Numerical simulation of flow of a micropolar fluid between a porous disk and a non-porous disk

Abstract

a b s t r a c tTwo dimensional steady, laminar and incompressible motion of a micropolar fluid between an impermeable disk and a permeable disk is considered to investigate the influence of the Reynolds number and the micropolar structure on the flow characteristics. The main flow stream is superimposed by constant injection velocity at the porous disk. An extension of Von Karman's similarity transformations is applied to reduce governing partial differential equations (PDEs) to a set of non-linear 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. The numerical results reflect the expected physical behavior of the flow phenomenon under consideration. The study indicates that the magnitude of shear stress increases strictly and indefinitely at the impermeable disk while it decreases steadily at the permeable disk, by increasing the injection velocity. Moreover, the micropolar fluids reduce the skin friction as compared to the Newtonian fluids. The magnitude of microrotation increases with increasing the magnitude of R and the micropolar parameters. The present results are in excellent comparison with the available literature results.

Numerical Solution of MHD Flow of Micropolar Fluid with Heat and Mass Transfer towards a Stagnation Point on a Vertical Plate

“…be the interval over which we want to find the solution of the initial-value problem (24). In actual applications of the DTM, the approximate solution of the initial value problem (24) can be expressed by the following finite series:…”

“…To solve these coupled equations, we use a finite difference based numerical algorithm. Following Ashraf et al [24], we reduce the order of Equation (12) by one with the help of the substitution:…”

Numerical simulation of unsteady water-based nanofluid flow and heat transfer between two orthogonally moving porous coaxial disks

“…We use a similarity transformation to reduce the governing partial differential equations to a set of nonlinear coupled ordinary differential equations in the dimensionless form, which are numerically solved by employing an algorithm based on the quasi-linearization and finite difference discretization. The ease in obtaining the numerical solution using this technique makes it superior than the shooting like approach used in our earlier investigations (Ashraf et al, 2009;Ashraf and Wehgal (2012). The effects of the governing parameters on the flow and heat transfer aspects of the problem are discussed.…”

Numerical simulation of flow and heat transfer in hydromagnetic micropolar fluid between two stretchable disks with viscous dissipation effects

“…Micropolar fluids have applications in colloidal fluids flow, blood flows, dumbbell molecules or short rigid cylindrical elements, liquid crystals, lubricants, turbulent shear flow and flow in capillaries, fluid suspensions, animal blood, fluid with bar like elements, heat and mass exchangers, etc. The steady laminar incompressible flow of a micropolar fluid between two parallel disks in which the lower disk is taken to be impermeable while the upper one is permeable was discussed numerically by Ashraf et al (2009a). The magnetohydrodynamics (MHD) has attracted the research community due to its novel industrial applications.…”