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Zbl 1228.76153
Vajravelu, K.; Prasad, K.V.; Rao, N.S.Prasanna
Diffusion of a chemically reactive species of a power-law fluid past a stretching surface. (English)
[J] Comput. Math. Appl. 62, No. 1, 93-108 (2011). ISSN 0898-1221

Summary: A numerical solution for the steady magnetohydrodynamic (MHD) non-Newtonian power-law fluid flow over a continuously moving surface with species concentration and chemical reaction has been obtained. The viscous flow is driven solely by the linearly stretching sheet, and the reactive species emitted from this sheet undergoes an isothermal and homogeneous one-stage reaction as it diffuses into the surrounding fluid. Using a similarity transformation, the governing non-linear partial differential equations are transformed into coupled nonlinear ordinary differential equations. The governing equations of the mathematical model show that the flow and mass transfer characteristics depend on six parameters, namely, the power-law index, the magnetic parameter, the local Grashof number with respect to species diffusion, the modified Schmidt number, the reaction rate parameter, and the wall concentration parameter. Numerical solutions for these coupled equations are obtained by the Keller-Box method, and the solutions obtained are presented through graphs and tables. The numerical results obtained reveal that the magnetic field significantly increases the magnitude of the skin friction, but slightly reduces the mass transfer rate. However, the surface mass transfer strongly depends on the modified Schmidt number and the reaction rate parameter; it increases with increasing values of these parameters. The results obtained reveal many interesting behaviors that warrant further study of the equations related to non-Newtonian fluid phenomena, especially shear-thinning phenomena. Shear thinning reduces the wall shear stress.

MSC 2000:: *76R50 Diffusion
65L12 Finite difference methods for ODE
76V05 Interacting phases (fluid mechanics)

Keywords: reactive species; magnetic field; power-law fluid; stretching sheet; modified Schmidt number; sherwood number

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