Question Bank • QB_SUB_DFE_MSD_002 MCQ • 1 Mark

Section 7: Dairy and Food Engineering

Mass Transfer, Fick's Law & Convective Diffusion

Subtopic: Chilton-Colburn j-factor mass-heat analogy

Question Statement:

The Chilton-Colburn analogy relates heat and mass transfer via the $j$-factors as:

Options:

  • (A) $j_H = j_D = \frac{f}{2}$
  • (B) $j_H = 2 j_D$
  • (C) $j_H = j_D = Re$
  • (D) $j_D = \frac{1}{Nu}$

Answer Key:

A

Step-by-Step Solution & Explanation

Chilton-Colburn analogy: $j_H = St_H Pr^{2/3} = j_D = St_m Sc^{2/3} = \frac{f}{2}$, valid for turbulent pipe and flat plate boundary layers.
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