Structural Stability of the Pitchfork Bifurcation of Thermal Convection in a Rectangular Cavity

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概要

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• Thermal convection in a two-dimensional rectangular cavity heated from below appears as a result of the pitchfork bifurcation of the motionless state when the cavity is placed horizontally. The structural stability of the pitchfork bifurcation to the tilt of the cavity is investigated by the weakly nonlinear stability theory. The four sides of the cavity are assumed to be rigid and perfectly thermal conducting. It is shown that the pitchfork bifurcation is structurally unstable to the tilt of the cavity if the bifurcated flow is anti-symmetric, and is structurally stable if it is symmetric in the horizontal direction. The results obtained from the weakly nonlinear stability theory are compared with the numerical results calculated directly from the basic equations by the Newton-Raphson method.

• 社団法人日本物理学会の論文
• 1995-12-15

著者

• Adachi Takahiro

  Department of immunology, Medical Research Institute, Tokyo Medical and Dental University

• MIZUSHIMA Jiro

  Department of Information Science,Sagami Institute of Technology

• Adachi Takahiro

  Department Of Applied Biological Sciences School Of Agricultural Sciences Nagoya University

• Mizushima Jiro

  Department Of Information Science Sagami Institute Of Technology

• Adachi Takahiro

  Department Of Mechanical Engineering Faculty Of Engineering Doshisha University

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