Question

Bernoulli's equation is applicable between any two points in which type of flow of an incompressible fluid

• A. Unsteady, rotational
• B. Steady, rotational
• C. Unsteady, irrotational
• D. Steady, irrotational

Hint:

Bernoulli's equation between any two points requires steady, incompressible, inviscid, and irrotational flow.

Answer 1

The Correct Option is D

Bernoulli's equation is an energy equation for fluid flow. For an incompressible fluid, Bernoulli's equation is written as: \[ \frac{P}{\rho g}+\frac{v^2}{2g}+z=\text{constant}. \] This equation is applicable under certain assumptions. The flow should be steady. The fluid should be incompressible. The fluid should be inviscid or frictionless. For Bernoulli's equation to be applicable between any two points in the flow field, the flow must also be irrotational. If the flow is rotational, Bernoulli's equation can be applied only along the same streamline. Therefore, between any two points, the required flow is: \[ \text{Steady and irrotational}. \]