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Momentum equation - nptel - Indian Institute of Technology Madras

Momentum equation - nptel - Indian Institute of Technology Madras

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Hydraulics Pr<strong>of</strong>. B.S. Thandaveswara<br />

Sarma and Newnham 1975 introducing the momentum coefficient ( j 1.045 β = ) for the<br />

<strong>Indian</strong> <strong>Institute</strong> <strong>of</strong> <strong>Technology</strong> <strong>Madras</strong><br />

non uniform velocity distribution obtained the following modified momentum <strong>equation</strong><br />

y2 1 ⎡ ⎤<br />

=<br />

⎢<br />

1 + 10.4 F<br />

2<br />

−1<br />

y ⎣<br />

1 ⎥<br />

1 2<br />

⎦<br />

(28.3)<br />

In Eqn. 28.3, a value <strong>of</strong> β j was used by them based on the assumption <strong>of</strong> a similarity<br />

pr<strong>of</strong>ile for the velocity distribution. Eq. 28.3 gives a higher value for the sequent depth<br />

ratio, compared to the value computed from Eq.28.1. Their analysis was carried out<br />

upto a Froude number value <strong>of</strong> 4.

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