Question
Download Solution PDFWater is flowing through a circular pipe under pressure. If the total energy per unit weight of the water at a cross-section is 30 m and the piezometric head at that section is 29.4 m, then what will be the kinetic head at that section?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFExplanation:
Bernoulli's equation: It is based on the conservation of mechanical energy.
Assumptions:
- Steady flow
- Incompressible flow
- Non-viscous fluid
- Irrotational fluid
- Flow along streamline.
\(\frac{P}{\rho{g}}+\frac{V^2}{2g}+z=constant\)
Where,
\(\frac{P}{\rho{g}}\) = Pressure head.
\(\frac{V^2}{2g}\) = Velocity head.
\(z\) = Potential head.
Piezometric head = \(\frac{P}{\rho{g}}+z\)
P = pressure.
\(\rho\) = density of the fluid.
V = velocity of the fluid.
g = acceleration due to gravity.
Calculation:
Given:
Total head = 30 m,
Piezometric head = 29.4 m.
Total head = Piezometric head + Kinetic head
30 = 29.4 + Kinetic head
kinetic head = 0.6 m.
Thus, option (3) is the correct answer.
Last updated on Jul 1, 2025
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