Concept explainers
A circular thin plate is placed on the top of a tube. as shown in the figure. (a) Find the exit velocity from the gap. (b) Find the velocity and pressure distributions in the gap between plate and tube’s tip for d/2
(a)
The exit velocity from the gap.
Answer to Problem 114P
The exit velocity from the gap is
Explanation of Solution
Given information:
The diameter of tube is
Atmospheric pressure is
Write the expression for area of tube.
Here, diameter of tube is
Write the expression for area of exit.
Here, diameter of dic is
Write the expression for continuity equation of flow.
Here, density of air at tube entry is
Calculation:
Substitute
Substitute
Substitute
Conclusion:
The exit velocity from the gap is
(b)
The velocity distribution at distance
The pressure distribution at distance
Answer to Problem 114P
The velocity distribution at distance
The pressure distribution at distance
Explanation of Solution
Given information:
The diameter of tube is
Write the expression for area of exit.
Here, radius is
Write the expression for continuity equation of flow.
Here, density of air at tube entry is
Write the expression for Bernoulli equation.
Here, pressure at entry is
Calculation:
Substitute
Substitute
Substitute
Substitute
Conclusion:
The velocity distribution at distance
The pressure distribution at distance
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Chapter 5 Solutions
Fluid Mechanics: Fundamentals and Applications
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