Question Bank • QB_DFE_HMT_003 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:

In the design of sanitary tubular heat exchangers for processing liquid dairy products, the overall heat transfer resistance $\frac{1}{U}$ accounts for fouling layers via the expression:

Options:

  • (A) $\frac{1}{U} = \frac{1}{h_i} + R_{f,i} + \frac{x_w}{k_w} + R_{f,o} + \frac{1}{h_o}$
  • (B) $U = h_i + R_{f,i} + k_w + R_{f,o} + h_o$
  • (C) $\frac{1}{U} = h_i \cdot R_{f,i} \cdot \frac{x_w}{k_w} \cdot R_{f,o} \cdot h_o$
  • (D) $U = \frac{1}{h_i + h_o}$

Answer Key:

A

Step-by-Step Solution & Explanation

Thermal resistances in series are additive: total resistance is the sum of inside convective film resistance ($1/h_i$), inside milk fouling fouling resistance ($R_{f,i}$), tube wall conduction resistance ($x_w/k_w$), outside fouling resistance ($R_{f,o}$), and outside convective resistance ($1/h_o$).
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