Modelling of Marangoni convection using proper orthogonal decomposition

Md Arifin, Norihan and Md Noorani, Mohd Salmi and Kilicman, Adem (2007) Modelling of Marangoni convection using proper orthogonal decomposition. Nonlinear Dynamics, 48 (3). pp. 331-337. ISSN 0924-090X

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Official URL: http://dx.doi.org/10.1007/s11071-006-9052-x

Abstract

Proper orthogonal decomposition (POD) is applied to Marangoni convection in a horizontal fluid layer heated from below and cooled from above with non-deformable free surface. We investigate two-dimensional Marangoni convection for the case of free-slip bottom in the limit of small Prandtl number. The POD technique is then used to the velocity and temperature data to obtain basis functions for both velocity and temperature fields. When these basis functions are used in a Galerkin procedure, the low-dimensional of Marangoni convection are constructed with the smallest possible degree of freedom. The results based on this low-dimensional model are discussed.

Item Type:Article
Keyword:Marangoni convection, Proper orthogonal decomposition, Low-dimensional model
Faculty or Institute:Faculty of Science
Publisher:Kluwer Academic Publishers
DOI Number:10.1007/s11071-006-9052-x
Altmetrics:http://www.altmetric.com/details.php?domain=psasir.upm.edu.my&doi=10.1007/s11071-006-9052-x
ID Code:7672
Deposited By: Najwani Amir Sariffudin
Deposited On:10 Aug 2010 04:46
Last Modified:10 Aug 2010 04:52

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