Numerical Simulation and Linear Stability Analysis of Convection with a Free Surface

DOI 11 References
  • Zhou Weidong
    Doctoral Program in Institute of Information Sciences and Electronics, University of Tsukuba
  • Imai Hitoshi
    Faculty of Engineering, The University of Tokushima
  • Natori Makoto
    Institute of Information Sciences and Electronics University of Tsukuba

Bibliographic Information

Other Title
  • 自由表面を有する熱対流の数値シミュレーションと線形安定性解析

Search this article

Abstract

The two-dimensional periodic Bcnard convection with a deformable free surface is simulated by a spectral method developed tere. Bifurcation phenomena between the static flow and the steady convection rolls are analyzed here. Our aim is to study the effect of a free surface and its surface tension in the Benard convection in comparison with the convection with a rigid surface. Numerical results reveal that when the Rayleigh number is larger than the critical Rayleigh number there exists a steady solution of convection rolls with a curved free surface. The value of the critical Rayleigh number for the convection with a free surface is smaller than that for the convection with a rigid surface. Furthermore, the investigations of the critical Rayleigh number by a linear stability theory support these results.

Journal

References(11)*help

See more

Details 詳細情報について

  • CRID
    1390001205768501248
  • NII Article ID
    110001883567
  • NII Book ID
    AN10367166
  • DOI
    10.11540/jsiamt.4.1_27
  • ISSN
    24240982
  • Text Lang
    ja
  • Data Source
    • JaLC
    • CiNii Articles
  • Abstract License Flag
    Disallowed

Report a problem

Back to top