A FEM approach to biomagnetic fluid flow in multiple stenosed channels

Numerical Solution of Biomagnetic Power-Law Fluid Flow and Heat Transfer in a Channel

“…Equation 18is then discsretised using second order central difference, and substituting the relations from Equations (35) and (36), the boundary conditions for the vorticity on the lower and upper walls are then proved to be [33]…”

“…In addition, ferrofluid can exhibit non-Newtonian behaviour [26][27][28][29]. However, most of the available works reported only on the effect of FHD on Newtonian fluid [2,23,[30][31][32][33][34][35][36][37][38][39][40][41][42][43]. Even if the magnetic field effect is included in power-law fluid flow, the works only used magnetic field effect of MHD [44][45][46][47][48][49].…”

“…Biomagnetic fluid flow in stenosed channel has been studied by Tzirtzilakis [33], Xenos and Tzirtzilakis [34], and Türk et al [35]. Türk et al [36] studied the biomagnetic fluid flow in a channel with multiple stenoses. Flow in aneurysm channel has been studied by Tzirtzilakis [37], and recently by Sharifi et al [38] on drug targeting using magnetic particles.…”

“…FDM central difference has also been used in [48]. In [44,45], finite difference lattice Boltzmann method (FDLBM) is used, while in [35,36] finite element method (FEM) has been applied. In [42,43], dual reciprocity boundary element method (DRBEM) has been used.…”

Recent progress on the simulation technology of magnetic fluid

“…Tzirtzilakis [87] 拓展了生物磁流体模型, 引入了弱导电性和 能量输运, 为后续研究奠定了理论基础. Türk等人 [88] 采用有限元法, 首次模拟了生物磁流体在多种复杂 [88] ; (b) 不同Mason数下的热磁对流温 度场、流场分布 [12] Figure 9 (Color online) Simulation results of biomagnetic fluid. (a) Streamlines, vorticity contours and isotherms of biomagnetic fluid in a stenosed channel [88] ; (b) isotherms and streamlines of thermomagnetic convection for different Mason numbers [12] 应的影响还鲜有研究.…”