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Article information
2013 , Volume 18, ¹ 2, p.33-45
Zamyslov V.E.
Standing waves as a solution of the complete Navier - Stokes equations in the one-dimensional case
We consider a complete set of solutions of the Navier - Stokes equations, which describe a one-dimensional flow of a viscous compressible heat-conducting gas with constant viscosity and thermal conductivity coefficients. Pressure and specific volume are selected as independent thermodynamic variables, through which the system of partial differential equations was written in the normal form with respect to time derivatives. Solutions are constructed as infinite series of harmonics in the spatial variable with time-dependent coefficients. It is shown that under conditions of thermal insulation and adhesiveness at the ends of a spatial segment, solutions of the system is a sum of standing waves with multiple frequencies.
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Keywords: standing waves, a complete system of Navier - Stokes equations, one-dimensional flows
Author(s):
Zamyslov VladimirE.
PhD. , Associate Professor
Position: Associate Professor
Office: The Ural State University of Railways
Address: 620034, Russia, Ekaterinburg, ul. Kolmogorov, 66
Phone Office: (343) 221 24 04
E-mail: VZamislov@usurt.ru
Bibliography link:
Zamyslov V.E. Standing waves as a solution of the complete Navier - Stokes equations in the one-dimensional case // Computational technologies. 2013. V. 18. ¹ 2. P. 33-45
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