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Analyzed is natural transient convection followed by steady-state convection in an elliptical cavity heated from below, using a spectral finite difference scheme in terms of a Dim expansion. The major or minor axis of the elliptic section of the cavity is assumed to be placed horizontally. As a thermal boundary condition, Dirichlet or Neumann condition is specified. Not only for nearly pure-heat conduction case at low Grashof numbers but also for strong convection flow with cellular patterns at larger Grashof numbers are found to be attained at least for some combination of Prandtl numbers and geometrical parameters.
Analyzed is natural transient convection followed by steady-state convection in an elliptical cavity heated from below, using a spectral finite difference scheme in terms of a Dim expansion. The major or minor axis of the elliptic section of the cavity is assumed to be placed to horizontally As a thermal boundary condition, Dirichlet or Neumann condition is specified. Not only for nearly pure-heat conduction case at low Grashof numbers but also for strong convection flow with cellular patterns at larger Grashof numbers are found to be attained at least for some combination of Prandtl numbers and geometrical parameters.