The DOI matches its Crossref record; 17 of the 17 references it cites were found in a registry or an index.
Three-Dimensional Features of Thermal Convection in a Plane Couette Flow
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The stability of longitudinal rolls is unaffected by shear, whereas the critical Rayleigh number for transverse rolls is increased by shear.
“This work has shown that the stability of longitudinal rolls, whose axes lie in the direction of the shearing flow, is unaffected by the shear, whereas the critical Rayleigh number for the onset of convection as transverse rolls is increased by the shear flow.”
From Speculations on the Thermal and Tectonic History of the Earth (2007) · cites this paper as Asai 1970
Section 7 (page unavailable) says stronger shear suppresses transverse perturbations but not longitudinal ones, supporting the claimed contrast. The passages report reduced amplification and a critical Richardson number at a fixed Rayleigh number; they do not establish that the critical Rayleigh number for transverse-roll onset increases with shear. (LLM, conf=0.84)
Experimental — accuracy not yet measuredTransverse rolls transfer energy to the main flow and are therefore more difficult to excite.
“Asai (1970) has discussed the transfer of energy between the perturbation and the main flow in some detail, and has demonstrated that transverse rolls transfer energy to the main flow and for this reason are more difficult to excite.”
From Speculations on the Thermal and Tectonic History of the Earth (2007) · cites this paper as Asai (1970)
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Citations
Cites
The algebraic eigenvalue problem
Wilkinson, J. H. (1965) · Cited by 5,833
The Algebraic Eigenvalue Problem
I., E., & Wilkinson, J. H. (1966) · Mathematics of Computation · doi:10.2307/2003558 · Cited by 5,208
The QR Transformation A Unitary Analogue to the LR Transformation--Part 1
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Effect of variation in density on the stability of superposed streams of Fluid
Taylor, G. I. (1931) · Proceedings of the Royal Society of London Series A Containing Papers of a Mathematical and Physical Character · doi:10.1098/rspa.1931.0115 · Cited by 421
Stability of Inviscid Plane Couette Flow
Case, K. M. (1960) · The Physics of Fluids · doi:10.1063/1.1706010 · Cited by 400
Francis, J. G. F. (1962) · The Computer Journal · doi:10.1093/comjnl/4.4.332 · Cited by 384
Numerical Simulation of Two-Dimensional Turbulence
Lilly, D. K. (1969) · The Physics of Fluids · doi:10.1063/1.1692444 · Cited by 250
Some cases of instability in fluid motion
Jeffreys, H. (1928) · Proceedings of the Royal Society of London Series A Containing Papers of a Mathematical and Physical Character · doi:10.1098/rspa.1928.0045 · Cited by 249
Perturbations of Plane Couette Flow in Stratified Fluid and Origin of Cloud Streets
Kuo, H. L. (1963) · The Physics of Fluids · doi:10.1063/1.1706719 · Cited by 174
Instability of Fluids Heated from below
Chandra, K. (1938) · Proceedings of the Royal Society of London A Mathematical and Physical Sciences · doi:10.1098/rspa.1938.0015 · Cited by 140
Gravitational Instability between Horizontal Plates with Shear
Deardorff, J. W. (1965) · The Physics of Fluids · doi:10.1063/1.1761351 · Cited by 118
Shear patterns in an unstable layer of air
Graham, A. (1933) · Philosophical Transactions of the Royal Society of London Series A Containing Papers of a Mathematical or Physical Character · doi:10.1098/rsta.1934.0008 · Cited by 82
On the behaviour of small disturbances in plane Couette flow with a temperature gradient
Gallagher, A. P., & Mercer, A. M. (1965) · Proceedings of the Royal Society of London A Mathematical and Physical Sciences · doi:10.1098/rspa.1965.0133 · Cited by 79
Convective instabilities in plane couette flow
Ingersoll, A. P. (1966) · The Physics of Fluids · doi:10.1063/1.1761733 · Cited by 72
Cumulus Convection in the Atmosphere with Vertical
Asai, T. (1964) · Journal of the Meteorological Society of Japan Ser II · doi:10.2151/jmsj1923.42.4_245 · Cited by 63
Self-citationStability of an Idealized Atmosphere. II. Zeros of the Confluent Hypergeometric Function
Dyson, F. J. (1960) · The Physics of Fluids · doi:10.1063/1.1706012 · Cited by 36
Asai, T., & Nakasuji, I. (1968) · Institutional Repositories DataBase (IRDB) · Cited by 2
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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
Metadata
- Authors
- Asai, T.
- Affiliations
- NSF National Center for Atmospheric Research (US)
- Corresponding author
- Asai, Tomio
- Venue
- Journal of the Meteorological Society of Japan. Ser. II
- Published
- 1970
- Volume
- 48
- Issue
- 1
- Pages
- 18-29
- ISSN
- 0026-1165 (ISSN-L)
- 2186-9057
- OpenAlex
- W2347105982
- Cited by
- 102
- References
- 17
- Citations by year
- 2026: 1 · 2025: 2 · 2024: 3 · 2023: 1 · 2019: 4 · 2018: 4 · 2017: 1 · 2016: 1 · 2015: 1 · 2014: 3 · 2013: 1 · 2012: 1
- FWCI
- 8.13
- Type
- journal article
- Language
- en
- Open access
- bronze
- doi.org
- Locations
- Journal of the Meteorological Society of Japan Ser II (publishedVersion)
- Funders
- National Science Foundation
- Eli Lilly and Company
- National Center for Atmospheric Research
- Topics
- Physical Sciences › Engineering › Computational Mechanics › Fluid Dynamics and Turbulent Flows
- Physical Sciences › Earth and Planetary Sciences › Atmospheric Science › Meteorological Phenomena and Simulations
- Physical Sciences › Earth and Planetary Sciences › Oceanography › Oceanographic and Atmospheric Processes
- Keywords
- thermal convection, plane Couette flow, unstable stratification, linearized Boussinesq equation, perturbation stability, Richardson number, transverse perturbations, longitudinal perturbations, three-dimensional disturbances, energy conversion, wave number dependence
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