The equation of continuity of flow is applicable when the-
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A.
Flow is steady
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B.
All of the options
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C.
Flow is one dimensional
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D.
Velocity is uniform over the cross section
Correct Answer:
B. All of the options
Explanation:
The equation of continuity is a mathematical expression of the principle of conservation of mass in fluid dynamics. It is applicable under the following conditions: - Steady Flow: The fluid properties and velocity at any point do not change over time, meaning there is no mass accumulation within the system.
- One-Dimensional Flow: The flow parameters, such as velocity, are considered to vary primarily along the direction of flow, simplifying the analysis to a single dimension.
- Uniform Velocity: The velocity of the fluid is assumed to be constant across the entire cross-section of the conduit or pipe.Since all these conditions are fundamental assumptions for the standard application of the continuity equation (A1V1 = A2V2), the correct choice is all of the options.
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