Kinetic Energy

(Book: 5.10)

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

by v_i and summing over i:

Converted back to conservation form:

Converted back to integral form:

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.

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