GATE ME 2022 Set 2 — Question 64
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Heat Transfer → Heat Exchangers → Effectiveness-NTU Method
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Question
Saturated vapor at condenses to saturated liquid at the rate of on the shell side of a heat exchanger (enthalpy of condensation ). A fluid with enters at on the tube side. If the effectiveness of the heat exchanger is , then the mass flow rate of the fluid in the tube side is ________ (in integer).
Correct answer
1000 to 1000
Solution
Given:
Mass flow rate of condensing vapor,
Enthalpy of condensation,
Specific heat of tube-side fluid,
Inlet temperature of hot fluid (condensing vapor),
Inlet temperature of cold fluid,
Effectiveness, Step 1: Calculate the actual heat transfer rate ().
Since the hot fluid is condensing, all the latent heat is released:
Step 2: Determine the maximum possible heat transfer rate ().
For a condenser, the heat capacity rate of the hot fluid . Thus, the minimum heat capacity rate is that of the cold fluid: .
Step 3: Use the effectiveness formula to find .
Mass flow rate of condensing vapor,
Enthalpy of condensation,
Specific heat of tube-side fluid,
Inlet temperature of hot fluid (condensing vapor),
Inlet temperature of cold fluid,
Effectiveness, Step 1: Calculate the actual heat transfer rate ().
Since the hot fluid is condensing, all the latent heat is released:
Step 2: Determine the maximum possible heat transfer rate ().
For a condenser, the heat capacity rate of the hot fluid . Thus, the minimum heat capacity rate is that of the cold fluid: .
Step 3: Use the effectiveness formula to find .
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