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2 International Journal of Applied Mechanics and Engineering

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Radiation effect on MHD blood flow through a tapered porous stenosed artery with thermal and mass diffusion

Sharma M., Gaur R. K., Sharma B. K.

International Journal of Applied Mechanics and Engineering

2019

Vol. 24, no. 2

411--423

A mathematical model for MHD blood flow through a stenosed artery with Soret and Dufour effects in the presence of thermal radiation has been studied. A uniform magnetic field is applied perpendicular to the porous surface. The governing non-linear partial differential equations have been transformed into linear partial differential equations, which are solved numerically by applying the explicit finite difference method. The numerical results are presented graphically in the form of velocity, temperature and concentration profiles. The effects of various parameters such as the Reynolds number, Hartmann number, radiation parameter, Schmidt number and Prandtl number, Soret and Dufour parameter on the velocity, temperature and concentration have been examined with the help of graphs. The present results have an important bearing on the therapeutic procedure of hyperthermia, particularly in understanding/regulating blood flow and heat transfer in capillaries.

Mathematical modeling of magneto pulsatile blood flow through a porous medium with a heat source

Sharma B. K., Sharma M., Gaur R. K., Mishra A.

International Journal of Applied Mechanics and Engineering

2015

Vol. 20, no. 2

385--396

In the present study a mathematical model for the hydro-magnetic non-Newtonian blood flow in the non-Darcy porous medium with a heat source and Joule effect is proposed. A uniform magnetic field acta perpendicular to the porous surface. The governing non-linear partial differential equations have been solved numerically by applying the explicit finite difference Method (FDM). The effects of various parameters such as the Reynolds number, hydro-magnetic parameter, Forchheimer parameter, Darcian parameter, Prandtl number, Eckert number, heat source parameter, Schmidt number on the velocity, temperature and concentration have been examined with the help of graphs. The present study finds its applications in surgical operations, industrial material processing and various heat transfer operations.