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Unsteady boundary-layer viscous flow due to an impulsively started porous plate

Publication: Canadian Journal of Physics
September 2008


In this paper, we investigate the unsteady boundary-layer flow of an incompressible viscous fluid over an impulsively started porous flat plate in a constant velocity free-stream flow. The governing nonlinear partial-differential equations are simplified by the use of suitable similarity transformations. The resulting equation is then solved analytically using the homotopy analysis method. The present analytic solution is uniformly valid for all time 0 ≤ τ < ∞ in the whole spatial domain. The effect of the suction on the dynamic drag at the moving wall is studied. Also, the behavior of the dynamic drag is studied for different values of the parameter λ. Results are presented as graphs. PACS No.: 47.15.Cb


Nous étudions la couche limite instable de l’écoulement libre à vitesse constante d’un fluide visqueux incompressible sur une plaque plane et poreuse sujette à des mouvements impulsionnels. Les équations différentielles directrices aux dérivées partielles sont réduites par transformations de similarité et les équations résultantes sont solutionnées analytiquement via une méthode d’analyse homotopique. L’actuelle solution analytique est valide pour tout temps 0 ≤ τ < ∞ sur l’ensemble du domaine spatial. Nous étudions l’effet de la friction dynamique au mur en mouvement. Nous étudions cette même friction dynamique pour différentes valeurs de λ. Les résultats sont présentés graphiquement.[Traduit par la Rédaction]

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cover image Canadian Journal of Physics
Canadian Journal of Physics
Volume 86Number 9September 2008
Pages: 1079 - 1082


Version of record online: 5 September 2011


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