Heating of a compressible liquid by a constant heat flux

G. V. Belyakov^a, A. A. Charakhch'yan<sup>b

a</sup> Institute of Geosphere Dynamics, Russian Academy of Sciences, Moscow, 0119334
^b Dorodnitsyn Computing Center, Russian Academy of Sciences, Moscow, 119991

Abstract: 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.

Keywords: unsteady flows, compressible liquid, heat wave, shock wave, friction.

UDC: 537.84

Received: 13.06.2002

 English version: Journal of Applied Mechanics and Technical Physics, 2003, 44:2, 243–248

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