Question

A liquid of density $\rho$ and bulk modulus K flows with a mean velocity V in a long rigid pipe of diameter D. A sudden closure of a valve at the downstream end of the pipe will produce a maximum water hammer head of

• A. $\frac{V\sqrt{\rho }}{g\sqrt{K}}$
• B. $\frac{V\sqrt{g}}{\rho \sqrt{K}}$
• C. $\frac{V\sqrt{K}}{g\sqrt{\rho }}$
• D. $\frac{V\rho }{g\sqrt{K}}$

Answer 1

The correct option is C $\frac{V\sqrt{K}}{g\sqrt{\rho }}$

Pressure head rise due to water hammer for rigid pipe

$\frac{P}{\rho g}=\frac{VC}{g}whereC=\sqrt{\frac{k}{\rho }}$