Stability of mixed-convection flow in a tall vertical channel under non-boussinesq conditions

DOI10.1017/S0022112095004022zbMath0853.76026OpenAlexW2000792837MaRDI QIDQ4887850

Sergey A. Suslov, Samuel Paolucci

Publication date: 6 August 1996

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

Full work available at URL: https://doi.org/10.1017/s0022112095004022

zbMATH Keywords

linear stabilityeigenvalue problemSquire's transformationcritical Grashof and Reynolds numbersintegral Chebyshev pseudo-spectral method

Mathematics Subject Classification ID

Absolute and convective instability and stability in hydrodynamic stability (76E15)

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Cites Work

• Chebyshev expansion methods for the solution of the extended Graetz problem
• An integral Chebyshev expansion method for boundary-value problems of O.D.E. type
• The validity of the Boussinesq approximation for liquids and gases
• Stability of natural convection flow in a tall vertical enclosure under non-Boussinesq conditions
• Multicellular natural convection in a vertical slot
• Stability analysis on the convection of a variable viscosity fluid in an infinite vertical slot
• Gas flow in open vertical slots with large horizontal temperature differences and arbitrary external temperature
• Stability of the conduction regime of natural convection in a tall vertical annulus
• Finite-amplitude instability of mixed convection
• The stability of finite amplitude cellular convection and its relation to an extremum principle
• Stability of natural convection in a vertical slot
• Accurate solution of the Orr–Sommerfeld stability equation