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The equation of continuity of flow is applicable when the-
Question

The equation of continuity of flow is applicable when the-

A.

Flow is steady

B.

All of the options

C.

Flow is one dimensional

D.

Velocity is uniform over the cross section

Correct option is B



The equation of continuity is derived based on the principle of conservation of mass, which states that the mass flow rate remains constant in a steady, incompressible flow. For the equation to hold true, certain conditions must be met:
Steady Flow:
The flow must be steady, meaning the fluid properties (e.g., velocity, pressure, density) do not change with time at any given point.
One-Dimensional Flow:
The flow is considered one-dimensional when velocity and other fluid properties are only functions of a single spatial variable and vary along the flow direction.
Uniform Velocity Over Cross-Section:
The velocity is assumed to be uniform over the cross-sectional area of the flow for accurate application of the equation.

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