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The minimum number of view factors that need to be known to solve a 10-surface enclosure completely, is
- a)1
- b)10
- c)22
- d)45
Correct answer is option 'D'. Can you explain this answer?
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The minimum number of view factors that need to be known to solve a 10...
For n-surface enclosure if nC2 view factors are known directly, entire enclosure can be solved. Thus for 10 surfaces, number of view factors that need to be evaluated directly will be
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The minimum number of view factors that need to be known to solve a 10...
For n-surface enclosure if nC2 view factors are known directly, entire enclosure can be solved. Thus for 10 surfaces, number of view factors that need to be evaluated directly will be
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The minimum number of view factors that need to be known to solve a 10...
To solve a 10-surface enclosure completely, we need to determine the view factors between each pair of surfaces. The view factor is a dimensionless factor that represents the fraction of radiation leaving one surface that is intercepted by another surface.
The number of view factors needed to solve an enclosure can be calculated using the formula:
N = n(n-1)/2
where N is the number of view factors and n is the number of surfaces.
In this case, we have 10 surfaces, so we can substitute n = 10 into the formula:
N = 10(10-1)/2
N = 10(9)/2
N = 90/2
N = 45
Therefore, the minimum number of view factors needed to solve a 10-surface enclosure completely is 45.
Explanation:
1. View factors represent the fraction of radiation leaving one surface that is intercepted by another surface.
2. To solve a 10-surface enclosure completely, we need to determine the view factors between each pair of surfaces.
3. The number of view factors needed can be calculated using the formula N = n(n-1)/2, where N is the number of view factors and n is the number of surfaces.
4. Substituting n = 10 into the formula, we find that the minimum number of view factors needed is 45.
5. This means that we need to determine the view factors for all possible pairs of surfaces in the 10-surface enclosure to solve it completely.
The number of view factors needed to solve an enclosure can be calculated using the formula:
N = n(n-1)/2
where N is the number of view factors and n is the number of surfaces.
In this case, we have 10 surfaces, so we can substitute n = 10 into the formula:
N = 10(10-1)/2
N = 10(9)/2
N = 90/2
N = 45
Therefore, the minimum number of view factors needed to solve a 10-surface enclosure completely is 45.
Explanation:
1. View factors represent the fraction of radiation leaving one surface that is intercepted by another surface.
2. To solve a 10-surface enclosure completely, we need to determine the view factors between each pair of surfaces.
3. The number of view factors needed can be calculated using the formula N = n(n-1)/2, where N is the number of view factors and n is the number of surfaces.
4. Substituting n = 10 into the formula, we find that the minimum number of view factors needed is 45.
5. This means that we need to determine the view factors for all possible pairs of surfaces in the 10-surface enclosure to solve it completely.
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