Modeling of three dimensional Prandtl hybrid nano-material over a heated rotating cone involving hall and ion slip currents via finite element procedure

Flow in a rotating cone for magnetized Prandtl fluid model is inspected in this investigation. The momentum equation of Prandtl model is derived under the consideration of Hall and ion slip effects and heat transport phenomenon is considered with Joule heating and viscous dissipation effects. The model of Hamilton Crosser and Yamada Ota are considered for the empirical relations of nanofluid mixture. The flow presenting expression of Prandtl fluid model with thermal transport is modeled under boundary layer approximation in the form of partial differential equations (PDEs). The derived PDEs have been converted into set of coupled nonlinear ordinary differential equations (ODEs) by engaging an appropriate scaling group transformation and these converted nonlinear set of ODEs have been tackled numerically via finite element scheme (FES). Impact of different emerging parameters has been displayed graphically and the physics behind the observed phenomena is explained in detail. The convergence of FES is established by carrying the grid independent survey. From the performed investigation, it is recorded that the parameters appear due to Hall and Ion slip currents enhance the fluid velocity but the inverse behavior is recorded for temperature profile.

Automated summary

In this investigation, the flow in a rotating cone for a magnetized Prandtl fluid model is studied. The momentum equation of the Prandtl model is derived by considering the effects of Hall and ion slip, while the heat transport phenomenon is studied with the inclusion of Joule heating and viscous dissipation effects. The empirical relations of the nanofluid mixture are based on the models proposed by Hamilton Crosser and Yamada Ota. The flow expressions are modeled as partial differential equations (PDEs) under boundary layer approximation. The PDEs are then transformed into a set of coupled nonlinear ordinary differential equations (ODEs), which are solved numerically using a finite element scheme (FES). The impacts of different emerging parameters are graphically presented and the underlying physics of the observed phenomena are explained in detail. The convergence of the FES is established through a grid independent survey. The investigation reveals that the parameters associated with Hall and ion slip currents enhance the fluid velocity, while the opposite behavior is observed for the temperature profile.