Rotation and heat convection effects on double-diffusive peristaltic MHD Sisko nanofluid flow through a porous medium in presence of non-linear thermal radiation, heat generation/absorption, and Joule heating

Abstract

This article includes a numerical study of the double-diffusive peristaltic flow of a non-Newtonian Sisko nanofluid through a porous medium inside a horizontal symmetric flexible channel under the influence of Joule heating, nonlinear thermal radiation, viscous dissipation, and heat generation/absorption in presence of heat and mass convection, considering effects of the Brownian motion and the thermophoresis coefficients. On the other side, the long wave approximation was used to transform the nonlinear system of partial differential equations into the nonlinear system of ordinary differential equations which were later solved numerically using the fourth-order Runge-Kutta method with shooting technique using MATLAB program code. The effects of all physical parameters resulting from this study on the distributions of velocity, temperature, solutal concentration, and nanoparticles volume fraction inside the fluid were studied in addition to, a study of the pressure gradients using the 2D and 3D graphs that were made by the MATLAB program in addition to, studying the impact of some parameters on the behavior of the streamlines graphically within the channel with a mention of their physical meaning. Finally, some of the results of this study showed that the effect of Darcy number 𝐷𝑎 and the magnetic field parameter 𝑀 is opposite to the effect of the rotation parameter 𝛺 on the velocity distribution whereas, the two parameters non-linear thermal radiation𝑅and the ratio temperature 𝜃𝑤works on a decrease in the temperature distribution and an increase in both the solutal concentration distribution and the nanoparticle's volume fraction. On the other hand, the effect of the rotation parameter 𝛺 on the distribution of pressure gradients was positive, and the effect of both Darcy number 𝐷𝑎 and the magnetic field parameter 𝑀on the same distribution was negative.