Are the isentropic relations of ideal gases applicable for flows across (a) normal shock waves, (b) oblique shock waves, and (c) Prandil- Meyer expansion waves?

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lelapem · Accepted Answer

They are not applicable for normal and oblique shock waves, but are applicable for Prandtl-Meyer expansion waves.

Cristofer Graves · Accepted Answer

(a) The flow across the normal shock wave is highly irreversible and the isentropic relations of ideal gases ca not be applicable for flows across normal shock waves.(b) The flow across the oblique shock wave is highly irreversible and the isentropic relations of ideal gases can not be applicable for flows across oblique shock waves.(c)The flow across Prandtl-Meyer expansion waves does not turn suddenly, as through a shock, but gradually-each successive Mach wave turns the flow by an infinitesimal amount. Since each individual expansion wave is nearly isentropic, the flow across the entire expansion fan is also nearly isentropic. Therefore, the isentropic relations of ideal gases can be applicable for flows across Prandtl-Meyer expansion waves.Result:(a) the isentropic relations can not be applicable for flow across normal shock waves;(b) the isentropic relations can not be applicable for flow across oblique shock waves;(c) the isentropic relations can be applicable for flow across Prandtl-Meyer expansion waves;

Are the isentropic relations of ideal gases applicable for flows across (a) normal shock waves, (b) oblique shock waves, and (c) Prandil- Meyer expansion waves?

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