Heat and Mass Transfer of MHD Radiative Sisko Nanofluid with Temperature Dependent Thermal Conductivity and Molecular Diffusivity Past a Porous Stretching Sheet

A comprehensive investigation into the heat and mass transfer characteristics of MHD convective-radiative flow of Sisko nanofluid over a porous surface, incorporating the influence of thermal conductivity and molecular diffusivity varying with temperature has been analyzed in this study. The coupled partial differential equations are numerically solved utilizing the explicit finite difference method. Through extensive numerical computations, the behavior of velocity, temperature, and concentration fields is meticulously analyzed across a range of physical parameters, with results graphically explained. A detailed discussion, supported by graphical and tabular data, delineates the influence of parameters such as thermal viscosity( ), molecular diffusivity( ), magnetic parameter (M), porosity parameter (Da), Prandtl number (Pr), radiation parameter (R), thermal Grashof number (Gr​), mass Grashof number (Gc​),  Lewis number (Le), Schmidt number (Sc), thermophoresis parameter (Nt), Brownian motion parameter (Nb), Soret number (Sr), and heat source parameter (Q). The demonstrable effects of Sisko fluid parameters (A1,A2) on various flow fields are graphically depicted, alongside visualizations of the fluid flow through streamlines and isotherms. Furthermore, an extension of this research work, the underlying system of differential equations is methodically solved with the help of Haar Wavelet Collocation (HWCM) method and the result compared with the result applied EFDM method. Key observations include an increase in velocity profiles with elevated variable conductivity, mass Grashof number, and thermal Grashof number, contrasted with a decrease observed for increasing values of the Prandtl number,  magnetic parameter, radiation parameter, Lewis number, Schmidt number and first Sisko parameter. 

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