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

M. N. Mahmud; Z. Mustafa; I. Hashim

doi:10.1016/j.icheatmasstransfer.2010.08.013

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

M. N. Mahmud
, Z. Mustafa
, I. Hashim

Universiti Kuala Lumpur
Universiti Kebangsaan Malaysia

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

7 Scopus citations

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 language	English
Pages (from-to)	1335-1339
Number of pages	5
Journal	International Communications in Heat and Mass Transfer
Volume	37
Issue number	9
DOIs	https://doi.org/10.1016/j.icheatmasstransfer.2010.08.013
State	Published - Nov 2010
Externally published	Yes

Keywords

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

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10.1016/j.icheatmasstransfer.2010.08.013

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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 Z. Mustafa and I. Hashim",

year = "2010",

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language = "English",

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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, Z.

AU - Hashim, I.

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

UR - https://www.scopus.com/pages/publications/77957854442

U2 - 10.1016/j.icheatmasstransfer.2010.08.013

DO - 10.1016/j.icheatmasstransfer.2010.08.013

M3 - Article

AN - SCOPUS:77957854442

SN - 0735-1933

VL - 37

SP - 1335

EP - 1339

JO - International Communications in Heat and Mass Transfer

JF - International Communications in Heat and Mass Transfer

IS - 9

ER -

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

Abstract

Keywords

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