]

Where:

Explanation: The LMTD accounts for the varying temperature difference along the length of the heat exchanger, providing an effective average temperature difference for heat transfer calculations.

3. Importance of LMTD Calculation

Details: Accurate LMTD calculation is crucial for designing heat exchangers, determining heat transfer rates, and evaluating heat exchanger performance.

4. Using the Calculator

Tips: Enter the larger temperature difference as ΔT1 and the smaller difference as ΔT2. Both values must be positive and ΔT1 must be greater than ΔT2.

5. Frequently Asked Questions (FAQ)

Q1: When should I use LMTD method?
A: The LMTD method is most appropriate for heat exchangers with constant flow rates and when the specific heat capacities of the fluids don't vary significantly with temperature.

Q2: What if ΔT1 equals ΔT2?
A: When ΔT1 = ΔT2 (parallel flow with equal temperature changes), the LMTD simplifies to just ΔT (as the logarithmic mean approaches the arithmetic mean).

Q3: What are typical LMTD values?
A: Typical values depend on application, but generally range from 10-50°C for liquid-liquid exchangers and higher for condensers/evaporators.

Q4: Are there limitations to LMTD method?
A: Yes, it's less accurate for complex flow arrangements or when fluid properties vary significantly with temperature. The ε-NTU method may be better in such cases.

Q5: How does counter-flow vs parallel-flow affect LMTD?
A: Counter-flow typically results in a higher LMTD than parallel-flow for the same inlet/outlet temperatures, making it more thermally efficient.

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