On the Generalized Fick’s and Fourier’s Laws for an Unsteady Casson-Williamson Fluids Over a Stretching Surface: A Spectral Approach

Abstract

In this comparative examination, the paradox of mass diffusion and heat conduction on the improved surface of weakly hydromagnetic and unsteady fluid flow is examined. Material relaxation time is believed to be one of the contributing factors militating against an effective heat and mass transfer. This flow process is estimated to predict accurately the fluids enhancement and condensation/evaporation properties. With a workable similarity variable, the formulated model of modified Fick’s and Fourier’s laws assumed in the Riga surface-induced flow conveying Casson-Williamson fluids with variable transport properties are transformed to the systems of ordinary differential equations. The spectral iterative technique (SLLM in particular), thus employed to analyze the flow distributions and ascertain the validity of the obtained results. However, cohesion force between the fluid particle establishes abnormalities of both Fick’s and Fourier’s laws indicating that extra time will be required for effective mass and heat convection to the immediate environment. Generalized heat flux parameter minimizes the fluid temperature and accelerated the nanoparticle concentration, relative minimization of the fluid temperature resulted to much more nanoparticle concentration. Moreover, Williamson fluid demonstrated a higher conductivity/diffusivity capacity in constract to the Casson fluid. When compared to Casson fluid, the modified Hartman number has a stronger influence on Williamson fluid.