
(a)
The air flow rate in

Answer to Problem 6.92P
Explanation of Solution
Given information:
The room pressure is
The pressure drop is defined as,
In above equation,
The volumetric flow rate Q can be defined as below,
In above equation,
The hydraulic diameter is defined as,
Calculation:
First of all, to find the hydraulic diameter,
To find volumetric flow rate,
Assume,
To find the exact value of the velocity, further iterations needs to be done. For that we need to find the friction factor,
From the definitions,
Therefore the effective diameter will be equal to,
To find the Reynolds’s number,
To find the roughness ratio,
To find the friction factor,
Therefore, to find the exact value of the velocity,
To find the flow rate,
Conclusion:
The flow rate is equal to
(b)
The room pressure if the flow rate is
Given information:
Assume the flow rate as
The pressure drop is defined as,
In above equation,
The volumetric flow rate Q can be defined as below,
In above equation,
The hydraulic diameter is defined as,
Calculation:
Compute the mean velocity,
To find the Reynolds’s number,
To find the friction factor,
Therefore, according to the obtained results,
To find the room pressure,
Conclusion:
The room pressure is equal to
(b)
The room pressure if the flow rate is

Answer to Problem 6.92P
Explanation of Solution
Given information:
Assume the flow rate as
The pressure drop is defined as,
In above equation,
The volumetric flow rate Q can be defined as below,
In above equation,
The hydraulic diameter is defined as,
Calculation:
Compute the mean velocity,
To find the Reynolds’s number,
To find the friction factor,
Therefore, according to the obtained results,
To find the room pressure,
Conclusion:
The room pressure is equal to
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Chapter 6 Solutions
Fluid Mechanics
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