A Note on the Multi - alpha Solutions of the Upper Bounding Problem for Thermal Convection.
Abstract
The transition to 'multi-alpha' solutions of the upper bounding problem for thermal convection is discussed. For convection in a fluid contained between parallel stress-free perfectly conducting boundaries, the 'single-alpha' solutions of Straus (1973) are used to determine the Rayleigh number at which the first transition occurs. Two upper bounding problems are treated: one valid for all values of the Prandtl number and one valid only for large Prandtl numbers. A significant difference between the two problems is noted, the latter allowing no transition to multi-alpha solutions, while the former has a transition at R approximatey = 28200. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- Feb 25, 1974
- Accession Number
- AD0776044
Entities
Organizations
- The Aerospace Corporation