Which of the following is assumption of Bernoulli's equation?

I. The fluid is ideal

II. The flow is unsteady

III. The flow is incompressible 

Explanation:

Bernoulli's Equation: Bernoulli's equation is a principle of fluid dynamics that describes the behavior of a fluid moving along a streamline. It states that the total mechanical energy of the fluid remains constant if the fluid flow is ideal. The equation is given as:

\(\frac{P}{\rho g} + \frac{{{v^2}}}{{2g}} + Z = Constant\)

Where:

• P is the pressure energy per unit volume
• ρ is the density of the fluid
• v is the fluid velocity
• g is the acceleration due to gravity
• h is the height above a reference level

The assumptions of Bernoulli's equation include:

• The fluid is ideal (I): The fluid is considered to be ideal, meaning it is inviscid (no viscosity) and has no internal friction.
• The flow is incompressible (III): The density of the fluid remains constant throughout the flow.
• The flow is steady: The flow parameters (velocity, pressure, etc.) do not change with time at any point in the fluid.
• The flow is along a streamline: Bernoulli's equation applies to fluid particles moving along a streamline.
• There is no energy loss: No energy is lost due to friction, turbulence, or other dissipative effects.
• The flow is irrotational: There are no vortices or rotational effects in the fluid flow.