Accession Number:
AD0754228
Title:
On an Equation Related to Nonlinear Saturation of Convection Phenomena.
Descriptive Note:
Technical note,
Corporate Author:
MARYLAND UNIV COLLEGE PARK INST FOR FLUID DYNAMICS AND APPLIED MATHEMATICS
Personal Author(s):
Report Date:
1972-08-01
Pagination or Media Count:
25.0
Abstract:
A number of problems involving convection-like phenomena give rise to an equation of the form y double prime alphay - ay 0 when the problem is treated in the linear approximation. It is proposed that the description of nonlinear saturation of the convection process requires the introduction of a phenomenological cubic term with a positive coefficient to yield an equation of the form y double prime alphay - ay y cubed 0 which provides saturation of the dependent variable when y the square root of ab. The significance of this term in various physical problems is discussed. In the mathematical analysis of the equation the parameter ranges for oscillatory and non-oscillatory solutions are discussed and related to the pertinent physical problems. Author
Descriptors:
Subject Categories:
- Numerical Mathematics
- Fluid Mechanics
- Thermodynamics