South African Journal of Chemical Engineering (Jan 2024)
Fourier's and Fick's laws analysis of couple stress MHD sodium alginate based Casson tetra hybrid nanofluid along with porous medium and two parallel plates
Abstract
Scientists from around the world are engaged in the investigation of non-Newtonian fluids containing both mono and dihybrid nanoparticles. The primary aim is to gain a deeper understanding of the heat transfer properties of these fluids, with potential implications for treating various physical phenomena. Specifically, researchers are focusing on the effects of unique tetra hybrid Tiwari and Das nanofluid models on the flow. By delving into the intricate behavior of fluids containing numerous nanoparticles, the researchers aim to explore the applications of these fluids. One aspect of this investigation is an examination of the flow of a Sodium Alginate (SA)-based Casson tetra hybrid nanofluid through a porous medium and between two parallel plates, taking into consideration the influence of couple stress. This particular exploration adds to the comprehensive understanding of these unique fluids and their potential application in medical and engineering contexts. The motion W0H(t)cos(wt) of the plate at rest of plate drives the flow, whereas the plate at y = d remains motionless. Physical phenomena are described using partial differential equations, which are then dimensionless by using variables with no dimensions. By utilizing Fourier's and Fick's equations, the conventional model has been enhanced to incorporate a time fractional model, which provides a dimensionally stable solution. One can effectively solve the generalized fractional model by utilizing the powerful techniques of the Fourier and Laplace integral transforms. These methods allow us to simplify complex equations and enable us to analyze and solve them with greater ease. The Casson parameter, coupling stress parameter, porosity parameter, and magnetic parameter's parametric effects are also studied. The values for Grashof, Schmidt, and Prandtl are shown in a table format. Skin friction, heat conduction, and Sherwood numbers are all computed and summarized. Based on the findings of the graphics, it can be concluded that the fractional Casson fluid model described a more accurate aspect of the fluid velocity profile, temperature profile, rate of skin friction and heat transfer than the conventional Casson fluid model.
