Eulers equation of motion is a statement ofa)linear momentum conservation for the flow of an inviscid fluidb)mass conservationc)energy conservationd)linear momentum conservation for a real fluidCorrect answer is option 'A'. Can you explain this answer?

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Euler's equation of motion is a statement of

a)
linear momentum conservation for the flow of an inviscid fluid
b)
mass conservation
c)
energy conservation
d)
linear momentum conservation for a real fluid

Correct answer is option 'A'. Can you explain this answer?

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Eulers equation of motion is a statement ofa)linear momentum conservat...

Euler's equation of motion:

The Euler's equation for a 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 which states that if the external force is zero, linear momentum is conserved. 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:

The fluid is non-viscous (i,e.,inviscid fluid or the frictional losses are zero)
The fluid is homogeneous and incompressible (i.e., the mass density of the fluid is constant)
The flow is continuous, steady and along the streamline.
The velocity of the flow is uniform over the section.
No energy or force (except gravity and pressure forces) is involved in the flow.

As there is no external force applied (Non-viscous flow), therefore linear momentum will be conserved.

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Eulers equation of motion is a statement ofa)linear momentum conservation for the flow of an inviscid fluidb)mass conservationc)energy conservationd)linear momentum conservation for a real fluidCorrect answer is option 'A'. Can you explain this answer?

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