Question Bank • QB_DFE_EXP_090 NAT • 2 Marks

Section 7: Dairy and Food Engineering

Heat and Mass Transfer

Subtopic: Simultaneous heat and mass transfer in agricultural processing operations

Question Statement:

The Lewis number ($Le$) characterizes fluid flows where there is simultaneous heat and mass transfer. If the thermal diffusivity of air is $\alpha = 2.2 \times 10^{-5}\text{ m}^2/\text{s}$ and the mass diffusivity of water vapor in air is $D_{AB} = 2.2 \times 10^{-5}\text{ m}^2/\text{s}$, calculate the Lewis number ($Le = \alpha / D_{AB}$).

Answer Key:

1

Step-by-Step Solution & Explanation

$Le = \frac{\alpha}{D_{AB}} = \frac{2.2 \times 10^{-5}}{2.2 \times 10^{-5}} = 1.0$
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