Mathematical Modeling of LDL-C and Blood Flow through an Inclined Channel with Heat in the Presence of Magnetic Field

Kubugha, Bunonyo Wilcox; Amos, Emeka

doi:10.48048/tis.2022.5693

Cited by 3 publications

(2 citation statements)

References 17 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Since the pressure is generated by the ventricular action and in the axial direction, in order to obtain the various profiles according to Kubugha and Amos [12], let us consider the equations ( 10)-( 13) to be in the following form: In order to reduce equations ( 10)-( 13) to an ordinary differential equation, we apply equation ( 14), which reduces them to: The corresponding boundary conditions are…”

Section: Energy Equationmentioning

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.

View full text Add to dashboard Cite

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.

show abstract

Section: Energy Equationmentioning

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.

View full text Add to dashboard Cite

show abstract

“…The model analysis and results are presented graphically with the help of the software Mathematica. Kubugha and Amos [18] used a mathematical model to investigate LDL-C and blood flow through an inclined channel with heat in the presence of a magnetic field. In their research, mathematical models were formulated to represent LDL-C and blood flow and energy transfer as a coupled system of partial differential equations (PDEs).…”

Section: Introductionmentioning

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.

View full text Add to dashboard Cite

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.

show abstract

Modelling and Simulation of the Effect of Prandtl and Soret Numbers on Mass Concentration with Magnetic Intensity in a Blood Channel

Bunonyo,

Butter,

Eli

2024

African Journal of Mathematics and Statistics Studies

View full text Add to dashboard Cite

Mass concentration in blood is the amount of protein, glucose, and waste products present in a given blood volume, and the change in mass concentration can lead to several health challenges, such as cardiovascular problems. However, this research was focused on formulating a system of partial differential mathematical models that represent energy transfer in the blood and mass concentration. The models were further scaled to be dimensionless, reduced to ordinary differential equations using some perturbation conditions, and solved analytically using the Laplace method, where the temperature and mass concentration profiles were obtained. In addition, the numerical simulation was carried out using Wolfram Thematic, version 12, and the impact of the Prandtl and Soret numbers was investigated. The results indicate that the Prandtl number, Soret number, and many other numbers that appeared in the system were varied to understand the parameter changes on the profiles. Conclusion: We conclude that the oscillatory parameter and Prandtl number increased the temperature profiles, while other parameters increased the mass concentration as they increased.

show abstract

Mathematical Modeling of LDL-C and Blood Flow through an Inclined Channel with Heat in the Presence of Magnetic Field

Cited by 3 publications

References 17 publications

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

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

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

Modelling and Simulation of the Effect of Prandtl and Soret Numbers on Mass Concentration with Magnetic Intensity in a Blood Channel

Contact Info

Product

Resources

About