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Kinetic Energy

(Book: 5.10)

We get the equation for kinetic energy by multiplying the momentum equation,

by vi and summing over i:
(16)

Converted back to conservation form:
(17)

Converted back to integral form:
(18)

In words, the kinetic energy changes due to work done by gravity and the work done by stress-induced forces on the fluid.

The kinetic energy equation is not a new, additional, equation, but a consequence of momentum.


Next: Thermodynamics Up: Laws Previous: PDE conversion
01/31/00 0:23:26
01/31/00 0:44:24