Analysis of the effects of magnetic field, heat transfer, and thermal radiation on blood flow through bifurcated artery to enhance tumor treatments

Abdullahi Isah, Department of Mathematical Sciences, Abubakar Tafawa Balewa University, Bauchi, NigeriaFollow
Dauda Gulibur Yakubu, Department of Mathematical Sciences, Abubakar Tafawa Balewa University, Bauchi, NigeriaFollow
Ali Musa, Department of Mathematics and Statistics, Yobe State University, Damaturu, NigeriaFollow

Section

Physical Sciences

Abstract

The work presents the effects of some pertinent parameters on blood flow through bifurcated artery to enhance tumor treatments. Combining appropriately the basic equations, together with the fractionalized Maxwell fluid model allow us to determine the velocity, temperature and concentration of blood flow through bifurcated artery. The study adopted the Atangana-Baleanu fractional time derivative on fluid model to describe the non-Newtonian behavior of blood flow. The numerical simulations were performed using the combined Laplace transform and the method of undetermined coefficients and the results obtained with the aid of Mathcad software were simulated and presented graphically. From the graphical results, we observed that high shear forces form on both sides of the flow bifurcation's apex at all flows. At high flow rates, low-velocity regions develop near the outer walls of the bifurcation due to geometric expansion and adverse pressure gradients. Analysis of the velocity profiles shows that flow near the outer wall angles is more sensitive to changes in flow rate than at the bifurcation apex, where the flow remains relatively stable because of symmetry. As a result, the flow behavior at the outer walls differs significantly from that at the apex. The findings of the study provide insights into the behavior of blood flow in complex geometry of the bifurcated artery and can improve the development of more effective treatments for a wide range of medical conditions, including cancer treatments. In summary, the study constitutes a noteworthy addition to the domain of biomedical engineering, optimizing medical treatment, clinical application and establishes a basis for subsequent investigations in the medical domain.

Recommended Citation

Isah, Abdullahi; Yakubu, Dauda Gulibur; and Musa, Ali (2026) "Analysis of the effects of magnetic field, heat transfer, and thermal radiation on blood flow through bifurcated artery to enhance tumor treatments," Tanzania Journal of Science: Vol. 52: Iss. 1, Article 13.
Available at:https://doi.org/10.65085/2507-7961.2190