Question Bank • QB_DFE_HMT_007 MCQ • 1 Mark

Section 7: Dairy and Food Engineering

Heat and Mass Transfer

Subtopic: Transient heat transfer in simple geometry

Question Statement:

The Lumped Capacitance Method for transient cooling or heating analysis of food bodies is strictly valid when the Biot number satisfies:

Options:

  • (A) $Bi < 0.1$
  • (B) $Bi > 10.0$
  • (C) $0.1 \le Bi \le 1.0$
  • (D) $Bi = \infty$

Answer Key:

A

Step-by-Step Solution & Explanation

When $Bi = \frac{h L_c}{k} < 0.1$, conductive resistance within the food body is negligible compared to surface convective resistance, keeping internal temperature gradients below $5\%$ and justifying the uniform temperature assumption.
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