Accession Number : AD0776044

Title :   A Note on the Multi - alpha Solutions of the Upper Bounding Problem for Thermal Convection.

Descriptive Note : Rept. for Jun-Sep 73.

Corporate Author : AEROSPACE CORP EL SEGUNDO CALIF LAB OPERATIONS

Report Date : 25 FEB 1974

Pagination or Media Count : 19

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)

Descriptors :   *Convection, *Heat transfer, *Flow fields, Two dimensional flow, Three dimensional flow, Perturbations, Boundary value problems

Subject Categories : Fluid Mechanics
      Thermodynamics

Distribution Statement : APPROVED FOR PUBLIC RELEASE