Question Bank • QB_DFE_EXP_071 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:

A flat stainless steel plate of thickness $5\text{ mm}$ ($0.005\text{ m}$) and thermal conductivity $k = 16\text{ W/(m}\cdot\text{K)}$ transfers heat under steady state. The temperatures on the two opposite faces are $85^\circ\text{C}$ and $75^\circ\text{C}$. Calculate the heat flux through the plate in $\text{kW/m}^2$.

Answer Key:

32

Step-by-Step Solution & Explanation

Fourier's law of heat conduction: $q'' = \frac{k \Delta T}{L} = \frac{16 \times (85 - 75)}{0.005} = \frac{160}{0.005} = 32000\text{ W/m}^2 = 32.0\text{ kW/m}^2$
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