Skip to main content
    • Aa
    • Aa

Effect of modulation on the onset of thermal convection

  • Giulio Venezian (a1) (a2)

The stability of a horizontal layer of fluid heated from below is examined when, in addition to a steady temperature difference between the walls of the layer, a time-dependent sinusoidal perturbation is applied to the wall temperatures. Only infinitesimal disturbances are considered. The effects of the oscillating temperature field are treated by a perturbation expansion in powers of the amplitude of the applied field. The shift in the critical Rayleigh number is calculated as a function of frequency, and it is found that it is possible to advance or delay the onset of convection by time modulation of the wall temperatures.

Hide All
Chandrasekhar, S.1961 Hydrodynamic and Hydromagnetic Stability. Oxford University Press.
Donnelly, R. J.1964 Proc. Roy. Soc. A, 281, 130.
Ingersoll, A.1966 Phys. Fluids, 9, 682.
Krishnamurti, R. E.1967 Ph.D. Dissertation, University of California. Los Angeles.
Malkus, W. V. R. & Veronis, G.1958 J. Fluid Mech. 4, 225.
Schlüter, A., Lortz, D. & Busse, F.1965 J. Fluid Mech. 23, 129.
Veronis, G.1963 Astrophys. J. 137, 641.
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? *


Full text views

Total number of HTML views: 0
Total number of PDF views: 13 *
Loading metrics...

Abstract views

Total abstract views: 186 *
Loading metrics...

* Views captured on Cambridge Core between September 2016 - 19th October 2017. This data will be updated every 24 hours.