PISTON PROBLEM SOLUTION FOR MIXTURE OF ISOTHERMIC GASES AND INCOMPRESSIBLE PARTICLES WITH REGARD TO VELOCITY NONEQUILIBRIUM OF COMPONENTS

O. V. Buryakov, V. F. Kuropatenko
VANT. Ser. Metodiki i Programmy Chislennogo Resheniya Zadach Matematicheskoy Fiziki 1986. Вып.1. С. 27-32.

      Assuming that forces of interactions of components due to their velocities differences are absent an acurate solution of the problem of piston movement in mixture of isothermic gas with incompressible particles is derived.
      For a shock wave the solution is of the form of two sharp discontinuities moving with different velocities. Patial density and velocity of gas experience a jump only at the first sharp discotinuity. Behing the first sharp discontinuity the mixture is enriched with gas and behind the second one, at the piston, with particle matter.
      For a rarefaction wave three flow modes are possible: with full component separation in the rarefac tion wave of gas; with full component separation in region of constant gas flow at the piston; and with partial component separation and region of constant mixture flow at the piston, where mixture is enriched with gas.