Modeling and Investigation of the Influence of Angle of Inclination on Magneto-hydrodynamics Blood Flow through a Tapered Vessel
K. W. Bunonyo *
Department of Mathematics and Statistics, Federal University Otuoke, Nigeria.
L. Ebiwareme
Department of Mathematics, Rivers State University, Port Harcourt, Nigeria.
*Author to whom correspondence should be addressed.
Abstract
The phenomenon of blood flow through a tapered channel under the influence of a magnetic field and an angle of inclination is thoroughly investigated and formulated in this article. The governing equations are nondimensionalized, reduced to first-order ODEs, and then solved for the corresponding profiles using the power series method using the perturbation procedure. The expressions for blood velocity and blood velocity profile are generated in terms of the relevant parameters. The flow quantities are discussed in relation to the Prandtl number, radiation parameter, heat source parameter, Reynolds number, Grashof number, magnetic field parameter, Froude number, and angle of inclination. The results, as shown graphically in the figures, demonstrated that the regulating parameters' characteristics have an effect.
Keywords: MHD, angle of inclination, tapered artery, blood vessel, modeling