Question

Consider the following statements:
Euler's equation of motion
1. can be derived from Navier-Stokes equations.
2. refers to energy balance
3.develops into Bernoulli's equation under appropriate conditions.
4. is applicable to rotational as well as irrotational flows.
Which of these statement are correct?

• A. 1, 2, 3, and 4
• B. 1 and 2 only
• C. 1 and 3 only
• D. 3 and 4 only

Answer 1

The correct option is C 1 and 3 only

(c)
The Euler's equation for steady flow of an ideal fluid along a streamline is a relation between the velocity, pressure and density of a moving fluid. It is based on the Newton's Second Law of Motion. The integration of the equation gives Bernoulli's equation in the form of energy per unit weight of the following fluid.
It is based on the following assumptions:
$\bullet$ (i.e., the friction losses are zero).
$\bullet$ The fluid homogeneous and incompressible
(i.e., mass density of the fluid is constant)
$\bullet$ The flow is continuous, steady and along the streamline.
$\bullet$ The velocity of the flow is uniform over the section.
$\bullet$ No energy of force (except gravity and pressure forces) is involved in the flow.