Question:
For a hemispherical furnace with a flat circular base of diameter \(D\), the view factor from dome to its base is:
For a hemispherical furnace with a flat circular base of diameter \(D\), the view factor from dome to its base is:
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If one surface completely encloses another, view factor = 1.
Updated On: May 22, 2026
- 0.5
- 1
- 0
- 0.32
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The Correct Option is B
Solution and Explanation
Concept:
View factor (configuration factor) depends on geometry and satisfies reciprocity relation:
\[
A_1 F_{12} = A_2 F_{21}
\]
Also:
\[
\sum F = 1
\]
Step 1: Understand geometry.
A hemispherical dome fully encloses the flat base.
Step 2: Radiation behavior.
All radiation leaving dome must strike base since no other surface exists.
Step 3: Conclusion.
\[ F_{\text{dome→base}} = 1 \] Final Answer: \[ \boxed{1} \]
Step 1: Understand geometry.
A hemispherical dome fully encloses the flat base.
Step 2: Radiation behavior.
All radiation leaving dome must strike base since no other surface exists.
Step 3: Conclusion.
\[ F_{\text{dome→base}} = 1 \] Final Answer: \[ \boxed{1} \]
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