Math. Model. Nat. Phenom.
Volume 17, 2022
|Number of page(s)
|23 December 2022
Scientific Breakdown of a Ferromagnetic Nanofluid in Hemodynamics: Enhanced Therapeutic Approach
College of Mathematics and Systems Science, Shandong University of Science and Technology,
2 Instituto de Ciencias Matemáticas ICMAT, CSIC, UAM, UCM, UC3M, Madrid 28049, Spain
3 Basic Science, Faculty of Engineering, The British University in Egypt, Al-Shorouk City, Cairo 11837, Egypt
* Corresponding author: email@example.com
Accepted: 16 October 2022
In this article, we examine the mechanism of cobalt and tantalum nanoparticles through a hybrid fluid model. The nanofluid is propagating through an anisotropically tapered artery with three different configurations: converging, diverging and non-tapered. To examine the rheology of the blood we have incorporated a Williamson fluid model which reveals both Newtonian and non-Newtonian effects. Mathematical and physical formulations are derived using the lubrication approach for continuity, momentum and energy equations. The impact of magnetic field, porosity and viscous dissipation are also taken into the proposed formulation. A perturbation approach is used to determine the solutions of the formulated nonlinear coupled equations. The physical behavior of all the leading parameters is discussed for velocity, temperature, impedance and streamlines profile. The current analysis has the intention to be used in therapeutic treatments of anemia because cobalt promotes the production of red blood cells since it is a component of vitamin B12, this is in addition to having tantalum that is used in the bone implants and in the iodinated agents for blood imaging due to its long circulation time. Moreover, in order to regulate the blood temperature in a living environment, blood temperature monitoring is of utmost necessity in the case of tapering arteries. The management and control of blood mobility at various temperatures may be facilitated by the presence of a magnetic field. The current findings are enhanced to provide important information for researchers in the biomedical sciences who are attempting to analyze blood flow under stenosis settings and who will also find the knowledge useful in the treatment of various disorders.
Key words: Hybrid nanofluid / cobalt & tantalum nanoparticles / arterial blood flow / magnetic field / williamson fluid
© The authors. Published by EDP Sciences, 2022
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