(a)
Interpretation:
The average velocity of the given liquid flowing in the pipe is to be calculated.
Concept Introduction:
The formula to calculate the average velocity of a stream which is flowing through a pipe of cross-sectional area S is:
Here, u is the local velocity of the stream in the differential cross-sectional area dS .
(a)
Answer to Problem 4.1P
The average velocity of the given liquid flowing in the pipe is
Explanation of Solution
Given information:
In a
The cross-sectional area of the pipe is defined as:
Here,
Here,
Use equation (2) and (3) in equation (1) and simplify further as
The table for
Now, plot the graph of
The area under this curve is defined as
Now, use this value to calculate the average velocity as:
(b)
Interpretation:
The correction factor for the kinetic energy of the given liquid flowing in the pipe is to be calculated.
Concept Introduction:
The formula to calculate the correction factor
Here, u is the local velocity of the stream in the differential cross-sectional area dS and
(b)
Answer to Problem 4.1P
The correction factor for the kinetic energy of the given liquid flowing in the pipe is
Explanation of Solution
Given information:
In a
The cross-sectional area of the pipe is defined as:
Here,
Here,
Use equation (2) and (3) in equation (4) and simplify further as:
Use the value of
The table for
Now, plot the graph of
The area under this curve is defined as
Now, use this value to calculate the correction factor
(c)
Interpretation:
The correction factor for the momentum of the given liquid flowing in the pipe is to be calculated.
Concept Introduction:
The formula to calculate the correction factor
Here, u is the local velocity of the stream in the differential cross-sectional area dS and
(c)
Answer to Problem 4.1P
The correction factor for the momentum of the given liquid flowing in the pipe is
Explanation of Solution
Given information:
In a
The cross-sectional area of the pipe is defined as:
Here,
Here,
Use equation (2) and (3) in equation (5) and simplify further as:
Use the value of
The table for
Now, plot the graph of
The area under this curve is defined as
Now, use this value to calculate the correction factor
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Chapter 4 Solutions
Unit Operations of Chemical Engineering
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