Civil Engineering MCQJE Level Civil Engineering

For an incompressible fluid flowing through a pipe, the continuity equation states:

Fluid MechanicsFluid MechanicsEASY

Choose the correct answer

A

A1 + V1 = A2 + V2

B

A1V1 = A2V2 (volumetric flow rate constant)

C

V1/A1 = V2/A2

D

P1A1 = P2A2

Correct Answer

B. A1V1 = A2V2 (volumetric flow rate constant)

Why is this the answer?

Continuity: A1V1 = A2V2 (conservation of mass for incompressible flow). Where A = cross-sectional area, V = average velocity. If pipe narrows, velocity increases. For compressible flow: ρ1A1V1 = ρ2A2V2. This is the foundational flow equation.

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