An analysis of near-marginal, mildly penetrative convection with heat flux prescribed on the boundaries

DOI10.1017/S0022112085002555zbMath0604.76031MaRDI QIDQ3741273

Anthony Roberts

Publication date: 1985

Published in: Journal of Fluid Mechanics (Search for Journal in Brave)

zbMATH Keywords

linear analysisasymptotic theoryhigher-order correctionsnonlinear asymptotic analysistechnique of reconstitutionhorizontally long convection cellsice-water convectionnear-marginal, mildly penetrative convectionpenetrative-convection problemstationary penetrative convection

Mathematics Subject Classification ID

Absolute and convective instability and stability in hydrodynamic stability (76E15) Multiphase and multicomponent flows (76T99) Basic methods in fluid mechanics (76M99)

Related Items (8)

Shear dispersion ⋮ Penetrative convection in an internally heated layer of water near the maximum density point ⋮ Marginal regions for the solute Bénard problem with many types of boundary conditions ⋮ Fixed-flux convection in a tilted slot ⋮ Mode interactions in Rayleigh-Bénard convection ⋮ Multiple equilibria in two-dimensional thermohaline circulation ⋮ Rotating porous convection with prescribed heat flux ⋮ A model for the evolution of the thermal bar system

Cites Work

• The onset of transient convective instability
• Nonlinear Rayleigh–Bénard convection between poorly conducting boundaries
• Asymptotic Solutions of a 6th Order Differential Equation with Two Turning Points. Part I: Derivation by Method of Steepest Descent
• Penetrative Convection.

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