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Bénard-Marangoni Instability in an Open Vertical Cylinder With Lateral Heating

[+] Author Affiliations
B. Xu, X. Ai, B. Q. Li

Washington State University

Paper No. IMECE2005-81857, pp. 963-968; 6 pages
doi:10.1115/IMECE2005-81857
From:
  • ASME 2005 International Mechanical Engineering Congress and Exposition
  • Heat Transfer, Part B
  • Orlando, Florida, USA, November 5 – 11, 2005
  • Conference Sponsors: Heat Transfer Division
  • ISBN: 0-7918-4222-3 | eISBN: 0-7918-3769-6
  • Copyright © 2005 by ASME

abstract

A linear stability analysis of Rayleigh-Bénard-Marangoni flow of low Prandtl number fluid contained in an open vertical cylinder is presented. The cylinder is heated laterally and is cooled at top surface by radiation. Governing equations of the flow are solved for axisymmetric base flow using higher order finite difference scheme. Small perturbation was applied to the obtained base flow to determine the critical Marangoni number and Grashof number at which the axisymmetry is broken. The eigenvalue matrix equation is solved using linear fractional transformation with banded matrix structure taken into account. It is found that the thermocapillary effect stabilizes the convective flow driven by buoyancy.

Copyright © 2005 by ASME
Topics: Cylinders , Heating

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