Numerical Analysis of Hybrid Nanomaterial fluid flow with Dust Particles over a Permeable Vertical Wedge

This study investigates the magnetohydrodynamics and fluctuating mixing convection of hybrid nanofluid flows containing dusty fluids in a permeable vertical wedge. A mathematical model based on the concept of fluid flow was developed. The model uses the boundary layer approximation to simplify the partial differential equations. Using appropriate transformations, this set of differential equations is converted into a general system of differential equations. We used the method of obstacles and the bvp4c approach to solve the obtained nonlinear dimensionless differential equations. We worked out to gain results of all values of non dimensional space variable ξ and small values of ξ. The effects of involving physical significant parameters are highlighted by graphs. As the Richardson number increases, both the friction coefficient and the Nusselt number increase. This behavior demonstrates the complex interplay between buoyancy and momentum/heat transfer in the flow. Skin friction and Nusselt number declined due to increasing values of thermal slip (thermal slip). In summary, increased thermal slip affects fluid–solid surface interactions, resulting in lower skin friction (less resistance to fluid flow) and lower Nüssel number (reduced convective heat transfer).