On the onset of free convection in a rectangular channel

DOI10.1515/jnet.1981.6.3.141zbMath0496.76041OpenAlexW2053097113MaRDI QIDQ1170076

J. K. Platten, J. M. Luijkx

Publication date: 1981

Published in: Journal of Non-Equilibrium Thermodynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/jnet.1981.6.3.141

zbMATH Keywords

critical wavenumberonset of convectionrectangular cross sectioninfinite channelheated from belowfinite transverse rollsGlansdorff and Prigogine local potential criterialongitudinal rollsthree dimensional transverse rollsvarious aspect ratios

Mathematics Subject Classification ID

Absolute and convective instability and stability in hydrodynamic stability (76E15) Free convection (76R10)

Related Items (9)

The use of symmetry in bifurcation calculations and its application to the Bénard problem ⋮ Characterization of dispersive chaos and related states of binary-fluid convection ⋮ Global linear instability analysis of thermal convective flow using the linearized lattice Boltzmann method ⋮ Different modes of Rayleigh-Bénard instability in two- and three-dimensional rectangular enclosures ⋮ Convective regimes in reactive fluid media due to the interaction with catalytic surfaces ⋮ Natural doubly diffusive convection in three-dimensional enclosures ⋮ Stochastic bifurcation analysis of Rayleigh–Bénard convection ⋮ Pattern formations of 2D Rayleigh-Bénard convection with no-slip boundary conditions for the velocity at the critical length scales ⋮ Bifurcation phenomena in a convection problem with temperature dependent viscosity at low aspect ratio

Cites Work

• Convective instability of a hydromagnetic fluid within a rectangular cavity
• Convection in a box: linear theory
• Thermal convection in an infinite channel with no-slip sidewalls

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