Open AccessFinite Volume Simulation of Natural Convection for Power-Law Fluids with Temperature-Dependent Viscosity in a Square Cavity with a Localized Heat Source
Author(s) -
Hamza Daghab,
Mourad Kaddiri,
Said Raghay,
Ismail Arroub,
Mohamed Lamsaadi,
Hassan Rayhane
Publication year - 2021
Publication title -
heat and technology
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.283
H-Index - 29
ISSN - 0392-8764
DOI - 10.18280/ijht.390502
Subject(s) - natural convection , enclosure , mechanics , finite volume method , rayleigh number , heat flux , thermodynamics , materials science , heat transfer , physics , engineering , telecommunications
In this paper, numerical study on natural convection heat transfer for confined thermo-dependent power-law fluids is conducted. The geometry of interest is a fluid-filled square enclosure where a uniform flux heating element embedded on its lower wall is cooled from the vertical walls while the remaining parts of the cavity are insulated, without slipping conditions at all the solid boundaries. The governing partial differential equations written in terms of non-dimensional velocities, pressure and temperature formulation with the corresponding boundary conditions are discretized using a finite volume method in a staggered grid system. Coupled equations of conservation are solved through iterative Semi Implicit Method for Pressure Linked Equation (SIMPLE) algorithm. The effects of pertinent parameters, which are Rayleigh number (103 ≤ Ra ≤ 106), power-law index (0.6 ≤ n ≤ 1.4), Pearson number (0 ≤ m ≤ 20) and length of the heat source (0.2 ≤ W ≤ 0.8) on the cooling performance are investigated. The results indicate that the cooling performance of the enclosure is improved with increasing Pearson and Rayleigh numbers as well as with decreasing power-law index and heat source length.