Thursday, February 26, 2009

Bernoulli’s equation

Bernoulli’s equation states that in a steady, irrotational flow of an incompressible fluid, the total energy per unit weight of the fluid remains constant.

p/w + V2/2g + Z = constant

Assumptions involved in Bernoulli’s equation:

1. The fluid is ideal
2. The flow is steady
3. The flow is irrotational
4. The flow is incompressible

Why is it necessary to assume that the flow is steady before integrating Euler’s equation to derive Bernoulli’s equation?

In steady flow, a fluid particle will move along a streamline. Thus, in describing the motion of a fluid particle, the distance along a streamline can be used in writing the equations of motion.

2 comments:

  1. Please define the symbols used in Bernoulli's equation and wherever else that they are not defined. Also please state the appropriate units. Thank you.

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