Concept explainers
The flow velocity along the floor and location of the maximum speed in the flow field.
Answer to Problem 112P
The flow speed along the floor is
The location of the maximum velocity is
Explanation of Solution
Given information:
The velocity component along the x direction is
Write the expression for the velocity component along x direction.
Here, the distance of the attachment above the floor is
Write the expression for the velocity component along y direction.
The flow is assumed to be steady and incompressible.
Write the expression for the maximum speed along x direction.
Calculation:
Substitute
Therefore, the flow speed along the floor is
Substitute
Substitute
Substitute
Substitute
At the origin, the velocity components are zero thus, the vacuum cleaner is not good at the origin.
Conclusion:
The flow speed along the floor is
The location of the maximum velocity is
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Chapter 4 Solutions
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