Effect of Gravitational Acceleration on Unsteady Biomagnetic Fluid Flow

Abstract

This paper investigates the effect of gravitational acceleration on unsteady biomagnetic fluid flow in a channel under the influence of a spatially varying magnetic field. The study on biomagnetic fluid under the action of an applied magnetic field is important in the development of Biomagnetic Fluid Dynamics (BFD). Most existing studies analyze flows in steady state conditions and the effect of gravitational acceleration has not been addressed. For the mathematical model, the Navier-Stokes equations, energy equation and an additional term that describes the magnetic force and gravitational effect which is consistent with the principles of ferrohydrodynamics (FHD) are employed. The nonlinear governing differential equations are non-dimensionalized and then discretized based on a finite difference technique on a staggered grid system. The solution of these problems is obtained numerically using pressure correction method with SIMPLE algorithm. For a range of governing parameters such as the magnetic number Mn F and Richardson number Ri, the numerical results show that the gravitational acceleration has a profound effect on both velocity and temperature profiles. The streamlines plotted also show that vortices appear near the lower plate where the magnetic source is located.

Computational modeling of geometry effects on the IDL surface concentration in the presence of non-uniform magnetic field – links to atherosclerosis

“…So FHD and MHD principles have been considered in the BFD model. The vortex is seen in the area of application of the magnetic field [50]. As well, this figure exhibits distribution of pressure in place where magnetic field is applied.…”

“…Obviously, WSS is the most important of the hemodynamic parameters in the blood flow [50]. The relationship between WSS and LSC demonstrates that the LDL is upgraded at locations where WSS is low.…”

Convective Flow of Blood in Square and Circular Cavities

“…They compared MHD (Magnetohydrodynamics) and FHD (Ferrohydrodynamics) analysis of the flow which are obtained by a commercial software. The gravitational acceleration effect on the flow and heat transfer of blood flow between parallel plates is studied by Idris et al [12] using a finite difference method. The Dual Reciprocity Boundary Element Method (DRBEM) is essentially a generalized way of constructing particular solutions to the inhomogeneity of the differential equation that can be used to solve non-linear and time dependent problems [13].…”