Question

Bernoulli’s equation is applicable to:

• A. Compressible viscous flows
• B. All types of flow
• C. Incompressible and inviscid flow
• D. Steady turbulent flows

Hint:

Bernoulli’s equation simplifies fluid dynamics problems by relating the pressure, velocity, and elevation of an incompressible, inviscid fluid. It is a key tool in analyzing fluid flow in pipes and open channels.

Answer 1

The Correct Option is C

Bernoulli's equation is derived under the assumptions of steady, incompressible, and inviscid (non-viscous) flow. It applies to streamline flow where the fluid velocity is constant along the flow path, and there is no friction or heat transfer.
- Compressible viscous flows violate the assumptions of Bernoulli's equation because the fluid's density and viscosity are not constant.
- All types of flow is incorrect because Bernoulli's equation does not apply to all flows, especially those that are viscous or compressible.
- Incompressible and inviscid flow is correct because Bernoulli’s equation is specifically valid for this type of flow, where the fluid density and viscosity are constant.
- Steady turbulent flows are not a perfect match for Bernoulli's equation, which assumes laminar flow.
Thus, Bernoulli's equation is applicable to incompressible and inviscid flow.