Effects of control on the onset of Bénard-Marangoni convection in a micropolar fluid

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3 Citations (Scopus)

Abstract

A linear stability analysis was conducted to assess the feasibility of using a feedback control strategy on the onset of Bénard-Marangoni convection in a micropolar fluid. The single-term Galerkin technique was used to obtain the closed-form solution for the Marangoni number M for the onset of convection, satisfying three different non-uniform basic state temperature profiles. It is demonstrated that the controller gain parameter can successfully increase the critical Marangoni number.

Original languageEnglish
Pages (from-to)1335-1339
Number of pages5
JournalInternational Communications in Heat and Mass Transfer
Volume37
Issue number9
DOIs
Publication statusPublished - Nov 2010

Fingerprint

micropolar fluids
Marangoni convection
feedback control
temperature profiles
controllers
convection
Linear stability analysis
Fluids
Feedback control
Controllers
Temperature
Convection

Keywords

  • Bénard-Marangoni convection
  • Feedback control
  • Instability
  • Micropolar fluid
  • Non-uniform thermal gradient
  • Thermocapillary

ASJC Scopus subject areas

  • Chemical Engineering(all)
  • Condensed Matter Physics
  • Atomic and Molecular Physics, and Optics

Cite this

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title = "Effects of control on the onset of B{\'e}nard-Marangoni convection in a micropolar fluid",
abstract = "A linear stability analysis was conducted to assess the feasibility of using a feedback control strategy on the onset of B{\'e}nard-Marangoni convection in a micropolar fluid. The single-term Galerkin technique was used to obtain the closed-form solution for the Marangoni number M for the onset of convection, satisfying three different non-uniform basic state temperature profiles. It is demonstrated that the controller gain parameter can successfully increase the critical Marangoni number.",
keywords = "B{\'e}nard-Marangoni convection, Feedback control, Instability, Micropolar fluid, Non-uniform thermal gradient, Thermocapillary",
author = "Mahmud, {M. N.} and Zainol Mustafa and Ishak Hashim",
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T1 - Effects of control on the onset of Bénard-Marangoni convection in a micropolar fluid

AU - Mahmud, M. N.

AU - Mustafa, Zainol

AU - Hashim, Ishak

PY - 2010/11

Y1 - 2010/11

N2 - A linear stability analysis was conducted to assess the feasibility of using a feedback control strategy on the onset of Bénard-Marangoni convection in a micropolar fluid. The single-term Galerkin technique was used to obtain the closed-form solution for the Marangoni number M for the onset of convection, satisfying three different non-uniform basic state temperature profiles. It is demonstrated that the controller gain parameter can successfully increase the critical Marangoni number.

AB - A linear stability analysis was conducted to assess the feasibility of using a feedback control strategy on the onset of Bénard-Marangoni convection in a micropolar fluid. The single-term Galerkin technique was used to obtain the closed-form solution for the Marangoni number M for the onset of convection, satisfying three different non-uniform basic state temperature profiles. It is demonstrated that the controller gain parameter can successfully increase the critical Marangoni number.

KW - Bénard-Marangoni convection

KW - Feedback control

KW - Instability

KW - Micropolar fluid

KW - Non-uniform thermal gradient

KW - Thermocapillary

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JO - International Communications in Heat and Mass Transfer

JF - International Communications in Heat and Mass Transfer

SN - 0735-1933

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