Feedback control of the Marangoni-Bénard convection in a horizontal fluid layer with internal heat generation

Feedback control is applied to the steady Marangoni-Bénard convection in a horizontal layer of fluid with internal heat generation heated from below and cooled from above. The analytical technique is used to obtain the close form analytical expression for the onset of Marangoni-Bénard convection whe...

Full description

Bibliographic Details
Main Authors: Bachok @ Lati, Norfifah, Md. Arifin, Norihan
Format: Article
Language:English
Published: Springer 2010
Online Access:http://psasir.upm.edu.my/id/eprint/14742/
http://psasir.upm.edu.my/id/eprint/14742/1/Feedback%20control%20of%20the%20Marangoni-B%C3%A9nard%20convection%20in%20a%20horizontal%20fluid%20layer%20with%20internal%20heat%20generation.pdf
_version_ 1848842478424162304
author Bachok @ Lati, Norfifah
Md. Arifin, Norihan
author_facet Bachok @ Lati, Norfifah
Md. Arifin, Norihan
author_sort Bachok @ Lati, Norfifah
building UPM Institutional Repository
collection Online Access
description Feedback control is applied to the steady Marangoni-Bénard convection in a horizontal layer of fluid with internal heat generation heated from below and cooled from above. The analytical technique is used to obtain the close form analytical expression for the onset of Marangoni-Bénard convection when the lower boundary is conducting. The effects of feedback control are studied by examining the critical Marangoni numbers and wave numbers. It is shown that the critical Marangoni number decreases as the value of internal heat generation but the critical Marangoni number can be increased through the use of feedback control.
first_indexed 2025-11-15T07:59:46Z
format Article
id upm-14742
institution Universiti Putra Malaysia
institution_category Local University
language English
last_indexed 2025-11-15T07:59:46Z
publishDate 2010
publisher Springer
recordtype eprints
repository_type Digital Repository
spelling upm-147422019-11-01T01:30:20Z http://psasir.upm.edu.my/id/eprint/14742/ Feedback control of the Marangoni-Bénard convection in a horizontal fluid layer with internal heat generation Bachok @ Lati, Norfifah Md. Arifin, Norihan Feedback control is applied to the steady Marangoni-Bénard convection in a horizontal layer of fluid with internal heat generation heated from below and cooled from above. The analytical technique is used to obtain the close form analytical expression for the onset of Marangoni-Bénard convection when the lower boundary is conducting. The effects of feedback control are studied by examining the critical Marangoni numbers and wave numbers. It is shown that the critical Marangoni number decreases as the value of internal heat generation but the critical Marangoni number can be increased through the use of feedback control. Springer 2010 Article PeerReviewed text en http://psasir.upm.edu.my/id/eprint/14742/1/Feedback%20control%20of%20the%20Marangoni-B%C3%A9nard%20convection%20in%20a%20horizontal%20fluid%20layer%20with%20internal%20heat%20generation.pdf Bachok @ Lati, Norfifah and Md. Arifin, Norihan (2010) Feedback control of the Marangoni-Bénard convection in a horizontal fluid layer with internal heat generation. Microgravity Science and Technology, 22 (1). pp. 97-105. ISSN 0938-0108; ESSN: 1875-0494 https://link.springer.com/article/10.1007%2Fs12217-009-9129-5 10.1007/s12217-009-9129-5
spellingShingle Bachok @ Lati, Norfifah
Md. Arifin, Norihan
Feedback control of the Marangoni-Bénard convection in a horizontal fluid layer with internal heat generation
title Feedback control of the Marangoni-Bénard convection in a horizontal fluid layer with internal heat generation
title_full Feedback control of the Marangoni-Bénard convection in a horizontal fluid layer with internal heat generation
title_fullStr Feedback control of the Marangoni-Bénard convection in a horizontal fluid layer with internal heat generation
title_full_unstemmed Feedback control of the Marangoni-Bénard convection in a horizontal fluid layer with internal heat generation
title_short Feedback control of the Marangoni-Bénard convection in a horizontal fluid layer with internal heat generation
title_sort feedback control of the marangoni-bénard convection in a horizontal fluid layer with internal heat generation
url http://psasir.upm.edu.my/id/eprint/14742/
http://psasir.upm.edu.my/id/eprint/14742/
http://psasir.upm.edu.my/id/eprint/14742/
http://psasir.upm.edu.my/id/eprint/14742/1/Feedback%20control%20of%20the%20Marangoni-B%C3%A9nard%20convection%20in%20a%20horizontal%20fluid%20layer%20with%20internal%20heat%20generation.pdf