Concept explainers
The percentage error caused by Boussinesq approximation.
Answer to Problem 50P
The percentage error caused by Boussinesq approximation is
Explanation of Solution
Given information:
The pressure of the air is
Write the expression for the Boussineq approximation for
Here, the density of fluid at
Write the expression for the Boussineq approximation for
Here, the density of fluid at
Write the expression for the pressure at
Here, the pressure is
Write the expression for the pressure at
Here, the actual density at
Write the expression the percentage error at
Write the expression the percentage error at
Calculation:
Convert the value of midway temperature in Kelvin.
Refer Boussinesq approximation data at
Substitute
Substitute
Substitute
Substitute
Substitute
Substitute
Conclusion:
The percentage error caused by Boussinesq approximation is
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