(Book: 5.10)
We get the equation for kinetic energy by multiplying the momentum equation,
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(16) |
Converted back to conservation form:
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(17) |
Converted back to integral form:
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(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.