A liquid of density ρ and bulk modulus K flows with a mean veloc
A. <span class="math-tex">\(\frac{{V\sqrt \rho }}{{g\sqrt K }}\)</span>
B. <span class="math-tex">\(\frac{{V\sqrt g }}{{\rho \sqrt K }}\)</span>
C. <span class="math-tex">\(\frac{{V\sqrt K }}{{g\sqrt \rho}}\)</span>
D. <span class="math-tex">\(\frac{{V\;\rho }}{{\sqrt {gK} }}\)</span>
Please scroll down to see the correct answer and solution guide.
Right Answer is: C
SOLUTION
Water Hammer:
When the water flowing in a long pipe is suddenly brought to rest by closing the valve or by any similar cause, there will be a sudden rise in pressure due to the momentum of the moving water being destroyed. This causes a wave of high pressure to be transmitted along the pipe which creates noise known as knocking. This phenomenon of the sudden rise in pressure in the pipe is known as water hammer or hammer blow. Water hammer is developed in a Penstock
Pressure head rise due to water hammer for rigid pipe,
\(\frac{P}{\rho g}=\frac{VC}{g}\)
Where, \(C=\sqrt{\frac{k}{\rho }}\)
∴ Pressure head = \(\frac{{V\sqrt K }}{{g\sqrt \rho}}\)
