# Bernoulli theorem for steady & ideal flow of an incompressible fluid - Fluid Mechanics

Q.  In a steady, ideal flow of an incompressible fluid, total energy at any point of the fluid is always constant. This theorem is known as
- Published on 04 Aug 15

a. Euler's theorem
b. Navier-stockes theorem
c. Reynold's theorem
d. Bernoulli's theorem

#### Discussion

• Pankaj   -Posted on 28 Sep 15
According to the Bernoulli's theorem, the total energy at any point of the fluid is always constant in a ideal and steady flow of an incompressible fluid.

∴ Total energy = constant

∴ Pressure energy + Kinetic energy + Potential energy = constant

(P / (ρ g)) + (V2 / 2g) + Z = constant

For application of Bernoulli's theorem, the fluid is assumed to be ideal, steady, incompressible and one-dimensional. The gravitational force and pressure force are only considered in Bernoulli's theorem.

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