Impact of Thermal Radiation and Heat Source on MHD Blood Flow with an Inclined Magnetic Field in Treating Tumor and Low Blood Pressure

Main Article Content

Ekakitie Omamoke
Emeka Amos
Efere Jatari

Abstract

In this paper, we will be analyzing the impact of thermal radiation and heat source on blood flow past a horizontal channel that is permeable with an applied magnetic field that is inclined at variable angles. The non-linear higher partial differential equation which is the governing equation is transformed to ordinary differential equations using non-dimensional variable to non-dimensional equations that is then solved analytically with the application of required boundary conditions for the blood flow and temperature equations which is a function of y and t. Parameters that are varied shows an effect on the blood flow and temperature profile with the presentation of results shown graphically and results clearly discussed. Observations from the research shows that when the thermal radiation increases, there will be a mixed effect in the flow of blood, increase in the magnetic field on the artery shows an increase in flow of blood while the blood flow reduces and the temperature of the blood increases when the heat source is increased. Other parameters also shows an effect on the flow of the blood.

Keywords:
Magneto Hydrodynamic (MHD), blood flow, angle of inclined magnetic field, thermal radiation, magnetic field, heat source, permeability

Article Details

How to Cite
Omamoke, E., Amos, E., & Jatari, E. (2020). Impact of Thermal Radiation and Heat Source on MHD Blood Flow with an Inclined Magnetic Field in Treating Tumor and Low Blood Pressure. Asian Research Journal of Mathematics, 16(9), 77-87. https://doi.org/10.9734/arjom/2020/v16i930221
Section
Original Research Article

References

Kolin A. Electromagnetic flow meter: Principles of method and its application to blood flow measurement. In-Proceedings of the Society of Experimental Biology and Medicine. 1936;35:53-56.

Korchevskii EM, Marochnik LS. Magneto hydrodynamic version of movement of blood. Biophysics. 1965;10(2):411-414.

Ogulu A, Amos E. Modelling pulsatile blood flow within a homogeneous porous bed in the presence of a uniform magnetic field and time dependent suction. International Commun Heat Mass Transfer. 2007;34:989-995.

Muhammad Usman, Syed Tauseef, Mohyud Din. Fluid flow and heat transfer investigation of blood with nanoparticles through porous vessels in the presence of magnetic field. Journal of Algorithm & Computational Technology. 2008;13:1-15.
DOI: 10.1177/1748301818788661

Asma Khalid, Llyas Khan, Arshad Khan, Sharidan Shafie, I. Tlili. Case study of MHD blood flow in a porous medium with CNTS and thermal analysis. Journal of Thermal Engineering. 2018;12:374-380.

Prakash Om, Singh SP, Devendra Kumar, Dwivedi YK. A study of effects of heat source on MHD blood flow through bifurcated arteries. AIP Advances I. 2011;042128.
DOI: 10.1063/1.3658616

Tripathy DA. Mathematical model for blood flow through inclined arteries under the influence of inclined magnetic field. Journal of Medicine and Biology. 2012;12(31250033):1-16.

Neetu Srivastava. Analysis of flow characteristics of the blood flowing through an inclined tapered porous artery with mild stenosis under the influence of an inclined magnetic field. Journal of Biophysics. 2014;9:797142.

Tziirtzilakis EE. A mathematical model for blood flow in magnetic field. Physics of Fluid. 2005;17:077103.

Blessy Thomas, Sumam KS. Blood flow in human arterial systems-A review. International Conference on Emerging Trend in Engineering Science and Technology. 2016;24:339-346.

Latha R, Rushi Kumar B. Unsteady MHD blood flow through porous medium in a parallel plate channel. IOP Conference Series: Material Science and Engineering. 2017;263:062020.
DOI: 10.1088/1757-899X/263/6/062020

Vincent Mwanthi, Eustance Mwenda, Kennedy Gachoka J. Velocity profiles of unsteady blood flow through an inclined circular tube with magnetic field. Journal of Advances in Mathematics and Computer Science. 2017;24(6):1-10.

Tripathy B, Sharma BK. Effect of variable viscocity on MHD inclined arterial blood flow with chemical reaction. International Journal of Applied Mechanics and Engineering. 2018;23(3):767-785.
DOI: 10:2478/ijame-2018-0042

Islam M. Eldesoky. Mathematical analysis of unsteady MHD blood flow through parallel plate channel with heat source. World Journal of Mechanics. 2012;2:131-137.
DOI: 10.4236/WJM.2012.23015