Solutions Using Symmetry Methods and Conservation Laws for Viscous Flow Through a Porous Medium Inside a Deformable Channel

Asghar, S.; Mahmood, M.; Kara, A. H.

doi:10.1615/jpormedia.v12.i8.70

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“…More recently Mahmood et al [9] discussed flow in a deformable channel with wall suction and injection through a porous medium. In another paper, Asghar et al [10] reconsidered the problem given in Reference [9] for symmetry and conservation laws. However, none of these studies [5][6][7][8][9][10] analyzed heat transfer in a deformable channel.…”

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confidence: 99%

Analytical and numerical solution for viscous dissipation effect on the heat transfer in a deformable channel

Mustafa

Asghar

Hayat

2011

Numerical Methods in Fluids

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SUMMARYIn this paper, shooting method and homotopy perturbation technique are applied for the flow analysis of temporal energy transport in a deformation channel with isothermal walls. An incompressible viscous fluid fills the space inside the channel. Analytical and numerical solutions are developed for the momentum and energy equations. The viscous dissipation effects are taken into account. Graphs for pertinent flow parameters are sketched and discussed. Comparison between the analytical and numerical solutions indicates an excellent agreement. It is noticed that behaviors of Prandtl and Eckert numbers on the temperature are qualitatively similar.

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