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In the limit of vanishing viscosity and heat conduction, the equations of compressible
ideal gas flow, introduced in Section 1.15, can be written
is the flow velocity, and
the potential energy per unit mass.
It is clear from Equations (14.25) and (14.32) that the specific entropy is constant along a streamline, but not necessarily the
same constant on different streamlines.
Such flow is said to be isentropic. From Equation (14.29), isentropic flow is characterized by
along a streamline.
More generally, isentropic flow is characterized by
constant along streamlines.