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TECHNICAL NOTES

Influence of Heat Transfer at the Interface on the Thermocapillary Convection in the Adjacent Phase

[+] Author and Article Information
Y. Jiang, J. M. Floryan

Department of Mechanical and Materials Engineering, The University of Western Ontario, London, Ontario, N5A 5B9, Canada

J. Heat Transfer 125(1), 190-194 (Jan 29, 2003) (5 pages) doi:10.1115/1.1535448 History: Received December 10, 2001; Revised September 20, 2002; Online January 29, 2003
Copyright © 2003 by ASME
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References

Figures

Grahic Jump Location
Sketch of the model problem
Grahic Jump Location
The maximum interface deformation on the left side of a cavity subject to heating through the sidewalls as a function of the capillary number Ca for different values of the Biot number Bi and for Re=1,100,200. The flow and deformation patterns corresponding to points (a–d) are shown in Fig. 3. The cavity has length L=6 and the interface is subject to the fixed contact points constraint.
Grahic Jump Location
The evolution of the flow, temperature and deformation patterns in a cavity subject to heating through the sidewalls as a function of the Biot number Bi for Re=1 and 200, L=6, and Ca=0.126. Figures (a,b)—Re=1,Bi=104, and Bi=10−2, (c,d)—Re=200,Bi=104 and Bi=10−2. (a–d) correspond to points (a–d) in Fig. 2. Contour lines of the stream function and temperature are shown every 10 percent of ψmax and with ΔT=0.5, respectively. In (a–d) |ψmax|=0.07765, 0.04749, 0.05599, 0.04875, respectively. The interface is subject to the fixed contact points constraint.
Grahic Jump Location
The maximum interface deformation on the left side of a cavity subject to heating through the sidewalls as a function of the capillary number Ca for different values of the Biot number Bi and for Re=1,100,200. The flow and deformation patterns corresponding to points (a–d) are shown in Fig. 5. The cavity has length L=4 and the interface is subject to the fixed contact angles constraint.
Grahic Jump Location
The evolution of the flow, temperature and deformation patterns in a cavity subject to heating through the side walls as a function of the Biot number Bi for Re=1 and 200, L=4 and Ca=0.1178. Figures (a,b)—Re=1,Bi=104 and Bi=10−2, (c,d)—Re=200,Bi=104 and Bi=10−2. (a–d) correspond to points (a–d) in Fig. 4. Contour lines of the stream function and temperature are shown every 10 percent of ψmax and with ΔT=0.2, respectively. In (a–d) |ψmax|=0.05775, 0.03375, 0.04540, 0.04061, respectively. The interface is subject to the fixed contact angles constraint.
Grahic Jump Location
The interface deformation in the middle of a cavity subject to point heating from above as a function of the capillary number Ca for different values of the Biot number Bi and for Re=1,100,200. The flow and deformation patterns corresponding to points (a–d) are shown in Fig. 7. The cavity has length L=6 and the interface is subject to the fixed contact points constraint.
Grahic Jump Location
The evolution of the flow, temperature and deformation patterns in a cavity subject to point heating from above as a function of the Biot number Bi for Re=1 and 200, L=6, and Ca=0.0899. Figures (a,b)—Re=1,Bi=104 and Bi=10−2, (c,d)—Re=200,Bi=104, and Bi=10−2. (a–d) correspond to points (a–d) in Fig. 6. Contour lines of the stream function are shown every 10 percent of ψmax. In (a–d) |ψmax|=0.1938, 0.00267, 0.0942, 0.00266, respectively. The isotherms are shown with ΔT=1, 0.02, 1, 0.02 in (a–d), respectively. The interface is subject to the fixed contact points constraint.
Grahic Jump Location
The interface deformation in the middle of a cavity subject to point heating from above as a function of the capillary number Ca for different values of the Biot number Bi and for Re=1,100,200. The flow and deformation patterns corresponding to points (a–d) are shown in Fig. 9. The cavity has length L=4 and the interface is subject to the fixed contact angles constraint.
Grahic Jump Location
The evolution of the flow, temperature and deformation patterns in a cavity subject to point heating from above as a function of the Biot number Bi for Re=1 and 200, L=4 and Ca=0.0952. Figures (a,b)—Re=1,Bi=104, and Bi=10−2, (c,d)—Re=200,Bi=104 and Bi=10−2. (a–d) correspond to points (a–d) in Fig. 8. Contour lines of the stream function are shown every 10 percent of ψmax. In (a–d) |ψmax|=0.1685, 0.00226, 0.07532, 0.002256, respectively. The isotherms are shown with ΔT=1, 0.02, 1, 0.02 in (a–d), respectively. The interface is subject to the fixed contact angles constraint.

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