fluid continuity hard

Question

For incompressible steady flow, product A v is constant along streamline. This is conservation of:

RankGuru · Accepted Answer

The Continuity Equation for an incompressible fluid states:
$A_1 v_1 = A_2 v_2 = 	ext{constant}$
- $A v$ is the **volume flow rate** (volume of fluid passing per unit time).
- Since the fluid is incompressible (constant $ho$), preserving the volume flow rate is equivalent to preserving the **mass flow rate** ($ho Av$). 
- Therefore, the continuity equation is a statement of the **Conservation of Mass**: fluid mass entering a pipe section must equal the mass leaving it.

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fluid continuity hard

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