GENERALIZED DIFFERENTIAL RELATIONS ON A SHOCK
A. L. Adrianov
VANT. Ser.: Mat. Mod. Fiz. Proc 2009. Вып.4. С. 22-30.
The paper describes the derivation of generalized differential relations on a curvilinear shock in non-uniform flow of a viscous heat-conductive ideal gas. “Viscous” terms have been taken into account with approximation to a shear layer of asymptotical order O(1). The system of symbolic transformations on a computer was used during the relation derivation process. Ultimately, the derived relations are written in the matrix form with a small parameter in the highest derivatives and nonlinear terms. Coefficients are not given for these relations because of their awkwardness. In a limit non-viscous case, the generalized differential relations identically coincide with the known results. Keywords: curvilinear shock, viscous heat-conductive ideal gas, shear layer, schematic shock representation by strong gas-dynamic discontinuity, system of analytic symbolic transformations on computer, generalized differential relations (conditions) on curvilinear shock, asymptotic approach, small parameter, limiting non-viscous case, boundary effect, additional differential constraint, eddy interaction model, analytical solution.
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English
