Stability of buoyancy-driven convection in a tilted slot
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In non-uniform shear flow, longitudinal rolls are also preferred.
“Convection in a non-uniform shear flow has also been extensively studied (Ogura & Yagihashi 1969; Nakayama, Hwang & Cheng 1970; Liang & Acrivos 1970; Akiyama, Hwang & Cheng 1971) and here also longitudinal rolls are preferred.”
From Speculations on the Thermal and Tectonic History of the Earth (2007) · cites this paper as Liang & Acrivos 1970
Cites
Hydrodynamic and Hydromagnetic Stability
Chandrasekhar, S., & Gillis, J. (1962) · Physics Today · doi:10.1063/1.3058072 · Cited by 10,517 · see citing works
Hydrodynamic and hydromagnetic stability
Chandrasekhar, S. (1961) · CERN Document Server (European Organization for Nuclear Research) · Cited by 6,543 · see citing works
Distant side-walls cause slow amplitude modulation of cellular convection
Segel, L. A. (1969) · Journal of Fluid Mechanics · doi:10.1017/s0022112069000127 · Cited by 742 · see citing works
On the stability of steady finite amplitude convection
Schlüter, A., Lortz, D., & Busse, F. H. (1965) · Journal of Fluid Mechanics · doi:10.1017/s0022112065001271 · Cited by 679 · see citing works
The stability of finite amplitude cellular convection and its relation to an extremum principle
Busse, F. H. (1967) · Journal of Fluid Mechanics · doi:10.1017/s0022112067001661 · Cited by 547 · see citing works
Convection in a box: linear theory
Davis, S. H. (1967) · Journal of Fluid Mechanics · doi:10.1017/s0022112067001545 · Cited by 315 · see citing works
On the tendency towards hexagonal cells in steady convection
Palm, E. (1960) · Journal of Fluid Mechanics · doi:10.1017/s0022112060000530 · Cited by 269 · see citing works
Stability of natural convection in a vertical slot
Vest, C. M., & Arpacı, V. S. (1969) · Journal of Fluid Mechanics · doi:10.1017/s0022112069001467 · Cited by 203 · see citing works
Gravitational Instability between Horizontal Plates with Shear
Deardorff, J. W. (1965) · The Physics of Fluids · doi:10.1063/1.1761351 · Cited by 118 · see citing works
Experiments on the cellular structure in bénard convection
Hoard, C. Q., Robertson, C. R., & Acrivos, A. (1970) · International Journal of Heat and Mass Transfer · doi:10.1016/0017-9310(70)90130-4 · Cited by 89 · see citing works
Self-citationNatural Convection in Horizontal Liquid Layers
Catton, I. (1966) · The Physics of Fluids · doi:10.1063/1.1761648 · Cited by 49 · see citing works
Hydbodynamic and thermal instability of a steady convective flow
Birikh, R. V., Gershuni, G. Z., Zhukhovitskii, E. M., et al. (1968) · Journal of Applied Mathematics and Mechanics · doi:10.1016/0021-8928(68)90125-1 · Cited by 33 · see citing works
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Speculations on the Thermal and Tectonic History of the Earth
McKenzie, D., & Weiss, N. (2007) · Geophysical Journal of the Royal Astronomical Society · doi:10.1111/j.1365-246x.1975.tb05855.x · Cited by 335 · see citing works
- Authors
- Liang, S. F., & Acrivos, A.
- Affiliations
- Stanford University (US)
- Venue
- International Journal of Heat and Mass Transfer
- Publisher
- Elsevier BV
- Published
- 1970-03
- Volume
- 13
- Issue
- 3
- Pages
- 449-458
- ISSN
- 0017-9310 (ISSN-L)
- OpenAlex
- W2080525117
- Cited by
- 22
- References
- 12
- Citations by year
- 2026: 1 · 2024: 1 · 2023: 1 · 2014: 1
- FWCI
- 5.34
- Type
- journal article
- Language
- en
- Open access
- closed
- Locations
- International Journal of Heat and Mass Transfer (publishedVersion)
- Funders
- U.S. Department of the Interior
- Topics
- Physical Sciences › Engineering › Computational Mechanics › Fluid Dynamics and Turbulent Flows
- Physical Sciences › Engineering › Computational Mechanics › Fluid dynamics and aerodynamics studies
- Physical Sciences › Engineering › Computational Mechanics › Heat Transfer and Numerical Methods
- Keywords
- buoyancy-driven convection, hydrodynamic stability, linear stability analysis, Rayleigh number, critical wave number, longitudinal rolls, secondary flow, mean flow
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