Glycerin of density 1. 25 x 10 3 kg m -3 is flowing through the conical section of pipe. The area of cross-section of the pipe at its ends are 10 cm 2 and 5 cm 2 and pressure drop across its length is 3 N m -2 . The rate of flow of glycerine through the pipe is x x 10 -5 m 3 s -1 . The value of x is_____.
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(4)
It is given that
A 1 = 10 cm 2 ; A 2 = 5 cm 2
P = 3 N m -2
By continuity equation,
A l v l = A 2 v 2
...(i)
By Bernoulli's equation,
…(ii)
Using equation (i) in (ii)
So, the discharge rate is,
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