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EN
The present study used a simplified axisymmetric biomagnetic fluid dynamics and porous mediamodel which includes FHD (Ferrohydrodynamics), porosity and inertia effects saturated by magnetic dipole to study the influences of the leading parameters on various flow variables along a flat plate.The governing equations are simplified and solved by finite difference approach. We clarify how the ferromagnetic interaction parameter, B and porosity,ε assumptions contribute in the bio-background of the problem of interest. Moreover, from the results of the flow profiles, accelerating and decelerating phenomena are noticed for B, and ε interaction.
EN
This paper investigates duality solutions of biomagnetic fluid flow and heat transfer over a permeable quadratically stretching /shrinking sheet in the presence of a magnetic dipole. The governing nonlinear partial differential equations are converted into a set of nonlinear ordinary differential equations with the help of suitable similarity transformations and then solved numerically by using the boundary value problem solver bvp4c built in MATLAB software. We examine the effects of a variety of pertinent parameters - the ferromagnetic parameter, suction parameter, stretching/shrinking parameter - on velocity and temperature profiles, as well as the skin friction coefficient and Nusselt number, which are presented graphically. Dual solutions exist for certain values of stretching/shrinking sheet and suction parameters. The skin friction coefficient data are evaluated and compared with previous published data and better agreement is achieved. Therefore, it can be said with confidence that our present analysis is accurate. It also shows that the ferromagnetic and stretched parameters result in reduced velocity and thereby influence the temperature profile.
EN
This study examines the influence of thermal radiation on biomagnetic fluid, namelyblood that passes through a two-dimensional stretching sheet in the presence of magneticdipole. This analysis is conducted to observe the behavior of blood flow for an unsteadycase, which will help in developing new solutions to treat diseases and disorders related tohuman body. Our model is namely biomagnetic fluid dynamics (BFD), which is consistentwith two principles: ferrohydrodynamic (FHD) and magnetohydrodynamic (MHD), whereblood is treated as electrically conductive. It is assumed that the implemented magneticfield is sufficiently strong to saturate the ferrofluid, and the variation of magnetization withtemperature may be approximated with the aid of a function of temperature distinction.The governing partial differential equations (PDEs) converted into ordinary differentialequations (ODEs) using similarity transformation and numerical results are thus obtainedby using the bvp4c function technique in MATLAB software with considering applicableboundary conditions. With the help of graphs, we discuss the impact of various param-eters, namely radiation parameter, unsteady parameter, permeability parameter, suctionparameter, magnetic field parameter, ferromagnetic parameter, Prandtl number, velocityand thermal slip parameter on fluid (blood) flow and heat transfer in the boundary layer.The rate of heat transfer and skin friction coefficient is also computationally obtained forthe requirement of this study. The fluid velocity decreases with increasing values of themagnetic parameter, ferromagnetic interaction parameter, radiation parameter whereastemperature profile increases for the unsteady parameter, Prandtl number, and permeability parameter. From the analysis, it is also observed that the skin friction coefficientdecreases and the rate of heat transfer increases respectively with increasing values ofthe ferromagnetic interaction parameter. The most important part of the present analy-sis is that we neither neglect the magnetization nor electrical conductivity of the bloodthroughout this study. To make the results more feasible, they are compared with thedata previously published in the literature and found to be in good accuracy.
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