
The stream velocity.

Answer to Problem 7.21P
Stream velocity
Explanation of Solution
Given information:
The readings of y in mm and h in mm as mention in question.
For air at
Density of air
Density of oil
Dynamic viscosity
Assumption flow is a laminar flow.
Calculation:
We can see in the table that manometer head is not changing after
So, we will consider manometer head
We know that:
The stream velocity
Put the required value in this equation:
We get
The boundary layer thickness.

Answer to Problem 7.21P
The boundary layer thickness
Explanation of Solution
Given information:
The readings of y in mm and h in mm as mention in question.
For air at
Density of air
Density of oil
Dynamic viscosity
Assumption flow is a laminar flow.
Calculation:
We can see in the table that manometer head is not changing after
So, we will consider manometer head
We know that,
The stream velocity
Put the required value in this equation,
We get
As in above discussion boundary layer ends at
Then this value is equal to boundary layer thickness.
The wall shear stress.
The wall shear stress
Given information:
The readings of y in mm and h in mm as mention in question.
For air at
Density of air
Density of oil
Dynamic viscosity
Assumption flow is a laminar flow.
Calculation:
We can see in the table that manometer head is not changing after
So, we will consider manometer head
We know that,
The stream velocity
Put the required value in this equation,
We get
As in above discussion boundary layer ends at
Then this value is equal to boundary layer thickness.
We know that:
The wall shear stress
We can write
where
Put required values in equation 1
The total friction drag.
The total friction drag
Given information:
The readings of y in mm and h in mm as mentioned in the question.
For air at
Density of air
Density of oil
Dynamic viscosity
Assumption flow is a laminar flow.
Calculation:
We can see in the table that manometer head is not changing after
So, we will consider manometer head
We know that,
The stream velocity
Put the required value in this equation:
We get
As in above discussion boundary layer ends at
Then this value is equal to boundary layer thickness.
We know that:
The wall shear stress
We can write
where
Put required values in equation 1:
We know that the friction drag at wall is twice of shear stress
We will use the value of x estimated in question 7.20
Now
Put all required values:
We get

Answer to Problem 7.21P
The wall shear stress
Explanation of Solution
Given information:
The readings of y in mm and h in mm as mention in question.
For air at
Density of air
Density of oil
Dynamic viscosity
Assumption flow is a laminar flow.
Calculation:
We can see in the table that manometer head is not changing after
So, we will consider manometer head
We know that,
The stream velocity
Put the required value in this equation,
We get
As in above discussion boundary layer ends at
Then this value is equal to boundary layer thickness.
We know that:
The wall shear stress
We can write
where
Put required values in equation 1
The total friction drag.

Answer to Problem 7.21P
The total friction drag
Explanation of Solution
Given information:
The readings of y in mm and h in mm as mentioned in the question.
For air at
Density of air
Density of oil
Dynamic viscosity
Assumption flow is a laminar flow.
Calculation:
We can see in the table that manometer head is not changing after
So, we will consider manometer head
We know that,
The stream velocity
Put the required value in this equation:
We get
As in above discussion boundary layer ends at
Then this value is equal to boundary layer thickness.
We know that:
The wall shear stress
We can write
where
Put required values in equation 1:
We know that the friction drag at wall is twice of shear stress
We will use the value of x estimated in question 7.20
Now
Put all required values:
We get
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Chapter 7 Solutions
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