2020/05/23 by Mohamed Loukili, Loukili, Mohamed, Kamila Kotrasová +3
Engineering · #Advanced Numerical Methods in Computational Mathematics #Classical Physics (physics.class-ph) #FOS: Physical sciences #Fluid Dynamics (physics.flu-dyn) #Heat Transfer and Optimization #Nanofluid Flow and Heat Transfer
paper · pdf · doi:10.48550/arxiv.2005.12687
openalex publication_date 2020/05/23 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The simulation of natural convection problem based on the Galerkin\nfinite-element method, with the penalty finite-element formulation of the\nmomentum balance equation, is exploited for accurate solutions of equations\ndescribing the problem of H-Form cavity differentially heated side walls. The\ncavity is occupied by the air whose Prandtl number is Pr=0.71, the fluid is\nassumed to be steady, viscous and incompressible within thermal convection. A\nnumerical investigation has been made for Rayleigh numbers ranging from 10 to\n106 for three cases of total internal height aspects of H-Form cavity: 0%,\n50%, and 85%. Firstly, the goal is to validate the numerical code used to\nresolve the equations governing the problem of this work. For that, we present\na comparison between the profiles at the point (0.5, 0) for the u-component,\nand u-component obtained in previous work for simple square cavity. Further, a\ncomparison of the averaged Nusselt number with previous works for simple square\ncavity is realized in order to ensure the numerical accuracy, and the validity\nof our considered numerical tool. Secondly, the objective is to investigate on\nthe hydrodynamic effects of Rayleigh number for different total internal height\naspects of H-Form cavity on the dynamics of natural convection. Shortly after,\nthe ambition is to assess the heat transfer rate for different Rayleigh number\nfor three cases of internal height aspects.\n