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Mathematical modeling of viscous heat-conducting gas between the fixed and movable horizontal wal

Gabdulkhaev Vadim F.  ()

In the book [1], a method of solving the complete Navier-Stokes equations using trigonometric series. The solution presented in the form when added to the specified background trigonometric series in the spatial variables with unknown coefficients depending on time. To these factors we obtain an infinite system of ordinary differential equations. With the help of identical transformations, the system is reduced to the form, which requires significantly fewer arithmetic operations in the calculation of the right sides of the system of ordinary differential equations compared to the original presentation. In this paper as a background to take one course of an exact solution of the full Navier-Stokes equations describing the motion of the gas between the two horizontal walls, one of which moves, and the other is stationary.

Keywords:The complete system of Navier-Stokes equations, complex gas flow, nonlinear partial differential equations
 

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Citation link:
Gabdulkhaev V. F. Mathematical modeling of viscous heat-conducting gas between the fixed and movable horizontal wal // Современная наука: актуальные проблемы теории и практики. Серия: Естественные и Технические Науки. -2015. -№12. -С. 44-52
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