Question

derive the equation of continuity of steady flow of incompressible fluid​

Answer 1

Answer:

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Explanation:

Let 'ρ1' and 'ρ2' be the densities of liquid at ends A and B respectively. If there is no source or sink of liquid, then mass of liquid that enters at end A in one second is equal to the mass of liquid that leave in one second. ρ1 = ρ2. Equation (2) is called the equation of continuity

Answer 2

Answer:

for an incompressible flow density is a constant

so the mass flux at the lower end of the pipe is equal to the mass flux at the upper end of the pipe i.e.in equation 1:the mass flux has to be calculated at the lower end.

in equation 2: similarly the mass flux at the upper end will be: ∆m1/∆t=p2A2v2

in equation 3:here v2is the velocity of the fluid through the upper end of the pipe.