Concept explainers
(a)
An expression for heat loss in terms of other three parameters.
Answer to Problem 5.36P
Explanation of Solution
Given information:
Heat loss
The unit of
To find the relation between these variables,
Basically we have some steps to follow,
1. Find the number of variables
2. Find the dimensions of the given variables.
3. Find
4. In other words
5. Find the number of desired pi products
6. Finally write the dimensionless function obtained.
Calculation:
Write the function,
Count the number of variables
Find dimension of each variable,
Find
Find the number of pi products,
To obtain the equation,
Equate exponents,
Length:
Mass:
Time:
Temperature:
Therefore, we get
Therefore, the expression will be,
Conclusion:
The expression for rate of heat loss is given as,
(b)
What happens for rate of heat loss if the temperature difference doubles?
Answer to Problem 5.36P
Therefore, if temperature difference
Explanation of Solution
Given information:
Heat loss
The unit of
To find the relation between these variables,
Basically we have some steps to follow,
1. Find the number of variables
2. Find the dimensions of the given variables.
3. Find
4. In other words
5. Find the number of desired pi products
6. Finally write the dimensionless function obtained.
Calculation:
Write the function,
Count the number of variables
Find dimension of each variable,
Find
Find the number of pi products,
To obtain the equation,
Equate exponents,
Length:
Mass:
Time:
Temperature:
Therefore, we get
Therefore, the expression will be,
According to the above equation, we can say that,
Therefore, if temperature difference
Conclusion:
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Chapter 5 Solutions
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