CONVECTIVE INSTABILITY MECHANISMS IN THERMOCAPILLARY LIQUID BRIDGES

被引:290
作者
WANSCHURA, M
SHEVTSOVA, VM
KUHLMANN, HC
RATH, HJ
机构
[1] ZARM-University of Bremen
关键词
D O I
10.1063/1.868567
中图分类号
O3 [力学];
学科分类号
08 ; 0801 ;
摘要
The primary instability of axisymmetric steady thermocapillary flow in a cylindrical liquid bridge with non-deformable free surface is calculated by a mixed Chebychev-finite difference method. For unit aspect ratio the most dangerous mode has an azimuthal wavenumber m=2. The physical instability mechanisms are studied by analyzing the linear energy balance of the neutral mode. If the Prandtl number is small (Pr≪1), the bifurcation is stationary. The associated neutral mode is amplified in the shear layer close to the free surface. For large Prandtl number (Pr=4), the basic state becomes linearly unstable to a pair of hydrothermal waves propagating nearly azimuthally. Both mechanisms are compared with those previously proposed in the literature. © 1995 American Institute of Physics.
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页码:912 / 925
页数:14
相关论文
共 38 条
[1]  
BOHM J, 1994, HANDB CRYST GROWTH, V2, P213
[2]   3-DIMENSIONAL OPTIMAL PERTURBATIONS IN VISCOUS SHEAR-FLOW [J].
BUTLER, KM ;
FARRELL, BF .
PHYSICS OF FLUIDS A-FLUID DYNAMICS, 1992, 4 (08) :1637-1650
[3]   THERMOCAPILLARY FLOW NEAR A COLD-WALL [J].
CANRIGHT, D .
PHYSICS OF FLUIDS, 1994, 6 (04) :1415-1424
[4]   INHOMOGENEITIES DUE TO THERMOCAPILLARY FLOW IN FLOATING ZONE-MELTING [J].
CHANG, CE ;
WILCOX, WR .
JOURNAL OF CRYSTAL GROWTH, 1975, 28 (01) :8-12
[5]  
CHARLSON GS, 1979, INT J HEAT MASS TRAN, V13, P1479
[6]   EXPERIMENTS ON THE TRANSITION FROM THE STEADY TO THE OSCILLATORY MARANGONI-CONVECTION OF A FLOATING ZONE UNDER REDUCED GRAVITY EFFECT [J].
CHUN, CH ;
WUEST, W .
ACTA ASTRONAUTICA, 1979, 6 (09) :1073-1082
[7]   TRAVELING WAVES IN A FLUID LAYER SUBJECTED TO A HORIZONTAL TEMPERATURE-GRADIENT [J].
DAVIAUD, F ;
VINCE, JM .
PHYSICAL REVIEW E, 1993, 48 (06) :4432-4436
[8]  
GILLON P, COMMUNICATION
[9]  
GOLUB HG, 1989, MATRIX COMPUTATIONS, P383
[10]   ENERGY GROWTH OF 3-DIMENSIONAL DISTURBANCES IN PLANE POISEUILLE FLOW [J].
GUSTAVSSON, LH .
JOURNAL OF FLUID MECHANICS, 1991, 224 :241-260