Exploration of generalized two-phase free convection magnetohydrodynamic flow of dusty tetra-hybrid Casson nanofluid between parallel microplates

Abstract Dusty Casson fluids and tetra-hybrid nanofluids are complex phenomena that find their extensive uses in engineering industrial applications. For instance, dusty used gas-freezing systems nuclear power reactors. The main objective of this article is to focus on the characterization generalized two-phase free convection magnetohydrodynamic flow nanofluid among parallel microplates: fluid exhibit movement electrical conductivity. Caputo–Fabrizio fractional derivative recently discovered generalizes partial differential equations governing flow. Highly accurate temperature velocity distributions can be obtained using finite sine Fourier Laplace transform together. This study examines relationships between temperature, dust particle velocity, along with effects magnetic parameter, Grashof number, Peclet Reynold mass parameter. Mathcad-15 software provides Casson, dusty, profiles graphically. Nusselt number skin friction also examined for nanofluid. model more than classical terms heat transfer, friction. Graphical results conclude describes a realistic aspect both (fluid particle) velocities profiles, transfer rate, model. Furthermore, rate enhanced from 0 39.3111%