An Investigation of Blood Flow through Parallel Plate Channel in the Presence of Inclined Magnetic Field with Heat and Mass Transfer

Authors

  • Rishab Richard Hanvey Department of Mathematics & Statistics, Sam Higginbottom University of Agriculture, Technology and Sciences, Prayagraj 211007, India

DOI:

https://doi.org/10.48048/tis.2022.5697

Keywords:

Blood flow, Inclined magnetic field, Parallel plate channel, Heat and mass transfer

Abstract

A Mathematical model for MHD flow of blood between a parallel plate channel with the effect of heat transfer and mass transfer has been investigated. An inclined magnetic field has been applied to the parallel plates filed with porous substance. The partial differential equations which are governing the flow field have been resolved numerically by applying non-dimensional parameters. The effect of inclination of magnetic field on the parallel plate channel has been analyzed, furthermore the effect of Prandtl number, thermal radiation, heat source parameter, chemical reaction parameter on the flow of blood has been studied in detail. The numerical results are analyzed and are represented graphically in the form of velocity profile, temperature profile and concentration profile. Moreover, the velocity of blood, temperature profile and concentration profile is adapting a wavy pattern as the various parameters vary.

HIGHLIGHTS

  • Heat and Mass transfer in hydro dynamical and biological systems is relevant in lots ofdiagnostic and coronary heart related issues that contains the changes in temperature hence this study can be of greater importance
  • This study analyses the effect of Inclination of magetic field and heat source parameter on the flow of blood through parallel plate channel which can be utilised in the field of medical science
  • Maximum emphasis is given on the blood flow with the impact of different parameters and how it behaves under the influence of these forces hence providing a pathway to deal with many deadly heart related diseases


GRAPHICAL ABSTRACT

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References

VA Vardhanyan. Effect of magnetic field on blood flow. Biofizika 1973; 18, 491-6.

K Halder. Effect of magnetic field on blood flow through an indented tube in the presence of erythrocytes. Indian J. Pure Appl. Math. 1994; 25, 345-52.

ARA Khaled and K Vafai. Role of porous media in modelling flow and heat transfer in biological tissues. Int. J. Heat Mass Transf. 2003; 46, 4989-5003.

EE Tziritzilakis. A mathematical order for the blood flow in magnetic field. Phys. Fluids 2005; 17, 77-103.

OD Makinde and PYMhone. Heat transfer to MHD oscillatory flow in a channel filed with porous medium. Rom. J. Phys. 2005; 50, 931-8.

NTM Eldable, IMF Sayed, AY Ghaly and HM Sayed. Mixed convective heat and mass transfer in a non-Newtonian fluid in a peristaltic surface with temperature dependent viscosity. Arch. Appl. Mech. 2007; 78, 599-624.

R Chaturvedi, RK Shrivastava and VK Jadon. Blood flow in presence of magnetic field through porous medium and its effect on heat transfer rate. Int. J. Adv. Comput. Math. Sci. 2012; 3, 266-71.

IM Eldesoky. Mathematical analysis of unsteady MHD blood flow through parallel plate channel with heat source. World J. Mech. 2012; 2, 131-7.

MY Abou-Zeid, SS El-Zahrani and HM Mansour. Mathematical modeling for pulsatile flow of a non-Newtonian fluid with heat and mass transfer in a porous medium between two permeable parallel plates. J. Nucl. Part. Phys. 2014; 4, 100-15.

M Ali, F Ahmad and S Hussain. Analytical solution of unsteady MHD blood flow and heat transfer through parallel plates when lower plate stretches exponentially. J. Appl. Environ. Biol. Sci. 2015; 5, 1-8.

O Ojjelaand N N Kumar. Unsteady MHD flow and heat transfer of micropolar fluid in a porous medium between parallel plates. Can. J. Phys. 2015; 98, 880-7.

V Malapatiand VL Darsari. Slip velocity distribution on MHD oscillatory heat and mass transfer flow of a viscous fluid in a parallel plate channel. Bangladesh J. Math. Soc. 2016; 36, 91-112.

R Lathaand BR Kumar. Unsteady MHD blood flow through porous medium in a parallel plate channel. IOP Conf. Ser.: Mater. Sci. Eng. 2017; 263, 1-11.

RR Hanvey, R Khare and A Paul. MHD Flow of incompressible fluid through parallel plates in inclined magnetic field having porous medium with heat and mass transfer. Int. J. Sci. Innov. Math. Res. 2017; 5, 18-22.

O Pourmehran, M Rahimi-Gorji, M Tavana, M Gorji-Bandpy and DD Ganji. Heat transfer investigation of non-Newtonian fluid between two vertically infinite flat plates by numerical and analytical solutions. Ann. Biomed. Eng. 2017; 1, 1-11.

MV Suresh and P Sekar. Mathematical analysis of unsteady MHD blood flow through parallel plate channel with heat source. Int. J. Eng. Tech. Mgmt. Res. 2018; 5, 40-50.

B Lavanya. An analytical study on MHD rotating flow through a porous medium with heat and mass transfer. J. Adv. Res. Fluid Mech. Therm. Sci. 2018; 2, 221-31.

M Sharma and RK Gaur. Radiation effect on MHD blood flow through a tapered porous stenosed artery with thermal and mass diffusion. Int. J. Appl. Mech. Eng. 2019; 24, 411-23.

R Sakthikala and B Lavanya. MHD oscillatory flow of non-Newtonian fluid through porous medium in the presence of radiation and chemical diffusion with hall effects. Int. J. Emerg. Technol. 2020; 11, 1093-9.

JU Abubakar and AD Adeoye. Effects of radiative heat and magnetic field on blood flow in an inclined tapered stenosed porous artery. J. Taibah Univ. Sci. 2020; 14, 77-86.

MAE Kot and YA Elmaboud. Unsteady pulsatile fractional maxwell viscoelastic blood flow with Cattaneo heat flux through a vertical stenosed artery with body acceleration. J. Therm. Anal. Calorim. 2021; 147, 4355-68.

MAE Kot and YA Elmaboud. Hybrid nanofluid flows through a vertical diseased coronary artery with heat transfer. J. Mech. Med. Biol.2021; 21, 2150012.

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Published

2022-08-15

How to Cite

Hanvey, R. R. . (2022). An Investigation of Blood Flow through Parallel Plate Channel in the Presence of Inclined Magnetic Field with Heat and Mass Transfer. Trends in Sciences, 19(16), 5697. https://doi.org/10.48048/tis.2022.5697