GATE AG 2018 • Q27 MCQ • 1 Mark

Section 7: Dairy and Food Engineering

Heat and Mass Transfer

Subtopic: Steady state heat transfer in conduction, convection and radiation

Question Statement:

Log mean temperature difference (LMTD) correction factor (F) is applicable to

Options:

  • (A) Spiral tube heat exchanger
  • (B) Steam jacketed kettle
  • (C) Plate heat exchanger
  • (D) Evaporator tubes

Official Answer Key:

C

Step-by-Step Solution & Explanation

The LMTD correction factor F corrects the true counter-current LMTD for exchangers in which the flow is not purely co-current or counter-current — i.e. multi-pass and cross-flow arrangements. A plate heat exchanger has multi-pass/cross-flow arrangements, so F < 1 must be applied. A steam-jacketed kettle and evaporator tubes operate with one isothermal (condensing/boiling) fluid, for which F = 1 by definition; a spiral tube exchanger is essentially pure counter-current, again F = 1.

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