Effects of Magnetic Particles Diameter and Particle Spacing on Biomagnetic Flow and Heat Transfer Over a Linear/Nonlinear Stretched Cylinder in the Presence of Magnetic Dipole

Abstract

Magnetic particles are essential in materials science, biomedical, bioengineering, heat exchangers due to their exceptional thermal conductivity and unique properties. This work aims to model and analyze the biomagnetic fluid flow and heat transfer, namely the flow of blood with magnetic particles (Fe3O[Formula: see text] induced by stretching cylinder with linear and nonlinear stretching velocities. Additionally, this study investigates the impact of particles diameter and their spacing under the influence of ferrohydrodynamics (FHD) principle. The collection of partial differential equations is transformed using similarity transformations to produce the theoretically stated ordinary differential system. An efficient numerical technique, which is further based on common finite difference method with central differencing, a tridiagonal matrix manipulation and an iterative procedure are used to solve the problem numerically. The major goal of this extensive study is to enhance heat transformation under the influence of numerous parameters. There have been numerous displays of the velocity profile, temperature distribution, local skin friction factor and rate of heat transfer in terms of the appearing physical parameters. It is observed that variation in velocity and temperature distributions is the cause of increasing the ferromagnetic interaction parameter and the size of magnetic particles. The enhancement of particle diameter causes an increment in the skin friction while the rate of heat transfer declines. For verifying purposes, a comparison is also shown with previously published scientific work and found to possess suitable accuracy.

Biomagnetic Fluid Flow on a Nonlinearly Stretching Sheet with Variable Thickness in a Magnetic Environment

“…Since blood is our base fluid in this study, therefore we consider the following physical properties from the study [15,[55][56]] as𝜌 = 1050𝑘𝑔/𝑚 3 , 𝜇 = 3.2 × 10 −3 𝑘𝑔𝑚 −1 𝑠 −1 , 𝜎 = 0.8𝑠𝑚 −1 , 𝑐 𝑝 = 3.9 × 10 3 𝐽𝑘𝑔 −1 𝑘 −1 and 𝑘 = 0.5𝐽𝑚 −1 𝑠 −1 𝑘 −1 . Considering these one can find the adjustable Prandtl number for human blood is 25, viscous dissipation number is 6.4 × 10 −14 .…”