General three-dimensional equilibrium for stationary inviscid fluids in the presence of a gravitational potential-Reference-Cited by-同舟云学术

General three-dimensional equilibrium for stationary inviscid fluids in the presence of a gravitational potential

Published:2023-01-11 Issue:3 Volume:78 Page:219-232
ISSN:0932-0784
Container-title:Zeitschrift für Naturforschung A
language:en
Short-container-title:

Author:

Hussain Eman T.¹,Ibrahim Doaa A.¹,El-Kalaawy Omar H.¹,Moawad Salah M.¹

Affiliation:

1. Department of Mathematics, Faculty of Science , Beni-Suef University , Beni-Suef , Egypt

Abstract

Abstract In this paper, we study the properties of the general three-dimensional equilibrium solutions for steady-state equations of inviscid fluids. Incompressible, homogeneous, inhomogeneous and compressible flows motion in a gravitational potential are considered. General three-dimensional formulas for the gas pressure and the gravitational potential are obtained. For incompressible flows, the vector and scalar potentials of the velocity field are used to derive general formulas for general three-dimensional solutions. To verify our results, some examples are presented. For compressible flows, a class of three-dimensional solutions is constructed.

Publisher

Walter de Gruyter GmbH

Subject

Physical and Theoretical Chemistry,General Physics and Astronomy,Mathematical Physics

Link

https://www.degruyter.com/document/doi/10.1515/zna-2022-0242/pdf

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