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An important extensive property of all systems in thermodynamics, statistical mechanics, and information theory, quantifying their disorder (randomness), i.e., our lack of information about them. It characterizes the degree to which the energy of the system is *not* available to do useful work.
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Question about Isentropic flow
Then Chorin recalls the following two facts from thermodynamics
$$
dw = Tds + \frac{1}{\rho}dp
$$
and
$$
de = Tds + \frac{p}{\rho^2}d\rho
$$
where $e$ is the internal energy, $s$ entropy and $T$ temperature …