GATE ME 2014 Set 2 — Question 58
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Heat Transfer → Heat Exchangers → Effectiveness-NTU Method
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Question
In a concentric counter flow heat exchanger, water flows through the inner tube at and leaves at . The engine oil enters at and flows in the annular flow passage. The exit temperature of the engine oil is . Mass flow rate of water and the engine oil are and , respectively. The specific heat of water and oil are and , respectively. The effectiveness of this heat exchanger is _______
Correct answer
0.65 to 0.67
Solution
Step-by-step solution:
(which is the hot fluid, )
(Alternatively, using cold fluid: . The slight difference is due to rounding or data precision; we use the hot fluid calculation as it involves directly.)
1.Calculate heat capacity rates ():
- Cold fluid (water):
- Hot fluid (oil):
(which is the hot fluid, )
3.Calculate actual heat transfer rate ():
(Alternatively, using cold fluid: . The slight difference is due to rounding or data precision; we use the hot fluid calculation as it involves directly.)
4.Calculate maximum possible heat transfer rate ():
5.Calculate effectiveness ():
The effectiveness of the heat exchanger is approximately .Continue learning with Success Tracker
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