On the Interphase Heat Transfer Effect on Nonlinear Wave Propagation in a Gas-Liquid Mixture

The effect of interphase heat transfer on shock wave propagation is investigated. A multiwave nonlinear equation which in the limiting case of the absence of heat transfer decomposes into two classic generalizations of the Boussinesq equations is derived. Quasi-isothermal and quasi-adiabatic propagation regimes for which the heat transfer is fairly intense are considered. For both regimes, nonlinear equations describing the wave propagation are obtained. The equation describing the first regime is investigated in detail. Exact analytic solutions of this equation are given and used to study the shock wave structures and the solitary wave behavior. Formulas for the dependence of the heat transfer rate on the equilibrium-mixture parameters are obtained.