Abstract:
The paper presents approaches to constructing thermodynamic relationships for a mixture
of non-interacting substances without resorting to labor-intensive molecular modeling. The
main practically applicable approximations are the requirements of thermodynamic equilibrium ($pT$-approximation) and mechanical equilibrium ($p$-approximation). It is assumed
that the motion of the components is described by a single velocity. For these approximations, the corresponding systems of nonlinear equations are presented, as well as approaches to their solution.
Using the example of Riemann problem solution at the contact boundary of two substances
with significantly different properties, it is demonstrated that the requirement for temperature equilibrium of the components is not always justified and can lead to incorrect results.
Keywords:multi-component flows, mixed cells, equation of state.
Fulltext:
PDF file (335 kB)
First page:
PDF file