Numerical Approach of a Water Flow in an Unsaturated Porous Medium by Coupling Between the Navier–Stokes and Darcy–Forchheimer Equations

In the present research, simulations have been conducted to determine numerically the dynamic behaviour of the flow of underground water fed by a river. The basic equations governing the problem studied are those of Navier–Stokes equations of conservation of momentum (flows between pores), coupled b...

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Main Authors:	Hami K., Zeroual I.
Format:	Article
Language:	English
Published:	Sciendo 2017-12-01
Series:	Latvian Journal of Physics and Technical Sciences
Subjects:	darcy–forchheimer equations groundwater flow hydrodynamic modelling porous medium
Online Access:	https://doi.org/10.1515/lpts-2017-0041

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spelling	doaj-2189850ee90e41f7a08bda49c0e1a42d2021-09-06T19:20:06ZengSciendoLatvian Journal of Physics and Technical Sciences0868-82572017-12-01546546410.1515/lpts-2017-0041lpts-2017-0041Numerical Approach of a Water Flow in an Unsaturated Porous Medium by Coupling Between the Navier–Stokes and Darcy–Forchheimer EquationsHami K.0Zeroual I.1Institute of Science and Technology, University Center of Tindouf, Tindouf, 37000, AlgeriaInstitute of Science and Technology, University Center of Tindouf, Tindouf, 37000, AlgeriaIn the present research, simulations have been conducted to determine numerically the dynamic behaviour of the flow of underground water fed by a river. The basic equations governing the problem studied are those of Navier–Stokes equations of conservation of momentum (flows between pores), coupled by the Darcy–Forchheimer equations (flows within these pores). To understand the phenomena involved, we first study the impact of flow rate on the pressure and the filtration velocity in the underground medium, the second part is devoted to the calculation of the elevation effect of the river water on the flow behaviour in the saturated and unsaturated zone of the aquifer.https://doi.org/10.1515/lpts-2017-0041darcy–forchheimer equationsgroundwater flowhydrodynamic modellingporous medium
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Hami K. Zeroual I.
spellingShingle	Hami K. Zeroual I. Numerical Approach of a Water Flow in an Unsaturated Porous Medium by Coupling Between the Navier–Stokes and Darcy–Forchheimer Equations Latvian Journal of Physics and Technical Sciences darcy–forchheimer equations groundwater flow hydrodynamic modelling porous medium
author_facet	Hami K. Zeroual I.
author_sort	Hami K.
title	Numerical Approach of a Water Flow in an Unsaturated Porous Medium by Coupling Between the Navier–Stokes and Darcy–Forchheimer Equations
title_short	Numerical Approach of a Water Flow in an Unsaturated Porous Medium by Coupling Between the Navier–Stokes and Darcy–Forchheimer Equations
title_full	Numerical Approach of a Water Flow in an Unsaturated Porous Medium by Coupling Between the Navier–Stokes and Darcy–Forchheimer Equations
title_fullStr	Numerical Approach of a Water Flow in an Unsaturated Porous Medium by Coupling Between the Navier–Stokes and Darcy–Forchheimer Equations
title_full_unstemmed	Numerical Approach of a Water Flow in an Unsaturated Porous Medium by Coupling Between the Navier–Stokes and Darcy–Forchheimer Equations
title_sort	numerical approach of a water flow in an unsaturated porous medium by coupling between the navier–stokes and darcy–forchheimer equations
publisher	Sciendo
series	Latvian Journal of Physics and Technical Sciences
issn	0868-8257
publishDate	2017-12-01
description	In the present research, simulations have been conducted to determine numerically the dynamic behaviour of the flow of underground water fed by a river. The basic equations governing the problem studied are those of Navier–Stokes equations of conservation of momentum (flows between pores), coupled by the Darcy–Forchheimer equations (flows within these pores). To understand the phenomena involved, we first study the impact of flow rate on the pressure and the filtration velocity in the underground medium, the second part is devoted to the calculation of the elevation effect of the river water on the flow behaviour in the saturated and unsaturated zone of the aquifer.
topic	darcy–forchheimer equations groundwater flow hydrodynamic modelling porous medium
url	https://doi.org/10.1515/lpts-2017-0041
work_keys_str_mv	AT hamik numericalapproachofawaterflowinanunsaturatedporousmediumbycouplingbetweenthenavierstokesanddarcyforchheimerequations AT zerouali numericalapproachofawaterflowinanunsaturatedporousmediumbycouplingbetweenthenavierstokesanddarcyforchheimerequations
_version_	1717777254355828736

Numerical Approach of a Water Flow in an Unsaturated Porous Medium by Coupling Between the Navier–Stokes and Darcy–Forchheimer Equations

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