Bifurcation Diversity in an Annular Pool Heated from Below:Prandtl and Biot Numbers Effects

作     者：A.J.Torregrosa S.Hoyas M.J.Pérez-Quiles J.M.Mompò-Laborda 

作者机构：CMT-Motores TérmicosUniversitat Politécnica de ValénciaValencia 46022Spain Instituto Universitario de Matemática Pura y AplicadaUniversitat Politécnica de ValénciaValencia 46022Spain 

出 版 物：《Communications in Computational Physics》 (计算物理通讯（英文）)

年 卷 期：2013年第13卷第2期

页      面：428-441页

核心收录：

学科分类：07[理学] 0701[理学-数学] 070101[理学-基础数学] 

基　　金：Government of Valencia Universitat Politecnica de Valencia 

主　　题：Thermocapillary convection Prandtl number Biot number linear stability 

摘      要：In this article the instabilities appearing in a liquid layer are studied numerically by means of the linear stability *** fluid is confined in an annular pool and is heated from below with a linear decreasing temperature profile from the inner to the outer *** top surface is open to the atmosphere and both lateral walls are *** the Rayleigh number as the only control parameter,many kind of bifurcations appear at moderately low Prandtl numbers and depending on the Biot *** regions on the Prandtl-Biot plane are identified,their boundaries being formed from competing solutions at codimension-two bifurcation points.