SOLVING PISTON MOTION PROBLEM IN A HETEROGENEOUS MIXTURE OF TWO ISOTHERMAL GASES WITH RESPECT TO "JOINED MASS" EFFECTS

O. V. Buryakov, V. K. Mustafin
VANT. Ser. Metodiki i Programmy Chislennogo Resheniya Zadach Matematicheskoy Fiziki 1988. Вып.2. С. 57-64.

      Assuming component pressures to be locally equivalent we derive an exact solution for a piston motion problem in a mixture of two isothermal gases taking into account the "joined mass" effects.
      The solution for a piston pulled into a heterogeneous mixture is a combination of large discontinuities moving with different velocities and each having jumps in velocity and partial densities for both components.
      A rarefaction wave propagates through the medium when the piston is pulled out from a heterogeneous material. It is found that three types of solution structure are possible depending on the piston velocity and force interaction rates.