A Low Prandtl Number Haemodynamic  Oscillatory Flow through a Cylindrical Channel  using the Power Series Method

Bunonyo, Kubugha Wilcox; Ebiwareme, Liberty

doi:10.24018/ejphysics.2022.4.3.178

Cited by 6 publications

(7 citation statements)

References 15 publications

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“…The application of applied magnetic field plays a vital role in the study of blood flow because it can be used as a treatment for heart-related diseases. This result agrees with previous research by Hanvey and Bunonyo [17], as well as Bunonyo and Ebiwareme [19]. The study investigated the influence of Soret number on cholesterol concentration with the result shown in Figure 6; the figure is of the view that the concentration decreases with the increase in different values of the Soret numberS r = 1, 2, 3, 4, 5at the location atx = 0.5.…”

Section: Discussionsupporting

confidence: 89%

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Convective Flow of Blood through a Constricted Cylinder and the Effect of Cholesterol Growth Rate on the Motion in the Presence of a Magnetic Field

Bunonyo

Amos

2022

Afr. Sci. Rep.

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An inflammatory disease resulting in the pathological constriction of the intima and media of the arterial system, such as the aorta, causes symptoms like stroke, heart attack, or angina; This research investigates the convective flow of blood through a constricted cylinder and the effect of cholesterol growth rate on the motion in the presence of a magnetic field by transforming the problem into a system of time-dependent partial differential equations. The governing partial differential equations (PDEs) were transformed into dimensionless ordinary differential equations (ODEs) and solved using the Laplace method. After obtaining the analytical solution, Wolfram Mathematica was used to perform the numerical computation where the various physical parameters such as Soret number, radiation number, solutal Grashof number, Schmidt number, and Prandtl number were varied to their impact studied. The study discovered that increasing the Soret number causes an increase in blood velocity, whereas decreasing the Solutal Grashof number decreases blood velocity. Furthermore, an increase in radiation parameter increases the blood velocity, but a Soret number increase results in a decrease in the concentration of cholesterol in the fluid, a Schmidt number, and oscillatory frequency increase, causing the temperature to decrease. This research is useful for clinicians and mathematical modellers who are trying to understand the flow of cholesterol saturated fluid in the human vascular system and how best to proffer analytical and numerical solutions in synergy with laboratory investigation.

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Section: Discussionsupporting

confidence: 89%

“…We assume the application of perpendicular external magnetic field. Following Bunonyo and Ebiwareme [19], we present mathematical representation of atherosclerotic geometry and the governing equations as follows:…”

Section: Mathematical Formulationmentioning

confidence: 99%

Convective Flow of Blood through a Constricted Cylinder and the Effect of Cholesterol Growth Rate on the Motion in the Presence of a Magnetic Field

Bunonyo

Amos

2022

Afr. Sci. Rep.

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“…Considerations were made concerning the blood velocity, mass concentration, and blood temperature of the flowing fluid in the blood vessel. However, numerical simulation was carried out using the data obtained from Bunonyo and Amos [1] and Bunonyo and Ebiwareme [16]. Wolfram Mathematica, version 12 was used to perform the computation by varying the pertinent parameters within some specific range.…”

Section: Discussionmentioning

confidence: 99%

Steady blood flow through a porous microchannel with the influence of an inclined magnetic field

Bunonyo¹,

Amos²

2022

World J. Adv. Eng. Technol. Sci.

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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.

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“…In addition, we also take into consideration the velocity of the fluid, the lipid concentration, and the temperature of the fluid, respectively. The equations governing the flow of the fluid through a cylindrical channel following Bunonyo and Ebiwareme (2022) [11], are stated as coupled differential equations as stated below.…”

Section: Mathematical Formulationmentioning

confidence: 99%

Flow of an incompressible non-Newtonian fluid in a lipid concentrated cylindrical channel under the influence of magnetic field and metabolic heat

Bunonyo¹,

Anebo²

2022

World J. Adv. Res. Rev.

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In this research, we used mathematical models in the investigation of incompressible non-Newtonian fluid flow through a lipid-concentrated cylindrical channel with the effect of metabolic heat and magnetic treatment. The nonlinear partial differential equations were scaled into linear partial differential equations and then solved using the Laplace method to obtain the exact solutions. The numerical simulation was carried out using Wolfram Mathematica, version 12, where graphical results were obtained showing the variation of various pertinent parameters and their effects on the velocity profile of the fluid. The graphs revealed the effects of the parameters such as the metabolic heat, Grashof parameter, magnetic field; Prandtl number, pressure gradient, and porosity parameter have on the flow profile. The significance of this study is in the therapeutic investigation of hyperthermia, especially on the regulation of blood flow and lipids in the blood.

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A Low Prandtl Number Haemodynamic Oscillatory Flow through a Cylindrical Channel using the Power Series Method

Cited by 6 publications

References 15 publications

Convective Flow of Blood through a Constricted Cylinder and the Effect of Cholesterol Growth Rate on the Motion in the Presence of a Magnetic Field

Convective Flow of Blood through a Constricted Cylinder and the Effect of Cholesterol Growth Rate on the Motion in the Presence of a Magnetic Field

Steady blood flow through a porous microchannel with the influence of an inclined magnetic field

Flow of an incompressible non-Newtonian fluid in a lipid concentrated cylindrical channel under the influence of magnetic field and metabolic heat

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