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1 International Journal of Applied Mechanics and Engineering

1 2011

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Study of an oxygenation process in capillary in the presence of magnetic field

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Bali R. , Awasthi U. , Sharma S. K.

2011

tom Vol. 16, no 2

331-344

A mathematical model for the transport of oxygen in the systemic capillaries and the surrounding tissue in the presence of a magnetic field is presented in this paper. We have modeled the capillary by a circular cylinder surrounded by a tissue of uniform thickness. The model takes into account the transport mechanisms of molecular diffusion, convection and diffusion due to the presence of hemoglobin as a carrier of the gases (oxygen).The resulting system of differential equations is solved analytically by the method of separation of variable and Picard's method. The result for partial pressure of oxygen in the capillary and tissue region is obtained. The effect of the Hartmann number (H) and others parameters is obtained and discussed through graphs.