Convective stability in the Rayleigh–Bénard and directional solidification problems: High-frequency gravity modulation

DOI10.1063/1.857830zbMath0746.76040OpenAlexW2030995284MaRDI QIDQ4001052

G. B. McFadden, S. R. Coriell, Bruce T. Murray, Adam A. Wheeler

Publication date: 26 September 1992

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

Full work available at URL: https://doi.org/10.1063/1.857830

zbMATH Keywords

matched asymptotic expansionsstability criteriaFloquet theorysolutal convectionboundary-layer structurefull linear stability equations

Mathematics Subject Classification ID

Absolute and convective instability and stability in hydrodynamic stability (76E15) Stefan problems, phase changes, etc. (80A22)

Related Items (10)

Convective stability of gravity-modulated doubly cross-diffusive fluid layers ⋮ Study of the parametric oscillator driven by narrow-band noise to model the response of a fluid surface to time-dependent accelerations ⋮ Gravity-modulated Rayleigh-Bénard convection in a Newtonian liquid bounded by rigid-free boundaries: a comparative study with other boundary conditions ⋮ The effect of gravity modulation on thermosolutal convection in an infinite layer of fluid ⋮ Rayleigh-Bénard convection of water-aluminum and water-AA7075 nanoliquids in a vertically vibrated very-shallow cylinder ⋮ Study of mass transport in rotating couple stress liquid under concentration modulation ⋮ Directional solidification into static stability ⋮ Low-gravity sideways double-diffusive instabilities ⋮ Morphological stability analysis of directional solidification into an oscillatory fluid layer ⋮ Onset of filtration convection in a vibrating medium: The Brinkman model

Cites Work

• Vibrational convection in a horizontal fluid layer with internal heat sources
• Hydrodynamic stability of the melt during solidification of a binary alloy
• Natural convection in a long vertical cylinder under gravity modulation
• Computational Solution of Linear Two-Point Boundary Value Problems via Orthonormalization
• The effects of gravity modulation on the stability of a heated fluid layer

This page was built for publication: Convective stability in the Rayleigh–Bénard and directional solidification problems: High-frequency gravity modulation