Numerical simulation of flow of micropolar fluids in a channel with a porous wall

Abstract

SUMMARYTwo-dimensional steady, laminar, and incompressible flow of a micropolar fluid in a channel with no-slip at one wall and constant uniform injection through the other wall is considered for different values of the Reynolds number R. The main flow stream is superimposed by constant injection velocity at the porous wall. The micropolar model introduced by Eringen is used to describe the working fluid. An extension of Berman's similarity transformations is used to reduce governing equations to a set of nonlinear coupled ordinary differential equations (ODEs) in dimensionless form. An algorithm based on finite difference method is employed to solve these ODEs and Richardson's extrapolation is used to obtain higher order accuracy. It has been found that the magnitude of shear stress increases strictly at the impermeable wall whereas it decreases steadily at the permeable wall, by increasing the injection velocity. The maximum value of streamwise velocity and that of the microrotation both increase with increasing the magnitude of R.

Numerical Study of Lorentz Force Interaction with Micro Structure in Channel Flow

“…The diverse values of micropolar material constants are given in Table 2. The first case (see Table 2) where all values of material parameters are taken as zero represents the Newtonian case, whereas the remaining values are randomly chosen to determine their impacts on the flow [54,55]. The combined impact of C 1 , C 2 and C 3 is to devaluate the skin friction and enhance the couple stresses, whereas the joint effect of these parameters causes a reduction in the heat transport rate on the lower wall and escalation on the upper permeable wall.…”

Squeezing flow analysis of MHD micropolar fluid on radial and angular velocity: A semianalytical approach

“…Ahraf et al investigated on the flow of such fluids between in both porous and nonporous disks and for the solution, they used numerical techniques. They also studied flow through channels in porous walls in their investigations …”

“…They also studied flow through channels in porous walls in their investigations. 3 Chamkha 4 studied the effect of solutal reactants on an electrically conducting microploar fluid over a moving vertical surface. Incompressible viscous fluid flow for the effect of heat and mass transfer on a stretching surface has been studied by Kandasamy et al 5 In their discussion, they have taken care of the effects of a chemical reaction and thermal stratification.…”