The purpose of this work is to probe the analytical formulation of the mechanical response [Formula: see text], which is the consequence of determining the connection between charge and depth values. It is possible to acquire the [Formula: see text] expression by doing an indentation experiment while the loading process is unfolding. In this particular piece of research, the formulation of [Formula: see text] takes into consideration the pile-up mode for an indenter with a spherical structure. The remarkable concordance that exists involving the newly propositioned appearance and the outcome of the experiments has been presented in this academic work. An experimental investigation is being conducted on ductile materials, namely copper and the alloys of copper.
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.
MHD Natural convection, which is one of the principal types of convective heat transfer in numerous research of heat exchangers and geothermal energy systems, as well as nanofluids and hybrid nanofluids. This work focuses on the investigation of Natural convective heat transfer evaluation inside a porous triangular cavity filled with silver-magnesium oxide/water hybrid nanofluid [H2O/Ag-MgO]hnf under a consistent magnetic field. The laminar and incompressible nanofluid flow is taken to account while Darcy-Forchheimer model takes account of the advection inertia effect in the porous sheet. Controlled equations of the work have been approached nondimensional and resolved by Galerkin finite element technique. The numerical analyses were carried out by varying the Darcy, Hartmann, and Rayleigh numbers, porosity, and characteristics of solid volume fraction and flow fields. Further, the findings are reported in streamlines, isotherms and Nusselt numbers. For this work, the parametric impact may be categorized into two groups. One of them has an effect on the structural factors such as triangular form and scale on the physical characteristics of the important outputs such as fluidity and thermal transfer rates. The significant findings are the parameters like Rayleigh and slightly supported by Hartmann along with Darcy number, minimally assists by solid-particle size and rotating factor as clockwise assists the cooler flow at the center and anticlockwise direction assists the warmer flow. Clear raise in heat transporting rate can be obtained for increasing solid-particle size.