Stabilization of steady and oscillatory marangoni instability in rotating fluid layer by feedback control strategy

Ishak Hashim, Z. Siri

Research output: Contribution to journalArticle

20 Citations (Scopus)

Abstract

The effect of feedback control on the onset of steady and oscillatory surface tension-driven (Marangoni) instability in a rotating horizontal fluid layer is considered theoretically using linear stability theory. It is demonstrated that generally the critical Marangoni number for transition from the no-motion (conduction) to the motion state can be drastically increased by the combined effects of feedback control and rotation. Some cases in which increasing the controller gain parameter can be ineffective are also presented. The thresholds and codimension-2 points for the onset of steady and oscillatory convection are determined. We show how the Pr-Ta parameter space is divided into regions in which steady or oscillatory convection is preferred.

Original languageEnglish
Pages (from-to)647-663
Number of pages17
JournalNumerical Heat Transfer; Part A: Applications
Volume54
Issue number6
DOIs
Publication statusPublished - Jan 2008

Fingerprint

rotating fluids
Rotating Fluid
feedback control
Feedback Control
Feedback control
Control Strategy
Stabilization
convection
stabilization
Convection
Fluids
Surface tension
controllers
interfacial tension
Motion
Stability Theory
Linear Stability
Surface Tension
conduction
Conduction

ASJC Scopus subject areas

  • Mechanics of Materials
  • Computational Mechanics
  • Physical and Theoretical Chemistry
  • Fluid Flow and Transfer Processes
  • Safety, Risk, Reliability and Quality

Cite this

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AB - The effect of feedback control on the onset of steady and oscillatory surface tension-driven (Marangoni) instability in a rotating horizontal fluid layer is considered theoretically using linear stability theory. It is demonstrated that generally the critical Marangoni number for transition from the no-motion (conduction) to the motion state can be drastically increased by the combined effects of feedback control and rotation. Some cases in which increasing the controller gain parameter can be ineffective are also presented. The thresholds and codimension-2 points for the onset of steady and oscillatory convection are determined. We show how the Pr-Ta parameter space is divided into regions in which steady or oscillatory convection is preferred.

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