Heat and mass transport in a near supercritical fluid

Abstract
The analytical solution of the equations describing the propagation of a temperature step at the boundary in a near supercritical van der Waals gas is obtained and discussed. The quantitative properties of the velocity and thermodynamic fields are given on a long‐time scale. Quantitative evidence of the speeding up of the heat transport compared to a purely diffusive process is given. The numerical solution obtained by means of the p i s o algorithm, which is performed and discussed confirms the validity of the obtained analytical solution.