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

Journal Article · Mon May 01 00:00:00 EDT 1995 · Journal of Heat Transfer

DOI:https://doi.org/10.1115/1.2822525· OSTI ID:68016

Tang, J; Bau, H H ^[1]

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1. Univ. of Pennsylvania, Philadelphia, PA (United States)

Using linear stability theory and numerical simulations, we demonstrate that the critical Rayleigh number for bifurcation from the no-motion (conduction) state to the motion state in the Rayleigh-Benard problem of an infinite fluid layer heated from below with Joule heating and cooled from above can be significantly increased through the use of feedback control strategies effecting small perturbations in the boundary data. The bottom of the layer is heated by a network of heaters whose power supply is modulated in proportion to the deviations of the temperatures at various locations in the fluid from the conductive, no-motion temperatures. Similar control strategies can also be used to induce complicated, time-dependent flows at relatively low Rayleigh numbers. 17 refs., 6 figs.

• Sponsoring Organization: USDOE
• DOE Contract Number: FG02-92ER14271
• OSTI ID: 68016
• Journal Information: Journal of Heat Transfer, Vol. 117, Issue 2; Other Information: PBD: May 1995
• Country of Publication: United States
• Language: English

Related Subjects

42 ENGINEERING NOT INCLUDED IN OTHER CATEGORIES
99 MATHEMATICS
COMPUTERS
INFORMATION SCIENCE
MANAGEMENT
LAW
MISCELLANEOUS
FLUIDS
HEAT TRANSFER
JOULE HEATING
CONVECTION
THERMAL CONDUCTION
NUMERICAL ANALYSIS
FEEDBACK
CONTROL SYSTEMS
STABILITY
MATHEMATICAL MODELS