Eventos Anais de eventos
ENCIT 2022
19th Brazilian Congress of Thermal Sciences and Engineering
NATURAL CONVECTION IN A VERTICAL ANNULUS FILLED WITH POROUS MEDIA WITH INTERNAL HEAT GENERATION
Submission Author:
Beatriz Machado dos Santos , RJ
Co-Authors:
Beatriz Machado dos Santos, Eneida Regina Guimarães Dourado Ribeiro, Su Jian
Presenter: Beatriz Machado dos Santos
doi://10.26678/ABCM.ENCIT2022.CIT22-0102
Abstract
This work used the generalized integral transform technique (GITT) to investigate steady-state natural convection in a vertical annulus containing heat-generating porous medium. The porous medium considered is homogeneous, isotropic and saturated with an incompressible fluid. The vertical walls are kept at constant temperatures, with the temperature of the inner wall being higher than that of the outer wall, and the horizontal walls are insulated. The governing equations in stream-function formulation are integral transformed in the vertical direction, with the resulting system of nonlinear ordinary differential equations numerically solved by finite difference method. The convergence analysis and results to different aspect ratios, radius ratios and a wide range of Rayleigh numbers are presented. The GITT solutions are validated by comparison with fully numerical solutions by finite difference method, showing excellent agreement and convergence with low computational cost. The calculations were performed in the computational software Mathematica. It was shown that as the radius ratio increases, isotherms shift towards the inner (hot) wall. It was also concluded that the flow patterns and isotherms exhibit a significant influence of curvature.
Keywords
Natural Convection, porous medium, Internal Heat Generation, Vertical annulus, Integral Transform
