Concept explainers
Air is flowing through a venturi meter whose diameter is 2.6 in at the entrance part (location 1) and 1.8 in at the throat (location 2). The gage pressure is measured 239 to be 12.2 psia at the entrance and 11.8 psia at the throat. Neglecting frictional effects, show that the volume how rate can be expressed as
The volume flow rate.
The flow rate of the air.
Answer to Problem 57EP
The volume flow rate can be expressed as
The flow rate of the air is
Explanation of Solution
Given information:
The inlet diameter of the venturimeter is
The figure below shows the different points of venturimeter.
Figure-(1)
Write the expression for Bernoulli's equation between the points
Here, the pressure at point
The point
Substitute
Write the expression for continuity equation at point
Here, the flow rate is
Write the expression for continuity equation at point
Here, the flow rate is
Write the expression for area of the inlet.
Here, the inlet diameter of the venturimeter is
Write the expression for area of the throat.
Here, the throat diameter of the venturimeter is
Calculation:
Substitute
Substitute
Substitute
Substitute
Conclusion:
The volume flow rate can be expressed as
The flow rate of the air is
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Chapter 5 Solutions
Fluid Mechanics: Fundamentals and Applications
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