Question

For the Bernoulli's equation to be applicable in a fluid flow situation, which of the following conditions is/are to be satisfied:

• A. Fluid should be frictionless
• B. Fluid should be incompressible
• C. Flow should be steady
• D. Flow should be rotational

Hint:

When using Bernoulli's equation, ensure that the flow is steady, incompressible, and frictionless. These assumptions simplify the analysis and lead to accurate results.

Answer 1

The Correct Option is A, B, C

Bernoulli’s equation is a statement of the conservation of mechanical energy for flowing fluids. For Bernoulli’s equation to be applicable, the following conditions must be met:

• (A) Fluid should be frictionless: Bernoulli's equation assumes no energy loss due to friction, meaning the fluid must be ideal and frictionless. Thus, this statement is true.
• (B) Fluid should be incompressible: The equation assumes that the density of the fluid does not change as it flows, meaning the fluid is incompressible. Thus, this statement is true.
• (C) Flow should be steady: Steady flow means that the velocity of the fluid at a given point does not change over time. Bernoulli's equation applies only to steady flow. Thus, this statement is true.
• (D) Flow should be rotational: Bernoulli's equation applies only to irrotational flow, meaning the fluid should have no vorticity. Since this statement contradicts that condition, this statement is false.

Thus, the correct answers are (A), (B), and (C).