Range of Validity of Weakly Nonlinear Theory in the Rayleigh–Bénard Problem

スポンサーリンク

概要

• 論文の詳細を見る

• In this paper we examine the equilibrium states of finite amplitude flow in a horizontal fluid layer with differential heating between the two rigid boundaries. The solutions to the Navier–Stokes equations are obtained by means of a perturbation method for evaluating the Landau constants and through a Newton–Raphson iterative method that results from the Fourier expansion of the solutions that bifurcate above the linear stability threshold of infinitesimal disturbances. The results obtained from these two different methods of evaluating the convective flow are compared in the neighborhood of the critical Rayleigh number. We find that for small Prandtl numbers the discrepancy of the two methods is noticeable.

• 2009-08-15

著者

• Fujimura Kaoru

  Department Of Applied Mathematics And Physics Faculty Of Engineering Tottori University

• Fujimura Kaoru

  Department of Applied Mathematics and Physics, Tottori University, Tottori 680-8552

• Generalis Sotos

  Aston University, School of Engineering and Applied Sciences, Birmingham B4 7ET, U.K.

関連論文

• Population Dynamics of a Competition-Predation System of Four Species
• Stability of Localized Pulse Trains with a Long Tail in the Generalized Kuramoto-Sivashinsky Equation(Electromagnetism, optics, acoustics, heat transfer, classical mechanics, and fluid mechanics)
• Folded Solution Branches in Rayleigh-Benard Convection in the Presence of Avoided Crossings of Neutral Stability Curves (Electromagnetism, Optics, Acoustics, Heat Transfer, Classical Mechanics and Fluid Mechanics)
• The onset of penetrative double-diffusive convection
• Range of Validity of Weakly Nonlinear Theory in the Rayleigh–Bénard Problem
• Linear and Weakly Nonlinear Stability of Marangoni Convection in a Liquid Bridge

スポンサーリンク