TY - JOUR ID - 71866 TI - Mathematical modeling of blood flow in a stenosed artery under MHD effect through porous medium JO - International Journal of Engineering JA - IJE LA - en SN - 1025-2495 AU - Singh, Ram AU - Sharma, G. C. AU - Jain, M. AD - Applied Mathematics, BGSB University AD - Mathematics, I.B.S, AGRA AD - Mathematics, Department of Mathematics Y1 - 2010 PY - 2010 VL - 23 IS - 3 SP - 243 EP - 252 KW - MHD Flow KW - Stenosis KW - Magnetic number KW - porosity KW - Axial velocity KW - Volumetric flow rate KW - Wall Shear Stress DO - N2 - In this investigation, a mathematical model for studying oscillatory flow of blood in a stenosed artery under the influence of transverse magnetic field through porous medium has been developed. The equations of motion of blood flow are solved analytically. The analytical expressions for axial velocity, volumetric flow rate, pressure gradient, resistance to blood flow and shear stress have been derived. These expressions reveal significant alterations in blood flow due to stenosis. It is seen that magnetic field significantly controls the flow patterns. We have incorporated the magnetic field perpendicular to the flow of blood. The concept of porous medium is also taken into consideration which takes care of the suction factor. The effects of various parameters particularly magnetic number and porosity constant on the blood flow through stenosis have been examined. To validate the analytical results, numerical experiment is performed. The results obtained in the investigation are in reasonably good agreement with experimental findings existing in the literature. UR - https://www.ije.ir/article_71866.html L1 - https://www.ije.ir/article_71866_88860fda4c254c2f34705c8daeb59deb.pdf ER -