Modelling of marangoni convection using proper orthogonal decomposition

N. M. Arifin, Mohd. Salmi Md. Noorani, A. Kiliçman

Research output: Contribution to journalArticle

7 Citations (Scopus)

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.

Original languageEnglish
Pages (from-to)331-337
Number of pages7
JournalNonlinear Dynamics
Volume48
Issue number3
DOIs
Publication statusPublished - May 2007

Fingerprint

Marangoni Convection
Orthogonal Decomposition
Decomposition
Basis Functions
Modeling
Decomposition Techniques
Prandtl number
Temperature Field
Galerkin
Free Surface
Slip
Velocity Field
Temperature distribution
Horizontal
Degree of freedom
Fluid
Fluids
Convection
Temperature
Model

Keywords

  • Low-dimensional model
  • Marangoni convection
  • Proper orthogonal decomposition

ASJC Scopus subject areas

  • Mechanical Engineering
  • Mechanics of Materials
  • Computational Mechanics

Cite this

Modelling of marangoni convection using proper orthogonal decomposition. / Arifin, N. M.; Md. Noorani, Mohd. Salmi; Kiliçman, A.

In: Nonlinear Dynamics, Vol. 48, No. 3, 05.2007, p. 331-337.

Research output: Contribution to journalArticle

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