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Question

LMTD stands for _______.

The correct answer is

Logarithmic Mean Temperature Difference.

Understanding LMTD

The question asks for the full form of the acronym LMTD.

LMTD is a term frequently used in heat transfer, particularly when dealing with heat exchangers.

Let's examine the given options:

  • Option 1: Least Mean Temperature Difference. This is not the correct expansion.
  • Option 2: Logarithmic Mean Temperature Difference. This is the standard and correct expansion for LMTD.
  • Option 3: Likely Meniscus Temperature Difference. This is not a recognized term in heat transfer or related fields.
  • Option 4: Limited Maximum Temperature Difference. This is also not the correct expansion for LMTD.

LMTD stands for Logarithmic Mean Temperature Difference. It is a term used to calculate the average temperature difference between the hot and cold fluids in a heat exchanger. This average temperature difference is crucial for calculating the total heat transfer rate in the heat exchanger using the formula:

$\dot{Q} = U A (\text{LMTD})$

where:

  • $\dot{Q}$ is the heat transfer rate
  • $U$ is the overall heat transfer coefficient
  • $A$ is the heat transfer surface area
  • LMTD is the Logarithmic Mean Temperature Difference

Therefore, the correct expansion of LMTD is Logarithmic Mean Temperature Difference.

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Important Questions from Heat Exchanger Analysis

  1. The fin effectiveness can be enhanced by selecting _____ value of heat transfer co-efficient.

  2. NTU, which is a measure of effectiveness of heat exchanger, stands for _________.

  3. Water (Cp = 4.18 kJ/kg.K) at 80°C enters a counter flow heat exchanger with a mass flow rate of 0.5 kg/s. Air (Cp = 1 kJ/kg.K) enters at 30°C with a mass flow rate of 2.09 kg/s. If the effectiveness of the heat exchanger is 0.8, the LMTD (in °C) is

  4. For a heat exchanger, ΔTmax is the maximum temperature difference and ΔTmin is the minimum temperature difference between the two fluids. LMTD is the log mean temperature difference. Cmin and Cmax are the minimum and the maximum heat capacity rates. The maximum possible heat transfer (Qmax) between the two fluids is

  5. A balanced counter flow heat exchanger has a surface area of 20 m2 and overall heat transfer coefficient of 20 W/m2–K. Air (CP = 1000 J/kg - K) entering at 0.4 kg/s and 280 K is to be preheated by the air leaving the system at 0.4 kg/s and 300 K. The outlet temperature (in K) of the heated air is ___

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