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The number of view factors that need to be evaluated directly for a 10 -surface enclosure is (a) 1 (b) 10 (c) 22 (d) 34 (e) 45

Short Answer

Expert verified
Answer: (e) 45

Step by step solution

01

Identify the number of surfaces

In the given exercise, we have a 10-surface enclosure. So, the number of surfaces, n = 10.
02

Calculate the number of view factors

Now that we know the number of surfaces, we can use the formula to calculate the number of view factors. Number of view factors = n * (n - 1) Plugging in the value, we get: Number of view factors = 10 * (10 - 1)
03

Solve for the number of view factors

Now, we can perform the calculations: Number of view factors = 10 * 9 Number of view factors = 90 However, as every surface has a reciprocal view factor, there will be duplicates and we only need to evaluate half of the view factors, so we divide 90 by 2. Number of view factors = 45
04

Identify the correct answer

From the given choices, we can see that the number of view factors that need to be evaluated directly for a 10-surface enclosure is: (e) 45

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