Numerical Simulation of MHD Fluid Flow inside Constricted Channels using Lattice Boltzmann Method

Abstract

In this study, the electrically conducting fluid flow inside a channel with local symmetric constrictions, in the presence of a uniform transverse magnetic field is investigated using Lattice Boltzmann Method (LBM). To simulate Magnetohydrodynamics (MHD) flow, the extended model of D2Q9 for MHD has been used. In this model, the magnetic induction equation is solved in a similar manner to hydrodynamic flow field which is easy for programming. This extended model has a capability of simultaneously solving both magnetic and hydrodynamic fields; so that, it is possible to simulate MHD flow for various magnetic Reynolds number (Rem). Moreover, the effects of Rem on the flow characteristics are investigated. It is observed that, an increase in Rem, while keeping the Hartman number (Ha) constant, can control the separation zone; furthermore, comparing to increasing Ha, it doesn't result in a significant pressure drop along the channel.

A parametric investigation of blood flow in a wedge with non‐uniform viscosity and wall friction

“…Additionally, here we deal with steady state process whereas there are also studies that concerns with transient effects. [50,51] However, excluding some points of distinction these assumptions are still valid and are well supported by literature. [52] Some other limited configurations like vertical channel [53] and even different cross section channels [54] have shown similar velocity behavior in the qualitative aspect.…”

“…According to Equation (2), the Newtonian profile velocity at = 0 is decreasing with the radial distance increase which is consistent with the literature qualitative results. [5,45,[47][48][49]51,54] Similarly, was found to decrease with direction for any value as shown in Figure 4(a). Additionally, an examination of the radial flow limitations (critical angle) is presented (where velocity reaches to negative value) in Figure 4(b).…”

“…The idea of using viscosity distribution function as appears in (25) is due to the theoretical and experimental results of blood viscosity behavior that obtained by Cerny and Walawender [4] and Pontrelli [44] and many others [39][40][41][42][43][44][45][46][47][48][49][50][51][52][53][54] as appear in…”

“…Analytic analysis will be performed for small and high semi-wedge angles with various friction coefficients. The results will be compared qualitatively with the available literature data information [44][45][46][47][48][49][50][51][52][53][54] and hopefully, contribute to the biomed and polymer scientific areas.…”

Numerical Study for the Effects of Temperature Dependent Viscosity Flow of Non-Newtonian Fluid with Double Stratification

“…Zeb et al [7] studied the effect of thermal radiation and slip boundary condition on time dependent fluid flow over a stretching sheet along with variable thermal conductivity. Ghahderijani et al [8] using the numerical solution of magnetohydrodynamics flow inside the Constricted Channels with local symmetric constrictions. Karimipour et al [9] investigated the numerical solution of laminar MHD forced convection flow of carbon nanofluid in the microchannels with uniform heat flux.…”