Question Bank • QB_EXP_DFE_RAD_003 MSQ • 2 Marks

Section 7: Dairy and Food Engineering

Radiation Heat Transfer & Emissivity

Subtopic: Reciprocity and summation rules of view factors

Question Statement:

Which of the following view factor (shape factor) relationships is/are mathematically TRUE for diffuse-gray radiation exchange?

Options:

  • (A) Reciprocity theorem: $A_i F_{ij} = A_j F_{ji}$
  • (B) Summation rule for an $N$-surface enclosure: $\sum_{j=1}^N F_{ij} = 1$
  • (C) For a strictly flat or convex surface $i$, the self-view factor is zero ($F_{ii} = 0$)
  • (D) View factor depends strongly on surface temperature and emissivity

Answer Key:

A, B, C

Step-by-Step Solution & Explanation

1. Reciprocity $A_i F_{ij} = A_j F_{ji}$ balances radiation geometry (A is true). 2. Enclosure summation conserves radiant energy: $\sum F_{ij} = 1$ (B is true). 3. Flat/convex planes cannot 'see' themselves, so $F_{ii} = 0$ (C is true). 4. View factor $F_{ij}$ is purely geometric, depending only on orientation and distance, completely independent of temperature and emissivity (D is false).
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