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in Physics by (69.2k points)

Anon-viscous liquid of constant density 1000 kg/m3 flows in a streamline motion along a tube of variable cross-section. The tube is kept inclined in the vertical plane as shown in the figure. The area of cross section of the tube at the points P and Q at heights of 2 metre and 5 metre are respectively 4 × 10–3 m2 and 8 × 10–3 m2 . The velocity of the liquid at point Pis 1 m/s.

Find the work done per unit volume by the pressure and the gravity forces as the fluid flows from point P to Q. Take g = 9.8 m/s2 .

1 Answer

+1 vote
by (69.7k points)
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Best answer

From continutiy equation, we have

Applying Bernoulli’s equation at section 1 and 2,

(i) Work done for unit volume by the pressure as the fluid flows from P to Q

(ii) Wor done per unit volume by the gravity as fluid flows from P to Q.

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