Hydraulics and Fluid Mechanics in ME
Manometric head, in case of a centrifugal pump, is equal to

Suction lift + Loss of head in suction pipe due to friction + Delivery lift + Loss of head in delivery pipe due to friction + Velocity head in the delivery pipe
Work-done per kN of water Losses within the impeller
All of these
Energy per kN at outlet of impeller Energy per kN at inlet of impeller

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Hydraulics and Fluid Mechanics in ME
A compound pipe of diameter d1, d2 and d3 having lengths l1, l2 and l3 is to be replaced by an equivalent pipe of uniform diameter d and of the same length (l) as that of the compound pipe. The size of the equivalent pipe is given by

l/d³ = (l₁/d₁³) + (l₂/d₂³) + (l₃/d₃³)
l/d⁵ = (l₁/d₁⁵) + (l₂/d₂⁵) + (l₃/d₃⁵)
l/d² = (l₁/d₁²) + (l₂/d₂²) + (l₃/d₃²)
l/d⁴ = (l₁/d₁⁴) + (l₂/d₂⁴) + (l₃/d₃⁴)

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Hydraulics and Fluid Mechanics in ME
The discharge through a large rectangular orifice is given by (where H1 = Height of the liquid above the top of the orifice, H2 = Height of the liquid above the bottom of the orifice, b = Breadth of the orifice, and Cd = Coefficient of discharge)

Q = (2/3) Cd × b × √(2g) × (H23/2 - H13/2)
Q = (2/3) Cd × b × √(2g) × (H2 - H1)
Q = (2/3) Cd × b × √(2g) × (H21/2 - H11/2)
Q = (2/3) Cd × b × √(2g) × (H22 - H12)

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Hydraulics and Fluid Mechanics in ME
Buoyant force is

The force necessary to maintain equilibrium of a submerged body
The resultant force acting on a floating body
Equal to the volume of liquid displaced
The resultant force on a body due to the fluid surrounding it

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Hydraulics and Fluid Mechanics in ME
When an ideal fluid flows past a sphere

highest intensity of pressure occurs around the circumference at right angles to flow
total drag is zero
lowest pressure intensity occurs at front stagnation point
lowest pressure intensity occurs at rear stagnation point

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