内部非平衡を伴う気体流中の十分に分散したきわめて弱い斜め衝撃波の構造

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The fully dispersed extremely weak oblique shock wave in two dimensional steady and adiabatic flow of a gas with a single relaxing internal degree of freedom is considered. It is assumed that the internal energy of a gas is characterized by two temperatures T (translational) and T_i (internal) in the form e=C_<vf>T+C_<vi>T_i, and that T_i is governed by a rate equation u∂T_i/∂x+v∂T_i/∂y=(T-T_i)/τ. Furthermore, the flow across the extremely weak oblique shock wave is assumed to be irrotational. By means of approximations appropriate, it is shown that a set of equations satisfied by u^<(1)> and v^<(1)> takes the following form [numerical formula] ∂v^<(1)>/∂x-∂u^<(1)>/∂y=0. where u^<(1)> and v^<(1)> are the first order expansion coefficients of the nondimensional velocity components u and v, respectively, and α is a obliquity parameter which is newly introduced in analysis. A solution of above partial differential equations is given for the extremely weak oblique shock wave.
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