Effects of rotation and feedback control on Bénard-Marangoni convection

Z. Siri; Z. Mustafa; I. Hashim

doi:10.1016/j.ijheatmasstransfer.2009.07.025

Effects of rotation and feedback control on Bénard-Marangoni convection

Z. Siri
, Z. Mustafa
, I. Hashim

University of Malaya
Universiti Kebangsaan Malaysia

Research output: Contribution to journal › Article › peer-review

18 Scopus citations

Abstract

The effect of a feedback control on the onset of steady and oscillatory Bénard-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. The role of the controller gain parameter on the P_r- Ta and P_r- R=R_c parameter spaces, dividing stability domains into which either steady or oscillatory convection is preferred, is determined.

Original language	English
Pages (from-to)	5770-5775
Number of pages	6
Journal	International Journal of Heat and Mass Transfer
Volume	52
Issue number	25-26
DOIs	https://doi.org/10.1016/j.ijheatmasstransfer.2009.07.025
State	Published - Dec 2009
Externally published	Yes

Keywords

Bé
Convection
Feedback control
Nard-Marangoni instability
Rotation

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10.1016/j.ijheatmasstransfer.2009.07.025

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title = "Effects of rotation and feedback control on B{\'e}nard-Marangoni convection",

abstract = "The effect of a feedback control on the onset of steady and oscillatory B{\'e}nard-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. The role of the controller gain parameter on the Pr- Ta and Pr- R=Rc parameter spaces, dividing stability domains into which either steady or oscillatory convection is preferred, is determined.",

keywords = "B{\'e}, Convection, Feedback control, Nard-Marangoni instability, Rotation",

author = "Z. Siri and Z. Mustafa and I. Hashim",

year = "2009",

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doi = "10.1016/j.ijheatmasstransfer.2009.07.025",

language = "English",

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pages = "5770--5775",

journal = "International Journal of Heat and Mass Transfer",

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TY - JOUR

T1 - Effects of rotation and feedback control on Bénard-Marangoni convection

AU - Siri, Z.

AU - Mustafa, Z.

AU - Hashim, I.

PY - 2009/12

Y1 - 2009/12

N2 - The effect of a feedback control on the onset of steady and oscillatory Bénard-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. The role of the controller gain parameter on the Pr- Ta and Pr- R=Rc parameter spaces, dividing stability domains into which either steady or oscillatory convection is preferred, is determined.

AB - The effect of a feedback control on the onset of steady and oscillatory Bénard-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. The role of the controller gain parameter on the Pr- Ta and Pr- R=Rc parameter spaces, dividing stability domains into which either steady or oscillatory convection is preferred, is determined.

KW - Bé

KW - Convection

KW - Feedback control

KW - Nard-Marangoni instability

KW - Rotation

UR - https://www.scopus.com/pages/publications/77956063552

U2 - 10.1016/j.ijheatmasstransfer.2009.07.025

DO - 10.1016/j.ijheatmasstransfer.2009.07.025

M3 - Article

AN - SCOPUS:77956063552

SN - 0017-9310

VL - 52

SP - 5770

EP - 5775

JO - International Journal of Heat and Mass Transfer

JF - International Journal of Heat and Mass Transfer

IS - 25-26

ER -

Effects of rotation and feedback control on Bénard-Marangoni convection

Abstract

Keywords

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