Comprehensive analysis of magnetized second-grade nanofluid via Fourier's and Cataneo-Christove models past a curved surface

This study presents the computer simulations of the magnetized effects of Cattaneo-Christov double diffusion models on the heat and mass transport behavior of a second-grade nanofluid flowing in two dimensions across a curved stretching and shrinking surface. Moreover, the features of convective heat transfer, slip velocity, viscous dissipation, porosity, and heat source/sink with a chemical reaction are also used. Considering the concentration and thermal relaxation times, the classical models of heat and mass diffusion (Fourier and Fick's laws) are extended to the generalized form in regard to the double diffusion Cattaneo-Christov models. Evaluating the current physical study including the Lorentz forces allows us to better understand how the magnetic field affects the process of double diffusion coupled with Joule heating. The system of highly nonlinear, two-dimensional, coupled partial differential equations caused by the moment of second-grade fluid across a curved sheet is solved using the bvp4c scheme. The key findings proves that the concentration and temperature of classical Fourier and Fick's law causes to rise faster than that of Cattaneo-Christov heat and mass flux model respectively as well as the concentration and temperature of Newtonian fluid causes to rise faster than that of second grade nanofluid. The generalized Fourier and Fick's law respectively generate greater heat and mass transport than the classical Fourier and Fick's law as well as the second-grade nanofluid generate greater heat and mass transport than the Newtonian fluid.