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This study implements the comparative study of Casson and Williamson nanofluids by considering the impacts of linear thermal radiation and inclined magnetohydrodynamics. Here, we employ graphs to compare the variables affecting the behavior of non‐Newtonian and Newtonian fluids for a range of physical and dimensionless parameter values. The flow's coupled equations, which contain multiple independent variables, these equations can then be changed into a single independent variable by adding similarity variables and can be solved by applying the shooting method. The effects of thermomigration and Brownian motion on nonlinear flow equations are graphically examined. For an array of radiation parameter values, we have observed that the Newtonian fluid's concentration is lesser than that of both the non‐Newtonian fluids and also noticed that Newtonian fluids converge a little sooner than Casson and Williamson fluids. The primary innovation is shown in Table 1, where the mass transfer and heat transfer values are contrasted with the limiting circumstances of previous research findings that are documented in the literature. [ABSTRACT FROM AUTHOR]

The primary aim of the study is to offer a precise analysis of the impact of the radiation parameter and Soret number on the magneto hydrodynamic (MHD) free convective flow of an incompressible, electrically conducting viscous fluid (IECVF) over an inclined plate immersed in a porous material (IPIPM). The impulsively started plate with changing mass diffusion and temperature is taken into account. Perturbation technique is applied to solve the non-dimensional momentum equation along with the energy diffusion and mass diffusion equations. Equations are found for the fields of velocity (u), temperature (θ) and concentration (φ). Expressions are obtained for skin friction (SF), Nusselt number (Nu) and Sherwood number (Sh). The graphical representations of the outcomes of various parameters on 'u, 'θ', and 'φ' and on SF, Nu and Sh are drawn, to highlight their effects. [ABSTRACT FROM AUTHOR]

The current research analyzes Soret and Dufour effects on magneto hydrodynamic natural convection viscous-elastic radiative Casson fluid flow across a non-linear stretchy sheet. First, the PDEs (partial differential equations) are changed using similarity analysis into non-linear paired ODEs (ordinary differential equations). Then, using the BVP4C technique, ordinary differential equations are numerically solved. Engineering interest of substantial quantities like skin-friction coefficient, Nusselt parameter, and Sherwood parameter debated in the table with multiple significant characteristics. The current study describes that the temperature profile increases with rising thermal radiation and the Dufour effect. A declining Sherwood impression of Soret number is depicts in current study. An increasing radiation impact declines the Nusselt number. In addition, the concentration field enhances due to an increasing Soret effect. [ABSTRACT FROM AUTHOR]

In this present article, we analyzed the nonlinear unsteady MHD flow of viscous, incompressible and electrically conducting fluid past a vertical porous channel under the influence of thermal radiation and chemical reaction. The transformed conservation equations are solved analytically subject to physically appropriate boundary conditions by using two term perturbation technique. The influence of a number of emerging non-dimensional parameters namely, Magnetic parameter, Prandtl number, Chemical reaction parameter, Thermal radiation parameter and Schmidt number examined in detail. Furthermore, the influence of these parameters on heat transfer rate and skin friction is also investigated. It is observed that the velocity is decreased with increasing chemical reaction parameter. Increasing rarefaction parameter increases the velocity and but increasing suction parameter decreases the velocity. The study is relevant to chemical materials processing applications. [ABSTRACT FROM AUTHOR]