A liquid is in streamlined flow through a tube of non- uniform cross - section.Prove that sum of its kinetic energy, pressure energy and potential energy per unit mass remains constant.
Consider an incompressible non â€“ viscous liquid entering the cross-section A1 at a height h1 at A with a velocity v1 and coming out at a height h2 at B with velocity v2.
The P.E. and K.E. increases since h2 and v2 are more than h1 and v1 respectively. This is done by the pressure doing work on the liquid. If P1 and P2 are the pressures at A and B, then for a small displacement at A and B,
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