Question

A pipe conveys water with velocity 360 m/min and pressure gauge shows 5 bar pressure under which the water is following. The pipe is located at 5 metre above the datum line. The sum of total head and stagnation head is______m. $g=10m/s^2$.(assume 1 bare = 10${}^5$ Pa)

• A. 108.6

Answer 1

The correct option is A 108.6
Given, $V=360m/min=\frac{360}{60}=6m/s$
$P=5bar=5\times {10}^{5}N/m^2$
Z = 5 m
Total head $=\frac{P}{\rho g}+\frac{V^2}{2g}+Z$

$=\frac{5\times {10}^5}{1000\times 10}+\frac{6^2}{2\times 10}+5$
= 50 + 1.8 + 5 = 56.8 m

Stagnation head $=\frac{P}{\rho g}+\frac{V^2}{2g}=50+1.8=51.8m$

$\therefore$ Sum of total head and stagnation head
$=56.8m+51.8m=108.6m$