Modeling of Blood Flow through Stenosed Artery with Heat in the Presence of Magnetic Field

Bunonyo, Kubugha Wilcox; Israel-Cookey, C; Amos, Emeka

doi:10.9734/arjom/2018/37767

Cited by 10 publications

(11 citation statements)

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“…The study of heat transfer in the flow of blood has gained much importance due to its significant role in medical sciences and in the research field as well. Many researchers such as Bunonyo, Cookey and Amos [16] studied the modeling of blood flow through stenosed artery with heat in the presence of magnetic field. Ali and Ahmad [17] gave an analytical solution of unsteady MHD blood flow and heat transfer through parallel plates when lower plate stretches exponentially.…”

Section: Introductionmentioning

confidence: 99%

Effect of Treatment Parameter on Oscillatory Flow of Blood Through an Atherosclerotic Artery with Heat Transfer

Hanvey¹,

Bunonyo

2022

J. Nig. Soc. Phys. Sci.

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This research work has been carried out to investigate the influence of treatment parameter on flow of blood in a stenosed artery in the presence of magnetic field with heat transfer. The momentum equation governing the flow field has been solved by scaling it to dimensionless structure with the aid of some dimensionless parameters. The equations have been analytically solved using modified Bessel equation and by the method of undetermined coefficients in order to obtain the temperature profile and velocity profile of the blood flow. The characteristics of the flow have been derived for a certain set of values RT ; Da; \theta; Gr; Re; Pr; \omega; \delta involved in the model analysis and are presented graphically with the help of software Mathematica. Moreover the velocity of the blood is adopting a wavy pattern as the values of the parameters vary. The study can be useful in providing a perception of the treatment caused by the superfluous consumption of fatty foods hence decreasing the risk of cancer, hypertension and many heart related diseases.

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Section: Introductionmentioning

confidence: 99%

Effect of Treatment Parameter on Oscillatory Flow of Blood Through an Atherosclerotic Artery with Heat Transfer

Hanvey¹,

Bunonyo

2022

J. Nig. Soc. Phys. Sci.

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“…The challenge in deriving analytical solution is due to the singularity of the resulting fluid models at the origin which is the centre of the channel (tube).This makes it difficult to apply the zero-gradient boundary condition at the origin. This is the problem that could not be resolved in [17] leading to a solution that does not satisfy the no-slip boundary condition at the channel wall. In this work, we resolve this difficulty by imposing the constraint that every flow quantity or variable is finite throughout the channel.…”

Section: Introductionmentioning

confidence: 99%

Analytical Solution of a Non-isothermal Flow in Cylindrical Geometry

Nwaigwe

Amadi²

2021

ARJOM

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This study proposes analytical solution to the problem of transport in a Newtonian fluid within a cylindrical domain. The flow is assumed to be dominated along the channel axis, and is taken to be axi-symmetric. No-slip boundary condition is considered for velocity while the temperature and concentration have Dirichlet boundary values. The resulting problem is transformed into a set of non-trivial variable coefficient differential equations in a cylindrical geometry. By adopting the series solution method of Frobenius, the closed-form analytical solutions are derived for the flow variables. We conduct an analysis of the derived model, and showed that, indeed, the flow variables are axi-symmetric. We also state and prove another theorem to show that the derived concentration model is positivity preserving – meaning that it yields positive concentration - provided the boundary value is non-negative. Finally, we present graphical results for the flow variables and discuss the effect of the relevant flow parameters. The results showed that (i) an increase in the cooling parameter, reduces the fluid velocity, (ii) the temperature decreases as the cooling parameter increases and (iii) an increase in the injection parameter, leads to increase in the concentration.

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“…The azimuthaldirection of the flow is considered to be zero. Following Bunonyo et al [16] we present the equation governing the blood flow as:…”

Section: Mathematical Formulationmentioning

confidence: 99%

Mathematical Modelling of an Atherosclerotic Blood Flow Through Double Stenosed Region with Application of Treatment

Bunonyo¹,

Amos²,

Goldie³

2020

IJAMTP

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The aim of the present article is to model atherosclerotic blood flow through double stenosis in the arterial lumen with application of treatment subject to some boundary conditions in the channel. The research focused also on mathematical formulation of momentum equation governing the blood flow, driven by the oscillatory pressure gradient due to the contraction of muscles of the heart tissues and externally applied magnetic field. The nonlinear partial differential equation and geometries of the double stenosis are scaled using some quantities which made them dimensionless with some pertinent physical parameters such as the womersley number, the treatment parameter, Hartmann number, Darcy number at the region. The oscillatory perturbation method was adopted to further reduce the dimensionless equation to a Bessel differential equation of order zero. An exact solution of equation governing the flow is obtained with quantities coefficients. Mathematica codes were developed to investigate the influence of the pertinent parameters on the velocity profile, shear stress and volumetric flow rate of the first segment of stenosis δ 1 , while we considered the second stenosis δ 2 segment fixed and present the results graphically. In conclusion, it is observed from the results and analysis that the pertinent parameters influenced the blood flow through a double stenosed region of an arterial lumen withholding the second stenosis fixed. These results could help in raising the awareness and the need for treatment of patients with double stenosis focusing on the most delicate.

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Modeling of Blood Flow through Stenosed Artery with Heat in the Presence of Magnetic Field

Cited by 10 publications

References 0 publications

Effect of Treatment Parameter on Oscillatory Flow of Blood Through an Atherosclerotic Artery with Heat Transfer

Effect of Treatment Parameter on Oscillatory Flow of Blood Through an Atherosclerotic Artery with Heat Transfer

Analytical Solution of a Non-isothermal Flow in Cylindrical Geometry

Mathematical Modelling of an Atherosclerotic Blood Flow Through Double Stenosed Region with Application of Treatment

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