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Hydraulics and Fluid Mechanics in ME

Hydraulics and Fluid Mechanics in ME
According to equation of continuity,

a1v1 = a2v2
a1/v1 = a2/v2
w1a1 = w2a2
w1v1 = w2v2

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Hydraulics and Fluid Mechanics in ME
The velocity distribution for laminar flow through a circular tube

None of these
is constant over the cross-section
varies linearly from zero at walls to maximum at centre
varies parabolically with maximum at the centre

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Hydraulics and Fluid Mechanics in ME
The specific speed (Ns) of a centrifugal pump is given by

(N√Q)/H
(N√Q)/H3/4
(N√Q)/H2/3
(N√Q)/H5/4

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Hydraulics and Fluid Mechanics in ME
According to fan laws, for the fans having constant wheel diameters, the power demand varies

Square of fan speed
Square root of fan speed
Cube of fan speed
Directly as fan speed

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Hydraulics and Fluid Mechanics in ME
Kinematic similarity is said to exist between the model and the prototype, if both of them

Have identical velocities
Are equal in size and shape
Are identical in shape, but differ only in size
Have identical forces

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Hydraulics and Fluid Mechanics in ME
The speed ratio in case of Francis turbine varies from

0.4 to 0.5
0.6 to 0.9
1 to 1.5
0.15 to 0.3

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