Unsteady Natural Convection between Two Eccentric Hemispheres
Unsteady Natural Convection between Two Eccentric Hemispheres作者机构：Groupe de Recherche sur l’Energie Solaire et les Transferts (GREST) Faculté des Sciences et Techniques Université Cheikh Anta DIOP (UCAD) Dakar Sénégal Laboratoire de Mécanique des Fluides Faculté des Sciences et Techniques Université Cheikh Anta DIOP (UCAD) Dakar Sénégal
出 版 物：《Open Journal of Applied Sciences》 (应用科学（英文）)
年 卷 期：2021年第11卷第2期
页 面：177-189页
学科分类：080704[工学-流体机械及工程] 080103[工学-流体力学] 08[工学] 0807[工学-动力工程及工程热物理] 0801[工学-力学（可授工学、理学学位）]
主 题：Natural Convection Hemispherical Cavity Rayleigh Correlations Eccentricity Nusselt Number
摘 要：Natural convection heat transfer in open or closed cavities takes place in different engineering areas. The hemispherical cavity is a part of basic geometries although it is not widely studied. The present paper reports the numerical study of natural convection in a closed hemispherical annulus delimited by two vertically eccentric hemispheres filled with Newtonian fluid (air in this case with Pr = 0.7) is conducted. The inner hemisphere is heated by a heat flux of constant density and the outer one is maintained isothermal. Based on the Boussinesq assumptions, the governing equations are numerically studied using unsteady natural convection formulated with vorticity and stream-function variables. These equations are written by using bispherical coordinates system and solved by using a finite difference method. The effect of the control parameters such as the Rayleigh number (103 ≤ Ra ≤ 106) or the eccentricity (e = ±0.2, ±0.5, 0) in the dynamic and thermal behaviours of the fluid is investigated.
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