Comparative analysis of Al₂O₃-47 nm and Al₂O₃-36 nm hybrid nanoparticles in a symmetric porous peristaltic channel

This study explores the flow of $47nm$ and $36nm$ size alumina-water nanoparticles in a symmetric porous peristaltic channel. Considered flow situation is modelled via magnetohydrodynamics (MHD), porous medium, linear radiation, dissipation due to viscosity, Joule heating and heat generation assumptions. Propagating channel walls contains the first order momentum and thermal slip aspects. Entropy is modelled using the thermodynamics second law. Here different effective viscosity models are introduced for $47nm$ and $36nm$ size alumina-water particles respectively. Lubrication theory is utilized here to simplify the dimensionless system. Numerical solution through built-in procedure is attained for coupled system of equation with respective boundary constraints. This numerical procedure gives the result of each flow quantity in the form of graphs for involved parameters. Further graphical results predicts that due to porous characteristics of walls secondary velocity decreases. Pressure gradient rises for higher magnetic parameter. All the plots of present analysis emphasized that $36nm$ size alumina nanoparticles are more effective than the $47nm$ size alumina nanoparticle. (paper)