Fluidity and thermal transport across the triangular aperture with lower lateral inlet and apply placed at the vertical outlet of the chamber which filled with efficient TiO2-SiO2/water hybrid nanofluid under the parametrical influence. Several parameters are tested like the numbers of Hartmann ([Formula: see text]), Richardson ([Formula: see text]), and Reynolds ([Formula: see text]) were critiqued through streamlines, isotherms, and Nusselt number ([Formula: see text]). Numerical model has to be developed and solved through the Galerkin finite element method (GFEM) by discretized with 13,569 triangular elements optimized through grid-independent analysis. The Hartmann number ([Formula: see text]), exerts minimal impact over the flow and thermal aspects while the other parameters significantly manipulate the physical nature of the flowing and thermal aspects behaviors.