Question

Which assumptions of the Bernoulli equation prevent its use for unsteady state systems?

1) Steady flow
2) Incompressible flow
3) No energy losses
4) No heat transfer

Answer 1

Bernoulli's equation describes the conservation of three forms of energy in a fluid: kinetic, potential, and pressure energy, which are conserved in incompressible and frictionless flow conditions.

Step-by-step explanation:

Based on Bernoulli's equation, there are three forms of energy in a fluid that are conserved in the context of the equation's assumptions. These forms of energy are:

1. Kinetic energy per unit volume (due to the fluid's velocity),
2. Potential energy per unit volume (due to the fluid's elevation in a gravitational field), and
3. Pressure energy per unit volume (associated with the fluid pressure).

These energies are conserved in an ideal fluid system according to Bernoulli's principle, which describes incompressible and frictionless flow. However, in reality, factors such as viscous dissipation, thermal energy changes, or unsteady state conditions can result in energy losses and deviations from the idealized behavior represented by Bernoulli's equation.