Abstract
Abstract The effects of a homogeneous-heterogeneous reaction on steady micropolar fluid flow from a permeable stretching or shrinking sheet in a porous medium are numerically investigated in this paper. The model developed by Chaudhary and Merkin (Fluid Dyn. Res. 16:311-333, 1995) for a homogeneous-heterogeneous reaction in boundary layer flow with equal diffusivities for reactant and autocatalysis is used and extended in this study. The uniqueness of this problem lies in the fact that the solutions are possible for all values of the stretching parameter λ > 0 , while for λ < 0 (shrinking surface), solutions are possible only for a limited range of values. The effects of physical and fluid parameters such as the stretching parameter, micropolar parameter, permeability parameter, Schmidt number, strength of homogeneous and heterogeneous reaction parameter on the skin friction, velocity and concentration are analyzed, and these results are presented through graphs. The solute concentration at the surface is found to decrease with the strength of the homogeneous reaction, and to increase with heterogeneous reactions, the permeability parameter and stretching or shrinking parameters. The velocity at the surface was found to increase with the micropolar parameter.
Highlights
Micropolar fluids are fluids with internal structures in which coupling between the spin of each particle and the microscope velocity field is taken into account
We compare our results for a stretching sheet with those reported by Wang [ ], Ishak et al [ ] and Rosali et al [ ] in Table ; and for the shrinking sheet, we compare our results with those reported by Rosali et al [ ] in Table
0.92623122 obtained for all values of λ, while for the case of a shrinking surface (λ < ), the governing equations have the solution only in the range of λ > λc, where λc is a critical value of λ, which depends on the other parameter, and we have no solution for λ < λc
Summary
Micropolar fluids are fluids with internal structures in which coupling between the spin of each particle and the microscope velocity field is taken into account. They represent fluids consisting of rigid, randomly oriented or spherical particles suspended in a viscous medium, where the deformation of fluid particles is ignored. Micropolar fluid theory was introduced by Eringen [ ] in order to describe physical systems, which do not satisfy the Navier-Stokes equations. The essence of the theory of micropolar fluid lies in particle suspension (Hudimoto and Tokuoka [ ]), liquid crystals (Lockwood et al [ ]); animal blood (Ariman et al [ ]), exotic lubricants (Erigen [ ]), etc
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