Abstract
This article is concerned with the fluid mechanics of MHD steady 2D flow of Williamson fluid over a nonlinear stretching curved surface in conjunction with homogeneous-heterogeneous reactions with convective boundary conditions. An effective similarity transformation is considered that switches the nonlinear partial differential equations riveted to ordinary differential equations. The governing nonlinear coupled differential equations are solved by using MATLAB bvp4c code. The physical features of nondimensional Williamson fluid parameter λ , power-law stretching index m , curvature parameter K , Schmidt number Sc , magnetic field parameter M , Prandtl number Pr , homogeneous reaction strength k 1 , heterogeneous reaction strength k 2 , and Biot number γ are presented through the graphs. The tabulated form of results is obtained for the skin friction coefficient. It is noted that both the homogeneous and heterogeneous reaction strengths reduced the concentration profile.
Highlights
From the last two decades, several investigators have focused on non-Newtonian fluid across nonlinear and linear stretching of a plate, flat surface, cylinder, or disk [12,13,14,15,16]
In Williamson fluid flow problem, researchers [33,34,35,36,37,38,39] used different similarity transformations to change governing nonlinear partial differential equations into ordinary differential equations. e literature survey shows that the Williamson fluid model is more effective than other models for studying pseudoplastic fluid, but the researcher studied locally similar Williamson fluid parameter. e MHD Williamson fluid flow across a curved surface with convective boundary condition and h-h reactions is not studied until now
Anappropriate similarity transformation [20, 27] is used to convert governing PDEs to ODEs.By fixing the value of nonlinear index parameterm = 1/3,which provides an entirely similar Williamson fluid parameter. e impact of different parameters, i.e., curvature parameter K, nondimensional Williamson fluid parameter λ, Biot number c, magnetic field parameter M, Schmidt number Sc, Prandtl number Pr, homogeneous reaction strength k1, heterogeneous reaction strength k2, power-law stretching index m on velocity, pressure, temperature, and concentration profiles, is presented through the graphs, whereas the results of skin friction coefficient and Nusselt number are depicted in a tabulated form
Summary
From the last two decades, several investigators have focused on non-Newtonian fluid across nonlinear and linear stretching of a plate, flat surface, cylinder, or disk [12,13,14,15,16]. E effect of h-h reactions on boundary layer flow across a nonlinear stretching curved surface with convective boundary conditions is studied by Saif et al [27]. Sreedevi et al [32] implemented the FEM to examine the impact of h-h reactions on Maxwell nanofluid with heat and mass transfer flow over a horizontal stretched cylinder. In Williamson fluid flow problem, researchers [33,34,35,36,37,38,39] used different similarity transformations to change governing nonlinear partial differential equations into ordinary differential equations. E MHD Williamson fluid flow across a curved surface with convective boundary condition and h-h reactions is not studied until now. E objective of this study is to examine the effect of h-h reactions with convective boundary conditions on MHD Williamson fluid over a curved surface.
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