Thermal and multilayer analysis of magnetised dusty fluids under electroosmosis and pressure-driven effects in a microchannel

The study of an immiscible fluid flow models is complex in nature and it has crucial applications in engineering and industry, such as powder technology, dust assortment, dust in gas cooling systems, retrieval of crude oil, waste water treatment, sedimentation process and nuclear reactors. Therefore, the current study deals with the steady flow of two immiscible dusty Newtonian and Casson fluids in a horizontal porous microchannel. The effect of magnetic field, electroosmotic forces, thermal radiation, viscous dissipation, Joule heating and chemical reactions have been considered into account. Initially, the flow model is considered with the well-known set of partial differential equations. Under the assumptions and non-dimensional quantities, the coupled governing differential equations have been transmuted to the non-dimensional ordinary differential equations. The exact solutions for the velocity, temperature and concentration of the fluid and dusty phases have been obtained in both the regions. The behaviour of non-dimensional emerging constraints on the flow, thermal and mass characteristics have been expressed through graphical representations. It is noticed that the dust particles volume fraction enhances the dusty Newtonian fluid as well as the dusty Casson fluid temperature. Escalating the values of Schmidt number declines the concentration profile of Newtonian and non-Newtonian dusty fluids. © 2023 Informa UK Limited, trading as Taylor & Francis Group.