Abstract
In this work, the symmetry method was first applied to the study of the problem of free convection of van der Waals gas with physical properties that differ from an ideal gas under steady-state conditions. Using the previously obtained simplified form of the equation of state for a van der Waals gas, the nature of the influence of its parameters on the process of convective heat transfer is studied in comparison with the case of using the equation of state for an ideal gas. While solving the problem, it was revealed that nonlinear parameters in the equation of state for van der Waals gas can intensify or worsen the heat transfer process. This feature is associated with the influence of the parameters of the van der Waals gas equation of state on the flow in the boundary layer. The data obtained based on the transport equations in a self-similar form are compared with the results of the previously obtained analytical solution. It is shown that the trends of the influence of the parameters of the simplified equation of state for a van der Waals gas on the Nusselt number agree well with the analytical studies.
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