Application of the Caputo-Fabrizio Fractional Model for Investigating MHD Blood Flow in Permeable Bifurcated Arteries Subjected to an Inclined Magnetic Field: Relevance to Tumor Therapy

Isah Abdullahi¹ , Ali Musa²

Section:Research Paper, Product Type: Journal-Paper
Vol.12 , Issue.2 , pp.55-65, Apr-2024

Online published on Apr 30, 2024

Copyright Β© Isah Abdullahi, Ali Musa . This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
 

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Abstract :
This article introduces a model employing fractional-order time derivatives to describe magneto-hydrodynamic blood flow in bifurcated arteries subjected to an inclined magnetic field. It also considers thermal radiation, heat source effects, and chemical reactions relevant to tumor treatments. The Caputo-Fabrizio fractional derivative framework is utilized, and the problem is tackled using Laplace transform and the method of indeterminate coefficients. Analytical expressions for blood flow velocity, temperature, and concentration are derived. Graphical simulations are performed to investigate the impacts of various parameters, such as the order of Caputo-Fabrizio fractional derivative, magnetic field strength, thermal radiation, chemical reaction rate, heat source intensity, and Schmidt number. The results highlight the significant influence of the fractional order parameter on blood velocity, temperature, and concentration, particularly in shorter time frames. Moreover, parameters like inclined magnetic field, heat source, and chemical reaction rates are shown to exert considerable control over arterial wall blood velocity, temperature, and concentration. These findings have important implications for biomedical engineering and pathology applications.

Key-Words / Index Term :
Caputo-Fabrizio, Bifurcated Arteries, Inclined Magnetic Field, Tumor Treatment

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