Concept explainers
The expression for the variation of water height with respect to time.
Explanation of Solution
Given:
Height of the cone is H.
Base radius of the cone is R.
The cross section area of the hole is
The discharge coefficient is
Velocity of water is V.
Calculation:
From the law of conservation of mass,
The volume of water at any time is given by the relation,
The cross section of the cone is shown below.
From the diagram,
Substitute, Equation (III) in Equation (II).
Substitute Equation (IV) in Equation (I).
Integrating the above equation,
Substituting,
Rewrite Equation (V).
Thus, the relation for variation of water height with time is
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Chapter 14 Solutions
FUND. OF THERMAL-FLUID SCI (LL) W/ CONN
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