The relation
Explanation of Solution
Introduction:
According to the Bernoulli’s principle, the pressure inside the fluid system inversely deals with the volume of the system. The Pressure is decreased with the increase in the volume of the fluid system and vice-versa. When there is a pressure difference across the body, it causes a push on the body from the region of high pressure to that of low pressure.
The Bernoulli’s equation is written as,
To prove:
Due to the conversion mass and incompressibility of fluid, the volumetric flow rate through each section is same. So, the volumetric flow rate becomes equals velocity time cross sectional area, such that
From the equation of continuity,
Now both sections in the venturi meter have the same average elevation which means that
Now use the value of velocity in the Bernoulli’s equation,
Conclusion:
Hence, the flow velocity expression is given by the relation
Chapter 10 Solutions
Physics: Principles with Applications
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