Abstract
In this article numerical analysis of incompressible, two dimensional and mixed convective MHD Casson fluid flows over a stretching surface with porosity under the influence of radiation and chemical reaction as well as viscous dissipation considered. By utilizing suitable similarity analysis, the governing PDEs (Partial differential equations) with its respective boundary conditions were transformed to dimensionless forms. The resulting ODEs (Ordinary differential equations) along with corresponding boundary conditions were solved via shooting technique combined with Runge-kutta-Fehlberg method. The outcomes of this study illuminates that velocity, temperature and concentration fields decreases due to the thickness of the boundary layer as we go away from the stretching sheet surface and falling of velocity observed in Casson fluid parameter. Under some restriction the resultant outcome were compared with previous published results and is found in admirable agreement.
Highlights
Depends on viscosity the ratio of shear stress with the rate of strain inside the fluid can be categorized as linear, nonlinear or plastic
While in case of non-Newtonian the shear stress is nonlinearly proportional to the rate of strain, here the constant coefficient doesn’t defined as even it is reliant on time
Ec, γ,Le, Bi, K represent the parameters of magnetic, suction, radiation, velocity slip, Prandtl number, Brownian motion, thermophoresis, Eckert number, Lewis number, chemical rate, Biot cases in suction and injection, it is clear that for rising values of magnetic field parameter (M), the velocity profiles decreases
Summary
Depends on viscosity the ratio of shear stress with the rate of strain inside the fluid can be categorized as linear, nonlinear or plastic. [1] discussed the effects of chemical reaction on boundary layer flow upon a stretching sheet along with viscous dissipation. Reddy et al [7] analyzed the impact of radiation and heat generation on MHD boundary layer fluid flow over a stretching porous surface through porous medium with mass. Shateyi et al [14] explained the free convection of combined heat and mass transfer effects toward an unsteady stretching porous sheet along with radiation, viscous dissipation and chemical reaction. The main objective of the present study is to analyze the effect of MHD Casson boundary layer nanofluid flow upon a stretching porous sheet in the existence of radiation, chemical reaction along with viscous dissipation. The governing PDEs transformed to ODEs the resulting ODEs are solved by shooting technique along with Rungekutta-Fehlberg method
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