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A non-viscous liquid of constant density...

A non-viscous liquid of constant density `1000kg//m^3` flows in a streamline motion along a tube of variable cross section. The tube is kept inclined in the vertical plane as shown in Figure. The area of cross section of the tube two point P and Q at heights of 2 metres and 5 metres are respectively `4xx10^-3m^2` and `8xx10^-3m^2`. The velocity of the liquid at point P is `1m//s`. Find the work done per unit volume by the pressure and the gravity forces as the fluid flows from point P to Q.

Text Solution

Verified by Experts

The correct Answer is:
`+29625J//m^(3),-30000J//m^(3)`
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Knowledge Check

  • A non-viscous fluid of constant density of 1000kg//m^(3) flows in stream line motion along a tube of variable cross-section The area of cross-section at two P and Q at lengths 5m are 40 cm^(2) and 20 cm^(2) respectively. If velocity of fluid at P is 3 m//s then find velocity of fluid at Q.

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  • A non viscous liquid of constant density 10^(3) kg//m^(3) flows in stream line motion along a vertical tube PQ of variable cross-section. Height of P and Q are 2m and 2.5m respectively. Area of tube at Q is equal to 3 times the area of tube at 'P'. Then work done per unit volume by pressure as liquid flows from P and Q. Speed of liquid at 'P' is 3 m//s .

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