A porous-medium approach for modeling heart mechanics. II. 1-D case

Sorek, S.; Sideman, S.

doi:10.1016/0025-5564(86)90160-4

Cited by 2 publications

(1 citation statement)

References 7 publications

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“…Various studies using this model have been presented in the context of porous media heat transfer, as described by Pop and Ingham (2001). Significant works include those by Preziosi and Farina (2002) who studied mass exchange using an extended Darcy model, Vankan et al (1997) who considered non-Darcy transport in blood perfused tissue and Sorek and Sideman (1986) who analyzed blood flow in cardiac vessels using a Darcy-Forchheimer model. Recently, Bhargava et al (2007) used the Darcy-Forchheimer model to analyze pulsating magnetohydrodynamic blood flow and species diffusion in a porous medium channel.…”

Section: Introductionmentioning

confidence: 99%

Mathematical Modeling of Magneto Pulsatile Blood Flow Through a Porous Medium with a Heat Source

Sharma¹,

Sharma²,

Gaur³

et al. 2015

International Journal of Applied Mechanics and Engineering

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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 acts 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.

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