Skip to main content
    • Aa
    • Aa
  • Get access
    Check if you have access via personal or institutional login
  • Cited by 180
  • Cited by
    This article has been cited by the following publications. This list is generated based on data provided by CrossRef.

    Khorasany, Rahim M Khayat, Roger E and Niknami, Mohammad 2016. Nonlinear thermal convection of a non-Fourier fluid. International Journal of Numerical Methods for Heat & Fluid Flow, Vol. 26, Issue. 3/4, p. 639.

    Jovanović, Miloš M. Nikodijević, Jelena D. and Nikodijević, Milica D. 2015. Rayleigh–Bénard convection instability in the presence of spatial temperature modulation on both plates. International Journal of Non-Linear Mechanics, Vol. 73, p. 69.

    Krekhov, Alexei Dressel, Bernd Pesch, Werner Delev, Vladimir and Batyrshin, Eduard 2015. Spatiotemporal complexity of electroconvection patterns in nematic liquid crystals. Physical Review E, Vol. 92, Issue. 6,

    Wei, Ping Weiss, Stephan and Ahlers, Guenter 2015. Multiple Transitions in Rotating Turbulent Rayleigh-Bénard Convection. Physical Review Letters, Vol. 114, Issue. 11,

    Deteix, J. Jendoubi, A. and Yakoubi, D. 2014. A Coupled Prediction Scheme for Solving the Navier--Stokes and Convection-Diffusion Equations. SIAM Journal on Numerical Analysis, Vol. 52, Issue. 5, p. 2415.

    Dritselis, C.D. and Knaepen, B. 2014. Mixed convection of a low Prandtl fluid with spatially periodic lower wall heating in the presence of a wall-normal magnetic field. International Journal of Heat and Mass Transfer, Vol. 74, p. 35.

    Niebling, Michael J. Tallakstad, Ken Tore Toussaint, Renaud and Måløy, Knut Jørgen 2014. Direct velocity measurement of a turbulent shear flow in a planar Couette cell. Physical Review E, Vol. 89, Issue. 1,

    Sathiyamoorthy, M. and J. Chamkha, Ali 2014. Analysis of natural convection in a square cavity with a thin partition for linearly heated side walls. International Journal of Numerical Methods for Heat & Fluid Flow, Vol. 24, Issue. 5, p. 1057.

    Lappa, Marcello 2013. On the existence and multiplicity of one-dimensional solid particle attractors in time-dependent Rayleigh-Bénard convection. Chaos: An Interdisciplinary Journal of Nonlinear Science, Vol. 23, Issue. 1, p. 013105.

    Liang, Shin-Jye Jan, Yih-Jena and Huang, Ching-An 2013. A Quasi-Implicit Time-Advancing Scheme for 3-D Rayleigh-Bénard Convection. Numerical Heat Transfer, Part B: Fundamentals, Vol. 63, Issue. 5, p. 371.

    Stubbe, Marco Gyurova, Anna and Gimsa, Jan 2013. Experimental verification of an equivalent circuit for the characterization of electrothermal micropumps: High pumping velocities induced by the external inductance at driving voltages below 5 V. ELECTROPHORESIS, Vol. 34, Issue. 4, p. 562.

    Yanagisawa, Takatoshi Hamano, Yozo Miyagoshi, Takehiro Yamagishi, Yasuko Tasaka, Yuji and Takeda, Yasushi 2013. Convection patterns in a liquid metal under an imposed horizontal magnetic field. Physical Review E, Vol. 88, Issue. 6,

    Jalikop, Shreyas V. and Juel, Anne 2012. Oscillatory transverse instability of interfacial waves in horizontally oscillating flows. Physics of Fluids, Vol. 24, Issue. 4, p. 044104.

    Nicolas, Xavier Zoueidi, Noussaiba and Xin, Shihe 2012. Influence of a white noise at channel inlet on the parallel and wavy convective instabilities of Poiseuille-Rayleigh-Bénard flows. Physics of Fluids, Vol. 24, Issue. 8, p. 084101.

    Weiss, S Seiden, G and Bodenschatz, E 2012. Pattern formation in spatially forced thermal convection. New Journal of Physics, Vol. 14, Issue. 5, p. 053010.

    2012. Rotating Thermal Flows in Natural and Industrial Processes.

    Mergui, S. Nicolas, X. and Hirata, S. 2011. Sidewall and thermal boundary condition effects on the evolution of longitudinal rolls in Rayleigh-Bénard-Poiseuille convection. Physics of Fluids, Vol. 23, Issue. 8, p. 084101.

    Paul, Supriyo Wahi, Pankaj and Verma, Mahendra K. 2011. Bifurcations and chaos in large-Prandtl number Rayleigh–Bénard convection. International Journal of Non-Linear Mechanics, Vol. 46, Issue. 5, p. 772.

    Perkins, Adam C. Grigoriev, Roman O. and Schatz, Michael F. 2011. Modal Spectra Extracted from Nonequilibrium Fluid Patterns in Laboratory Experiments on Rayleigh-Bénard Convection. Physical Review Letters, Vol. 107, Issue. 6,

    Weliwita, J. A. Rucklidge, A. M. and Tobias, S. M. 2011. Skew-varicose instability in two-dimensional generalized Swift-Hohenberg equations. Physical Review E, Vol. 84, Issue. 3,


Instabilities of convection rolls in a fluid of moderate Prandtl number

  • F. H. Busse (a1) and R. M. Clever (a1)
  • DOI:
  • Published online: 01 April 2006

The instabilities of two-dimensional convection rolls in a horizontal fluid layer heated from below are investigated in the case when the Prandtl number is seven or lower. Two new mechanisms of instability are described theoretically as well as experimentally. The knot instability causes the transition to spoke-pattern convection at higher Rayleigh numbers while the skewed varicose instability accomplishes a change to larger horizontal wavelengths of the convection rolls. Both instabilities disappear in the limits of small and large Prandtl number. Although the experimental methods fail in realizing closely the infinitely conducting boundaries assumed in the theory, the observations agree in all qualitative aspects with the theoretical predictions.

Recommend this journal

Email your librarian or administrator to recommend adding this journal to your organisation's collection.

Journal of Fluid Mechanics
  • ISSN: 0022-1120
  • EISSN: 1469-7645
  • URL: /core/journals/journal-of-fluid-mechanics
Please enter your name
Please enter a valid email address
Who would you like to send this to? *