GATE ME 2014 Set 3 — Question 58
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Heat Transfer → Heat Exchangers → LMTD Method
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Question
A double-pipe counter-flow heat exchanger transfers heat between two water streams. Tube side water at liter/s is heated from C to C. Shell side water at liter/s is entering at C. Assume constant properties of water; density is kg/m and specific heat is J/kg.K. The LMTD (in C) is _______
Correct answer
10.8 to 11.2
Solution
1.Energy Balance:
Heat gained by cold fluid (tube side) = Heat lost by hot fluid (shell side)Given L/s, kg/m kg/s.
W.
2.Find hot fluid outlet temperature ():
C.
3.Calculate LMTD for counter-flow:
CC
C.The value falls within the range of 10.8 to 11.2.
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