Numerical calculation of thermodynamic characteristics of the three-dimensional ascendant swirling gas flow

About the authors:

Alexandr G. Obukhov, Dr. Sci. (Phys.-Math), Professor, Department of Business Informatics and Mathematics, Industrial University of Tyumen; eLibrary AuthorID, agobukhov@inbox.ru

Liliya V. Abdubakova, Senior Lecturer, Department of Algebra and Mathematical Logic, Tyumen State University

Abstract:

The salvations of the complete system of Navier-Stokes equations using an explicit difference scheme in a rectangular parallelepiped are constructed numerically. These solutions describe the three-dimensional flows of the coercible viscous heatconducting gas in ascendant swirling flows under gravity and Coriolis with constant coefficients of viscosity and thermal conductivity. The initial conditions are the functions that are the exact analytical solution of the complete system of Navier-Stokes equations. It is proposed the specific boundary conditions under which an ascendant gas flow is simulated by blowing through a square hole in the upper surface of the computational domain. The calculation results of thermodynamic parameters of the ascendant swirling flow are given. It is shown that the density, temperature and gas pressure under such complex current change prominently at the initial stage. With an increasing calculation time, the thermodynamic parameters and the whole current are stabilizing gradually reaching a steady state.

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