Advanced finite element modeling for dual simulations of Carreau-Yasuda fluid subjected to thermal jump using three-dimensional stretching and shrinking surfaces

The current problem consists of dual solutions of Carreau Yasuda fluid in flow, mass diffusion and heat energy on 3D expanding and shrinking surfaces. The suspension of tri-hybrid nano-fluid named $Ti{O}_2,Si{O}_2$, ethylene glycol and aluminum oxide are observed. Heat energy and mass diffusion equations consist of influences of Soret, Dufour, viscous dissipation and heat sink. Tri-hybrid nanofluids have various utilizations in industrial plastics, surgical implants, optical filters, microsensors of biological applications and electronic processes. The variable fluidic properties (thermal conductivity and mass diffusion) have been utilized. The variable magnetic field is observed. Galerkin finite element method with linear shape functions and Galerkin approximations is used to numerically solve normalized conservation equations. Analyses of mesh independence and convergence are performed to guarantee the accuracy of the solutions. The reliability of the findings is confirmed by comparing them to benchmark data. A complicated model in terms of Odes is numerically resolved by finite element methodology which is better given accuracy and convergence. Similarity transformations have been utilized for obtaining Ode’s through PDEs while numerical simulations are achieved through the finite element method. It was experienced that the temperature profile declined with the Dufour number and magnetic number. The opposite trend is experienced in mass diffusion when the Soret number and Schmidt number are enhanced.

Divergent velocities are increased for the second and first solutions when the Weissenberg number and magnetic number are enhanced.