Accession Number : AD0274779

Title :   THE NONLINEAR INTERACTION OF TWO DISTURBANCES IN THE THERMAL CONVECTION PROBLEM

Corporate Author : RENSSELAER POLYTECHNIC INST TROY N Y

Personal Author(s) : SEGEL,LEE A.

Report Date : 20 FEB 1962

Pagination or Media Count : 1

Abstract : In the thermal convection problem with free boundaries, the interaction of two roll disturbances is considered. The problem is reduced to a pair of nonlinear ordinary differential equations, which should also provide a model for the interaction of two disturbances in more general situations than that for which these equations have been derived. The equations contain several parameters which necessitates a discussion of several possible types of solution. Under certain circumstances, an equilibrium state may be composed of a mixture of a linearly stable disturbance and a linearly unstable disturbance. For the thermal convection problem, when the Rayleigh number is slightly above the minimum critical value, the equilibrium state will contain only one of two linearly unstable disturbances. Results are compared with experimental observations. (Author)

Descriptors :   *CONVECTION, *THERMAL CONDUCTIVITY, *THERMAL DIFFUSION, MATHEMATICAL ANALYSIS, NONLINEAR DIFFERENTIAL EQUATIONS, PERIODIC VARIATIONS, PERTURBATION THEORY, STABILITY, TEMPERATURE, VISCOSITY

Distribution Statement : APPROVED FOR PUBLIC RELEASE