3-DIMENSIONAL THERMOCAPILLARY CONVECTION IN A CAVITY

被引:18
作者
BABU, V
KORPELA, SA
机构
[1] Department of Mechanical Engineering, The Ohio State University, Columbus, OH 43210-1107
关键词
Heat Transfer--Convection - Mathematical Techniques--Numerical Methods - Temperature Distribution--Surfaces;
D O I
10.1016/0045-7930(90)90022-P
中图分类号
TP39 [计算机的应用];
学科分类号
081203 ; 0835 ;
摘要
Three dimensional thermocapillary convection in a cubical cavity is considered. The governing equations are cast in primitive variable form. The resulting Neuman problem for pressure needs an integral constraint to be satisfied before a converged solution can be obtained. A consistent finite differencing procedure which enables this integral constraint to be satisfied to machine accuracy is outlined. Solutions are presented for Marangoni numbers 1, 100 and 300 and compared with the corresponding two-dimensional solutions. © 1990.
引用
收藏
页码:229 / 238
页数:10
相关论文
共 20 条
[2]   NUMERICAL SOLUTION OF 3-DIMENSIONAL EQUATIONS OF MOTION FOR LAMINAR NATURAL CONVECTION [J].
AZIZ, K ;
HELLUMS, JD .
PHYSICS OF FLUIDS, 1967, 10 (02) :314-&
[3]  
BABU V, 1989, THESIS OHIO STATE U
[4]   Rotary currents on fixed grounds. [J].
Bodewadt, UT .
ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK, 1940, 20 :241-253
[5]  
BRILEY R, 1977, J COMPUT PHYS, V24, P373
[6]   CONVECTION IN A BOX - LINEAR THEORY [J].
DAVIS, SH .
JOURNAL OF FLUID MECHANICS, 1967, 30 :465-&
[7]  
Douglas J., 1964, NUMER MATH, V6, P428
[8]  
GHIA KN, 1987, AIAA77648 PAP
[9]   A PSEUDOSPECTRAL METHOD FOR SOLUTION OF THE 3-DIMENSIONAL INCOMPRESSIBLE NAVIER-STOKES EQUATIONS [J].
KU, HC ;
HIRSH, RS ;
TAYLOR, TD .
JOURNAL OF COMPUTATIONAL PHYSICS, 1987, 70 (02) :439-462
[10]  
Levich V. G., 1962, PHYSICOCHEMICAL HYDR