Heating of a compressible liquid by a constant heat flux

Several variants of the problem of heating a compressible liquid by a time-independent heat flux are numerically studied. It is shown that, after a certain time, the pressure everywhere behind the shock wave differs only little from some constant value. Approximate analytical formulas are obtained, which demonstrate independence of pressure of thermal conductivity and some other features of the relation between the pressure and the heat-flux intensity. Several examples are given, which confirm the adequacy of formulas to numerical solutions of the problem.