Non-Boussinesq effects on transitions in Hele–Shaw convection

DOI10.1063/1.857403zbMath0667.76063OpenAlexW2094858118MaRDI QIDQ3820223

Hsueh-Chia Chang, Shyh-Hong Hwang

Publication date: 1989

Published in: Physics of Fluids A: Fluid Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.857403

zbMATH Keywords

Boussinesq modelbuoyancy-induced convectioncenter manifold projection techniquedouble-roll convection patternsslender Hele-Shaw cell

Mathematics Subject Classification ID

Absolute and convective instability and stability in hydrodynamic stability (76E15) Basic methods in fluid mechanics (76M99)

Related Items (2)

Time-periodic thermal convection in Hele–Shaw slots: The diagonal oscillation ⋮ Spanwise pairing of finite-amplitude longitudinal vortex rolls in inclined free-convection boundary layers

Cites Work

• The application of centre manifolds to amplitude expansions. II. Infinite dimensional problems
• Multiple steady states for unicellular natural convection in an inclined porous layer
• The validity of the Boussinesq approximation for liquids and gases
• Instability of a viscous liquid of variable density in a vertical Hele-Shaw cell
• Onset of convection in a variable-viscosity fluid
• Oscillatory Hele-Shaw convection
• Splitting of Steady Multiple Eigenvalues May Lead to Periodic Cascading Bifurcation
• Square-pattern convection in fluids with strongly temperature-dependent viscosity
• The effect of rigid sidewalls on nonlinear two-dimensional Bénard convection
• Container geometry and the transition to unsteady Bénard convection in porous media
• Route to chaos in porous-medium thermal convection
• Rolls versus squares in thermal convection of fluids with temperature-dependent viscosity
• On the Smooth Transition to Convection
• Thermal convection in a Hele-Shaw cell
• Effects of Surface Curvature and Property Variation on Cellular Convection

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