Stabilization of the no-motion state of a horizontal fluid layer heated from below with joule heating

Journal of Heat Transfer

Volumn 117, Issue 2, 1995, Pages 329-333

  Tang, J ^a   Bau, H H ^a  

^a UNIVERSITY OF PENNSYLVANIA   (United States)

Author keywords

Materials Processing and Manufacturing Processes; Natural Convection

Indexed keywords

FLOW PATTERNS; HEAT TRANSFER;

FEEDBACK CONTROL; FLOW OF FLUIDS; HEATING; NUMERICAL ANALYSIS; STABILIZATION;

CRITICAL RAYLEIGH NUMBER; HORIZONTAL FLUID LAYERS; JOULE HEATING; NO MOTION STATE;

HEAT CONVECTION;

EID: 0029169012     PISSN: 00221481     EISSN: 15288943     Source Type: Journal    
DOI: 10.1115/1.2822525     Document Type: Article

References (17)

1. Ban, H. H., 1993, "Controlling Chaotic Convection," Theoretical and Applied Mechanics 1992, S. R. Bonder, J. Singer, A. Solan, and Z. Hashin, eds., Elsevier Science Publishers, pp. 187-203.
2. Chaodrasekhar, S., 1969, Hydrodynamic and Hydromagnetic Stability, Oxford Press, United Kingdom.
3. Davis, S. H., 1976, "The Stability of Time Periodic Flows," Ann. Reviews Fluid Mechanics, Vol. 8, pp. 57-74.
4. Docdel, E., 1986, "AUTO: Software for Continuation and Bifurcation Problems in Ordinary Differential Equations," Applied Mathematics Report, California Institute of Technology.
5. Donnelly, R. J., 1990, ''Externally Modulated Hydrodynamic Systems," in: Nonlinear Evolution of Spatio-Temporal Structures in Dissipative Continuous Systems, F. H. Busse and L. Kramer, eds., Plenum Press, New York, pp. 31-43.
6. Drazin, P. G., and Reid, W. H., 1981, Hydrodynamic Stability, Cambridge, United Kingdom.
7. Joseph, D. D., 1976, Stability of Fluid Motions II, Springer-Verlag, New York.
8. Meyer, C. W., Cannel, D. S., and Ahlers, G., 1992, "Hexagonal and Roll Flow Patterns in Temporally Modulated Rayleigh-B6nard Convection," Physical Review A, Vol. 45, pp. 8583-8604.
9. Patankar, S. V., 1980, Numerical Heat Transfer and Fluid Flow, McGraw-Hill, New York.
10. Roppo, M. N., Davis, S. H., and Rosenblat, S., 1984, "B6nard Convection With Time-Periodic Heating," Physics' Fluids, Vol. 27, pp. 796-803.
11. Singer, J., Wang, Y.-Z., and Bau, H. H., 1991, "Controlling a Chaotic System," Physical Review Letters, Vol. 66, pp. 1123-1125.
12. Singer, J., and Ban, H. H., 1991, "Active Control of Convection," Physics of Fluids A, Vol. 3, pp. 2859-2865.
13. Sparrow, E. M., Goldstein, R. J., and Josson, V. K., 1964, "Thermal Instability in a Horizontal Fluid Layer: Effect of Boundary Conditions and Non-linear Temperature Profile," J. Fluid Mechanics, Vol. 18, pp. 513-528.
14. Tang, J., and Ban, H. H., 1993a, "Stabilization of the No-Motion State in Rayleigh-B6nard Convection Through the Use of Feedback Control," Physical Review Letters, Vol. 70, pp. 1795-1798.
15. Tang, J., and Bau, H. H., 1993b, "Feedback Control Stabilization of the No-Motion State of a Fluid Confined in a Horizontal, Porous Layer Heated From Below," J. Fluid Mechanics, Vol. 257, pp. 485-505.
16. Tang, J., and Bau, H. H., 1994, "Stabilization of the No-Motion State in the Rayleigh-B6nard Problem," Proceedings Royal Society A, Vol. 447, pp. 587-607.
17. Wang, Y.-Z., Singer, J., and Bau, H. H., 1992, "Controlling Chaos in a Thermal Convection Loop," J. Fluid Mechanics, Vol. 237, pp. 479-498.