The equations for general steady motion of a perfect gas are expressed in terms of a reduced number of basic dependent variables. Neither constant entropy nor constant flow energy is assumed throughout the flow, but only along individual streamlines. The basic dependent variables used are the ``reduced velocity'' vector w≡v/(2γγ−1pρ+v2)12and the logarithm of the pressure, lnp. The resulting form of the dynamic equation is (w·grad)w+γ−12γ(1−w2) grad lnp=0,and that of the continuity equation is div[(1−w2)1/γ−1w]=0,representing four equations in four unknowns. The fundamental characteristic and shock relations are also expressed in terms of these reduced variables.
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