Sedov type solution of the equations of hydraulic longitudinal waves

Sedov type solution of the equations of hydraulic longitudinal waves Full article

Journal

International Journal of Non-Linear Mechanics
ISSN: 0020-7462

Output data

Year: 2021, Volume: 131, Article number : 103674, Pages count : 4

Tags

Hydroelastic waves, Longitudinal waves, Exact solutions. Hydrodynamics, Hemodynamics, Sedov type solution

Authors

Meleshko S.V. ¹ , Moyo S. ² , Sukhinin S.V. ³

Affiliations

1	Suranaree University of Technology, School of Mathematics, Nakhon Ratchasima 30000, Thailand
2	Durban University of Technology, Research, Innovation and Engagement & Institute for Systems Science
3	Lavrent’ev Institute of Hydrodynamics, SB RAS, Novosibirsk, 630090, Russia

The motion of a polytropic compressible fluid or gas in a non-uniform channel with elastic walls and a specified cross-section depending on a given point and the pressure is examined. The form of a cross-section is considered in this paper. Particular cases arising from the analysis that lead to an exact solution of the equations of the hydraulic longitudinal waves are given. For the case the general solution is obtained. In addition, we study the solutions with a linear profile of velocity for the case . An illustration of the behavior of the solution when the initial velocity is varied is given.

Meleshko S.V. , Moyo S. , Sukhinin S.V.
Sedov type solution of the equations of hydraulic longitudinal waves
International Journal of Non-Linear Mechanics. 2021. V.131. 103674 :1-4. РИНЦ OpenAlex

Submitted:	Dec 4, 2020
Accepted:	Jan 15, 2021
Published online:	Jan 19, 2021

Elibrary:	44978899
OpenAlex:	W3123412939

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