On the stability of space-periodic convective flows in a vertical layer with sinuous boundaries

DOI10.1016/0021-8928(79)90034-0zbMath0468.76079OpenAlexW1547039695MaRDI QIDQ1156620

S. H. Smith

Publication date: 1979

Published in: Journal of Applied Mathematics and Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-8928(79)90034-0

zbMATH Keywords

space-periodic flowscurved boundariesplane-parallel flowvertical layerGrashof critical numbermethod of amplitude functionssinuous boundariessupercritical region

Mathematics Subject Classification ID

Absolute and convective instability and stability in hydrodynamic stability (76E15) Nonlinear effects in hydrodynamic stability (76E30) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Forced convection (76R05)

Related Items (2)

Nonlinear dynamics of a two-layer system under the action of spatial temperature modulation of an interfacial heat release ⋮ On mixed convection modes in a vertical layer with unsteadily deformable boundaries

Cites Work

• Unnamed Item
• Flow of a viscous fluid in a closed cavity in the presence of slip effects
• Numerical investigation of convective motion in a closed cavity
• On oscillatory instability of plane-parallel convective motion in a vertical channel
• A non-linear instability theory for a wave system in plane Poiseuille flow
• The effect of sinusoidal protrusions on laminar free convection between vertical walls
• On the Nature of the Spectrum of Singular Second Order Linear Differential Equations

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