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The study of the stretching sheet has extensive applications in the field of engineering and technology. Hence, the objective of the present study is to deal with the impact of pertinent parameters on Williamson fluid across a stretchable nonlinear sheet when chemical reaction, varied thermal radiation, and heat source/sink are present. Partial differential equations are used to model the resulting scenario, and after adding the necessary similarity variables, a system of nonlinear ordinary differential equations is formed using flow equations. The reduced ODEs are tackled by applying the fourth-order RK-scheme together with shooting methodology, and the impacts of different system parameters are examined corresponding to the fluid’s velocity, energy, and concentration profile. The important findings are discussed using graphics and they are as follows: As magnetism increases, fluid velocity rises but falls with an increment in buoyancy; the temperature falls with a boost in Grashof number but rises with an inclination in Prandtl number; and fluid reaction concentration declines with the boost in chemical parameter and Schmidt number but rises with an increment in thermophoresis, heat source/sink, and Brownian motion parameter. [ABSTRACT FROM AUTHOR]

In this study, the stagnation point flow of a magnetized Williamson fluid past a stretching sheet in the presence of nonlinear thermal radiation and buoyancy effect is studied. The present situation is remodeled using similarity transformation that transforms the flow model of partial differential equations into the set of nonlinear ordinary differential equations. The fourth‐order Runge‐Kutta scheme and shooting method are employed to solve these reduced equations. The effects of various associated parameters over the velocity and temperature profiles are plotted and the outcome of each associated parameter is discussed through graphs. The key findings are noted as follows: the velocity profile declines with an increase in the magnetic force number, and an increment in buoyancy parameter leads to the increase in the boundary layer thickness and decrease in the thickness of the thermal boundary layer. [ABSTRACT FROM AUTHOR]

Buoyancy forces result from the cooling or heating of a continuous stretching sheet, which causes a change in the resulting flow and thermal fields, and hence the heat transfer behavior in the manufacturing process. The study of the thermal buoyancy induced in boundary layer flow is important due to its recent advances in the areas of nuclear energy, electronics, and space technology. In this perspective, the aim of the present study is to investigate the effect of the buoyancy parameter on the magnetohydrodynamics boundary layer flow over an exponentially stretched sheet in the presence of nonlinear thermal radiation and porous media. Using similarity transformation, the flow model of partial differential equations is transformed into a set of coupled nonlinear ordinary differential equations. The efficient fourth‐order Runge‐Kutta scheme with the shooting method is used to solve the reduced equations. The impact of various associated parameters on velocity and temperature profiles were analyzed and computed through graphs. The major outcome of the present study shows the enhancement in the velocity distribution with the increase in the buoyancy parameter. Also, the increase in thermal buoyancy and thermal radiation leads to an increase in fluid temperature. Moreover, it is worth to note that the fluid velocity declines with the augmentation of the magnetic parameter. [ABSTRACT FROM AUTHOR]