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Effect of a magnetic field on the flow and blood oxygenation in channels of variable cross-section

Deshikachar, KS and Rao, Ramachandra A (1985) Effect of a magnetic field on the flow and blood oxygenation in channels of variable cross-section. In: International Journal of Engineering Science, 23 (10). pp. 1121-1133.

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The effect of a magnetic field on the flow and oxygenation of an incompressible Newtonian conducting fluid in channels with irregular boundaries has been investigated. The geometric parameter δ, which is a ratio of the mean half width of the channel d to the characteristic length λ along the channel over which the significant changes in the flow quantities occur, has been used for perturbing the governing equations. Closed form solutions of the various order equations are presented for the stream function. The equations for oxygen partial pressure remain nonlinear even after perturbation, therefore a numerical solution is presented. The expressions for shear stress at a wall and pressure distributions are derived. Here the separation in the flow occurs at a higher Reynolds number than the corresponding non-magnetic case. It is found that the magnetic field has an effect on local oxygen concentration but has a little effect on the saturation length.

Item Type: Journal Article
Publication: International Journal of Engineering Science
Publisher: Elsevier Science
Additional Information: The copyright of this article belongs to Elsevier Science.
Department/Centre: Division of Physical & Mathematical Sciences > Mathematics
Date Deposited: 02 Jun 2009 05:05
Last Modified: 19 Sep 2010 05:32
URI: http://eprints.iisc.ac.in/id/eprint/20402

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