International Journal of Mathematics and Mathematical Sciences 
Volume 2004 (2004), Issue 19, Pages 991-1001
doi:10.1155/S0161171204211541

Effects of modulation on Rayleigh-Benard convection. Part I

B. S. Bhadauria1,2 and Lokenath Debnath3

 1Department of Mathematics and Statistics, Jai Narain Vyas University, Jodhpur 342001, India
2Department of Mathematics, Eritrea Institute of Technology, Asmara, Eritrea
3Department of Mathematics, University of Texas - Pan American, Edinburg 78539-2999, TX, USA
Received 10 November 2002; Revised 9 February 2003

Abstract

The linear stability of a horizontal layer of fluid heated from below and above is considered. In addition to a steady temperature difference between the walls of the fluid layer, a time-dependent periodic perturbation is applied to the wall temperatures. Only infinitesimal disturbances are considered. Numerical results for the critical Rayleigh number are obtained at various Prandtl numbers and for various values of the frequency. Some comparisons have been made with the known results.