Skip to main content
Journal cover image

The effect of boundary properties on controlled Rayleigh-Benard convection

Publication ,  Journal Article
Howle, LE
Published in: Journal of Fluid Mechanics
May 25, 2000

We investigate the effect of the finite horizontal boundary properties on the critical Rayleigh and wave numbers for controlled Rayleigh-Benard convection in an infinite horizontal domain. Specifically, we examine boundary thickness, thermal diffusivity and thermal conductivity. Our control method is through perturbation of the lower-boundary heat flux. A linear proportional-differential control method uses the local amplitude of a shadowgraph to actively redistribute the lower-boundary heat flux. Realistic boundary conditions for laboratory experiments are selected. Through linear stability analysis we examine, in turn, the important boundary properties and make predictions of the properties necessary for successful control experiments. A surprising finding of this work is that for certain realistic parameter ranges, one may find an isola to time-dependent convection as the primary bifurcation.

Duke Scholars

Published In

Journal of Fluid Mechanics

DOI

ISSN

0022-1120

Publication Date

May 25, 2000

Volume

411

Start / End Page

39 / 58

Related Subject Headings

  • Fluids & Plasmas
  • 49 Mathematical sciences
  • 40 Engineering
  • 09 Engineering
  • 01 Mathematical Sciences
 

Citation

APA
Chicago
ICMJE
MLA
NLM
Howle, L. E. (2000). The effect of boundary properties on controlled Rayleigh-Benard convection. Journal of Fluid Mechanics, 411, 39–58. https://doi.org/10.1017/S0022112099007910
Howle, L. E. “The effect of boundary properties on controlled Rayleigh-Benard convection.” Journal of Fluid Mechanics 411 (May 25, 2000): 39–58. https://doi.org/10.1017/S0022112099007910.
Howle LE. The effect of boundary properties on controlled Rayleigh-Benard convection. Journal of Fluid Mechanics. 2000 May 25;411:39–58.
Howle, L. E. “The effect of boundary properties on controlled Rayleigh-Benard convection.” Journal of Fluid Mechanics, vol. 411, May 2000, pp. 39–58. Scopus, doi:10.1017/S0022112099007910.
Howle LE. The effect of boundary properties on controlled Rayleigh-Benard convection. Journal of Fluid Mechanics. 2000 May 25;411:39–58.
Journal cover image

Published In

Journal of Fluid Mechanics

DOI

ISSN

0022-1120

Publication Date

May 25, 2000

Volume

411

Start / End Page

39 / 58

Related Subject Headings

  • Fluids & Plasmas
  • 49 Mathematical sciences
  • 40 Engineering
  • 09 Engineering
  • 01 Mathematical Sciences