Numerical calculation of speed characteristics of swirled gas flow initiated by vertical blowing cold

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:

When using the explicit difference scheme in a rectangular parallelepiped, numerical solutions of the full Navier-Stokes equations are constructed. These solutions describe an unsteady three-dimensional flow of compressible viscous heat-conducting gas in a rising swirling flows under the action of gravity and Coriolis. Upward vertical swirling flow is initiated by blowing, which is modelled by specifying the vertical component of the velocity at the top opening of the computational domain. The dissipative properties of the gas as a continuous medium are taken into account through constant coefficients of viscosity and thermal conductivity. The initial conditions are a set of functions that are an exact solution of the full Navier-Stokes equations. We propose specific boundary conditions, describing the behavior of gas-dynamic parameters on the planes of the settlement of the box. The results of calculations of rising swirling stream speed characteristics are demonstrated. It has been shown that the components of the gas velocity in this complex undergo noticeable changes during the initial stage. By increasing the time of calculation, the speed parameters and all the flow gradually stabilize, reaching a steady state.

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