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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 4) 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. [ABSTRACT FROM AUTHOR]

In this paper, a steady, viscous, incompressible, and electrically non‐conducting laminar flow of biomagnetic fluid, namely, the flow of blood with magnetic particles over a stretched cylinder in the presence of magnetic dipole, is studied. Since magnetic particles with low cytotoxicity can carry away unwanted reactive oxygen species and provide safeguard for biomedical applications, this study has immense applications in medical and bio‐engineering sections like cancer treatment, drug delivery, and magnetic resonance imaging (MRI). The problem is first analyzed by applying group theoretical method, namely, one parameter group method. The invariance property of system of partial differential equations (PDEs) under one parameter group method transformations yields the weeny generators. By using the basic theorem of one parameter group method including invariance conditions, the set of PDEs is converted into ordinary differential equations (ODEs), and consequently, the number of independent variables is reduced into one variable. Afterwards, the resulting coupled nonlinear set of ODEs is numerically solved by introducing an efficient numerical technique that based upon common finite difference with central differencing, a tridiagonal matrix manipulation, and finally, an iterative procedure. A comparative graphical analysis of velocity, temperature profiles, skin friction coefficient and rate of heat transfer for blood‐Mn‐ZnFe2O4 magnetic fluid has been carried out for various physical parameters such as ferromagnetic interaction parameter and magnetic particles volume fraction etc. The important findings from the present investigation are that the temperature of blood is enhanced for larger values of magnetic particles volume fraction and more effectively than pure blood. It is also found that blood velocity is increased as the ferromagnetic number increases. The skin friction coefficient is enhanced 132.22%, and the rate of heat transfer is increased by 5.86% by the application of magnetic field; whereas for particles volume fraction, skin friction decreases about 0.61%, and rate of heat transfer declines about 4%. Additionally, this study also discloses that the application of group theoretical method is justified in biomagnetic fluid dynamics especially research on blood flow and heat transfer, where the blood flow significantly influenced by the ferromagnetic number. A comparison has been also performed, and the results are found in excellent agreement with previous published in literature. The present study could be considered for magnetic driving of biologically suitable magnetic particles filled with medicine. [ABSTRACT FROM AUTHOR]

The flow and heat characteristics of an unsteady, laminar biomagnetic fluid, namely blood containing Fe3O4 magnetic particles, under the influence of thermal radiation and a magnetic dipole over a cylinder with controlled boundary conditions using a group theory method are investigated in the present study. The mathematical formulation of the problem is constructed with the aid of biomagnetic fluid dynamics (BFD) which combines principles of ferrohydrodynamics (FHD) and magnetohydrodynamics (MHD). It is assumed that blood exhibits polarization as well as electrical conductivity. Additionally, the shape of the magnetic particles, namely cylindrical and spherical, is also considered. Moreover, in this model, a group theoretical transformation, namely a two-parameter group technique, is applied. By applying this group transformation, the governing system of partial differential equations (PDEs) along with applicable boundary conditions are reduced to one independent variable and, consequently, converted into a system of ordinary differential equations (ODEs) with suitable boundary conditions. An efficient numerical technique is applied to solve the resultant ODEs and this technique is based on three essential features, namely (i) a common finite differences method with central differencing, (ii) tridiagonal matrix manipulation and (iii) an iterative procedure. The flow and heat characteristics of blood-Fe3O4 are found to be dependent on some physical parameters such as the particle volume fraction, the ferromagnetic interaction parameter, the magnetic field parameter, and the thermal radiation parameter. An ample parametric study is accomplished to narrate the influences of such physical parameters on velocity, temperature distributions as well as the coefficient of skin friction and rate of heat transfer. From the numerical results, it is deduced that the fluid velocity is enhanced for the ferromagnetic number and the temperature profile is decreased as the ferromagnetic number is gradually increased. It is also obtained that for the cylindrical shape of magnetic particles, the fluid temperature is more enhanced than that of the spherical shape. Both the skin friction coefficient and the local Nusselt number are increased for increasing values of the ferromagnetic interaction parameter, where the heat transfer rate of blood-Fe3O4 is significantly increased by approximately 33.2% compared to that of pure blood, whereas the coefficient of skin friction is reduced by approximately 6.82%. [ABSTRACT FROM AUTHOR]

This investigated the time-dependent, two-dimensional biomagnetic fluid (blood) flow (BFD) over a stretching sheet under the action of a strong magnetic field. Blood is considered a homogeneous and Newtonian fluid, which behaves as an electrically conducting magnetic fluid that also exhibits magnetization. Thus, a full BFD formulation was considered by combining both the principles of magnetization and the Lorentz force, which arise in magnetohydrodynamics and ferrohydrodynamics. The non-linear governing equations were transformed by using the usual non-dimensional variables. The resulting system of partial differential equations was discretized by applying a basic explicit finite differences scheme. Moreover, the stability and convergence analysis were performed to obtain restrictions that were especially for the magnetic parameters, which are of crucial importance for this problem. The acquired results are shown graphically and were examined for several values of the dimensionless parameters. The flow and temperature distributions were increased as the values of the magnetic parameters were increased. With the progression in time, the flow profile and temperature distribution were also increased. It is hoped that the results of this problem will be used for high targeting efficiency toward determining the maximum values of magnetic field for which accurate flow predictions could be made using a very simple numerical scheme. [ABSTRACT FROM AUTHOR]