Thermoconvective instabilities in a vertical cylinder of water with maximum density effects part 2. Theory: Onset of convection

DOI10.1080/03091928308209044zbMath0513.76033OpenAlexW2101132118WikidataQ114640624 ScholiaQ114640624MaRDI QIDQ3659373

Christiane Normand, M. A. Azouni

Publication date: 1983

Published in: Geophysical & Astrophysical Fluid Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03091928308209044

zbMATH Keywords

critical Rayleigh numberwaterBoussinesq equationsvertical cylinderlinear analysisonset of convectionmaximum densitylarge aspect ratioaxisymmetricalcombined influence of sidewalls and nonlinear density gradientdensity anomaly near 4oCgravitionally unstablenon symmetrical axial velocitythermoconvective

Mathematics Subject Classification ID

Absolute and convective instability and stability in hydrodynamic stability (76E15) Nonlinear effects in hydrodynamic stability (76E30) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Interfacial stability and instability in hydrodynamic stability (76E17) Hydrodynamic stability (76E99) Basic methods in fluid mechanics (76M99)

Related Items

Penetrative convection in an internally heated layer of water near the maximum density point ⋮ Unconditional nonlinear stability in penetrative convection: Corrected and extended numerical results ⋮ Nonlinear energy stability and convection near the density maximum ⋮ Energy methods for nonlinear stability in convection problems primarily related to geophysics

Cites Work

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• The method of weighted residuals and variational principles. With application in fluid mechanics, heat and mass transfer
• Thermoconvective instability in a bounded cylindrical fluid layer
• Finite amplitude axisymmetric thermoconvective flows in a bounded cylindrical layer of fluid
• The stability of axisymmetric convection
• Non-stationary finite amplitude convection
• On the principle of exchange of stabilities
• Buoyancy-driven convection in cylindrical geometries
• Penetrative Convection.

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