DID YOU KNOW? DTIC has over 3.5 million final reports on DoD funded research, development, test, and evaluation activities available to our registered users. Click HERE
to register or log in.
On an Equation Related to Nonlinear Saturation of Convection Phenomena.
MARYLAND UNIV COLLEGE PARK INST FOR FLUID DYNAMICS AND APPLIED MATHEMATICS
Pagination or Media Count:
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
APPROVED FOR PUBLIC RELEASE