Comptes Rendus
no. 6
Flow past an axisymmetric body embedded in a saturated porous medium
[Écoulement derrière un corps à symétrie axiale plongé dans un milieu poreux saturé]
D. Srinivasa Charya1 ; J.V. Ramana Murthy1
1 Department of Mathematics and Humanities, Regional Engineering College, Warangal 506004, India
Comptes Rendus. Mécanique, Volume 330 (2002) no. 6, pp. 417-423.

Nous étudions le problème d'écoulement derrière un corps axisymétrique plongé dans un milieu poreux saturé en utilisant l'extension de Brinkman. Nous donnons une formule générale pour la force de traînée exercée sur ce corps, sous forme de limite d'une expression contenant la fonction de courant caractéristique de l'écoulement. L'écoulement derrière une sphère axisymétrique approchée est également considéré. Dans ce cas précis, la fonction de courant s'exprime à l'aide des fonctions de Bessel et de Gegenbauer. Cette formule permet d'évaluer la traînée exercée sur le corps. Nous étudions également la variation de cette force en fonction des paramètres géométriques et de la perméabilité. La présente analyse permet d'obtenir les résultats concrets dans les cas d'une sphère et d'un corps sphéroidal.

The problem of viscous fluid past an axisymmetric body embedded in a fluid saturated porous medium is studied using the Brinkman's extension. A general formula for the drag on the body is derived in the form of a limit of an expression involving the stream function characterizing the flow. The flow past an axisymmetric approximate sphere is also considered. The stream function in this case is obtained in terms of Bessel functions and Gegenbauer's functions. The drag acting on the body is evaluated by using the formula derived. Its variation is studied with respect to geometric and permeability parameters. The special cases of flow past a sphere and a spheroid are obtained from the present analysis.

Reçu le :
Accepté le :
Publié le :
DOI : 10.1016/S1631-0721(02)01478-X
Keywords: fluid mechanics, axisymmetric body, porous medium, drag, approximate sphere
Mots-clés : mécanique des fluides, corps à symétrie axiale, milieux porex, force de traînée, sphère approchée

D. Srinivasa Charya 1 ; J.V. Ramana Murthy 1

1 Department of Mathematics and Humanities, Regional Engineering College, Warangal 506004, India 
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D. Srinivasa Charya; J.V. Ramana Murthy. Flow past an axisymmetric body embedded in a saturated porous medium. Comptes Rendus. Mécanique, Volume 330 (2002) no. 6, pp. 417-423. doi : 10.1016/S1631-0721(02)01478-X. https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.1016/S1631-0721(02)01478-X/

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Cité par 16 documents. Sources : Crossref, zbMATH

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