On preferred wave numbers of twodimensional perturbations in the problem of convection in a horizontal layer
Abstract
Over a range of Reynolds numbers exceeding a critical number, thermal convection in a flat horizontal layer of fluid heated from below occurs as a stationary ordered system of convection cells. Recent results which are important for understanding the mechanism of convection do not treat the problem of distinguishing the preferred mode of convection from the initial noise. In an attempt to treat this question, this paper considers the nonlinear problem with a continuous spectrum of perturbations and assumes that at the initial moment the velocity and temperature fields contain all possible wave numbers from a certain spectral band.
 Publication:

Akademiia Nauk SSSR Doklady
 Pub Date:
 February 1980
 Bibcode:
 1980DoSSR.250..826G
 Keywords:

 Convective Heat Transfer;
 Fluid Mechanics;
 Free Convection;
 Perturbation Theory;
 Reynolds Number;
 Two Dimensional Flow;
 Boundary Layer Flow;
 Boundary Value Problems;
 Boussinesq Approximation;
 Finite Element Method;
 Flow Velocity;
 Temperature Distribution;
 Thermodynamics;
 Fluid Mechanics and Heat Transfer