Question Bank • QB_DFE_EXP_013 NAT • 2 Marks

Section 7: Dairy and Food Engineering

Heat and Mass Transfer

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

Question Statement:

The thermal resistance of a composite flat wall consisting of two layers in series is the sum of their individual resistances ($R = \frac{L_1}{k_1 A} + \frac{L_2}{k_2 A}$). Layer 1 has $L_1 = 0.05\text{ m}, k_1 = 0.10\text{ W/(m}\cdot\text{K)}$. Layer 2 has $L_2 = 0.10\text{ m}, k_2 = 0.04\text{ W/(m}\cdot\text{K)}$. For a wall area $A = 1.0\text{ m}^2$, the total thermal conduction resistance in $\text{K/W}$ is ________ (answer in integer).

Answer Key:

3

Step-by-Step Solution & Explanation

1. Resistance of Layer 1: $R_1 = \frac{L_1}{k_1 A} = \frac{0.05}{0.10 \times 1.0} = 0.50\text{ K/W}$ 2. Resistance of Layer 2: $R_2 = \frac{L_2}{k_2 A} = \frac{0.10}{0.04 \times 1.0} = 2.50\text{ K/W}$ 3. Total resistance: $R_{total} = R_1 + R_2 = 0.50 + 2.50 = 3.0\text{ K/W}$
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