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Two-Layered Two-Phase Magnetohydro-Dynamic Fluid Model of Blood Flow Through Narrow Circular Vessels


S. R. Verma


A two-layered two-phase magnetohydrodynamic model for blood flow through a narrow circular vessel under the influence of uniform transverse magnetic field has been developed. It is assumed that the core region is the suspension of all the erythrocytes in plasma fluid and a peripheral layer of cell-free plasma. Analytical expressions for velocity profiles of plasma and cells in both regions along with flow rate, effective viscosity and resistance to flow have been obtained. Results have been evaluated numerically for various values of the rheological parameters available from published works and discussed graphically. It may be noticed that the effective viscosity decreases/increases with increasing pheripheral layer thickness/Hartman number. This is good agreement to the published works related to dialysis

Keywords and Phrases : Two-phase model, Hartman number, Hematocrit, Blood flow, Magnetic field

Received date : 19 April, 2010

Accepted date: January 10, 2011

cited by: J.T.S. Vol. 5 (2011), pp.27-39

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