Steady blood flow through a porous microchannel with the influence of an inclined magnetic field
1 Department of Mathematics and Statistics, Federal University Otuoke, Nigeria.
2 Department of Mathematics, Rivers State University, Nigeria.
Research Article
World Journal of Advanced Engineering Technology and Sciences, 07(01), 096–112.
Article DOI: 10.30574/wjaets.2022.7.1.0104
Publication history:
Received on 08September 2022; revised on 12October 2022; accepted on 12 October 2022
Abstract:
This research deals with steady blood flow through a porous microchannel with the influence of an inclined magnetic field. In the research, we formulate time-independent differential equations which represent the blood momentum, energy equation, and mass concentration in the flood governing the flow. The governing equations were scaled to be dimensionless using some prescribed dimensionless parameters in the work. The reduced dimensionless governing equations were further solved using the Frobenius method (FM), where the blood velocity, mass concentration and blood temperature profiles were obtained. Numerical simulation was carried out using Wolfram Mathematica, version 12, to investigate the effect of the variation of the values of pertinent parameters on the flow profiles. In the investigation, it was revealed that the variation of Grashof number, Schmidt number, and porosity parameters increased the blood velocity before decreasing to zero when the boundary layer thickness was at its peak, while the variation of magnetic field and Prandtl number reduced blood velocity. However, the magnetic field angle of inclination initially increased the blood velocity before decreasing. In a similar vein, as the Schmidt number and chemical reaction parameters decrease the mass concentration level in the fluid, the blood temperature increases for the variation of the Schmidt number. In conclusion, the problem was formulated, solved, and simulation was done successfully, where various pertinent parameters were checked. These results are very useful for clinicians and scientists who are interested in investigating the role of some pertinent factors in understanding blood circulation problems theoretically.
Keywords:
Blood Flow; Mass Concentration; Magnetic Field; Microchannel; Grashof number; Porosity and Prandtl
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