Results validation by using finite volume method for the blood flow with magnetohydrodynamics and hybrid nanofluids

Author:

Haider Jamil Abbas1ORCID,Ahmad Shahbaz1ORCID,Ghazwani Hassan Ali2,Hussien Mohamed3,Almusawa Musawa Yahya4,Az-Zo’bi Emad A.5

Affiliation:

1. Abdus Salam School of Mathematical Sciences, Government College University, Lahore 54600, Pakistan

2. Department of Mechanical Engineering, College of Engineering, Jazan University, Jazan, Saudi Arabia

3. Department of Chemistry, Faculty of Science, King Khalid University, P. O. Box 9004, Abha 61413, Saudi Arabia

4. Department of Mathematics, Faculty of Science, Jazan University, Jazan, Kingdom of Saudi Arabia

5. Department of Mathematics, Mutah University, Al Karak, Jordan

Abstract

This paper conducts an extensive comparative analysis of numerical methods employed in modeling blood flow through arteries with Magnetohydrodynamics (MHD) and hybrid nanofluids. The study investigates the effectiveness and precision of distinct numerical approaches: Akbari Ganji’s Method (AGM), Fourth-Order Runge–Kutta (RK4), Finite Volume Method (FVM), and the Finite Element Method (FEM). These methods are essential for comprehending the intricate fluid dynamics that arise in the presence of magnetic fields and hybrid nanofluids a phenomenon relevant in numerous medical applications. Blood flow is subjected to a homogeneous magnetic field in a radial direction while the magneto-hemodynamics effect is taken into account. A variety of medical, physiological, and surgical procedures, as well as the regulation of blood pressure, heat distribution, wound healing, diagnostic imaging, and drug discovery, depend on blood flow through arteries to carry out vital functions such as oxygen and nutrition delivery, organ maintenance, and wound healing. Our findings highlight that while each method has strengths, their applicability varies based on the problem’s characteristics and computational resource constraints. This analysis aids researchers and practitioners in selecting the most suitable method for their modeling requirements, advancing numerical techniques for complex fluid dynamics involving MHD and hybrid nanofluids.

Publisher

World Scientific Pub Co Pte Ltd

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