Thermodynamics

(Book: 5.10, 12)

Substract the kinetic energy equation

from the energy equation

to eliminate the kinetic energy:

Also split the stress tensor T_ji into the thermodynamical pressure and the viscous stress, :

Using the continuity equation,

we can make the pressure term also fully thermodynamical:

Entropy fluxion equation:

Exercise:

Comment on the properties of reversible processes in fluid mechanics. Also comment on the sign of the viscous stress term.

The equations in this section are not additional equations, but can be used as alternatives to the energy equation.

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