Accession Number:

AD0653924

Title:

CONVECTION IN A BOX: LINEAR THEORY,

Descriptive Note:

Corporate Author:

RAND CORP SANTA MONICA CALIF

Personal Author(s):

• Davis,Stephen H.

Report Date:

1967-06-01

Pagination or Media Count:

45.0

Abstract:

The linear stability of a quiescent, three-dimensional rectangular box of fluid heated from below is considered. It is found that finite rolls cells with two nonzero velocity components dependent on all three spatial variables with axes parallel to the shorter side are predicted. When the depth is the shortest dimension, the cross-sections of these finite rolls are near-square, but otherwise in wafer-shaped boxes narrower cells appear. The value of the critical Rayleigh number and preferred wave number number of finite rolls for a given size box is determined for boxes with horizontal dimensions h, 14 or hd or 6, where d is the depth. Author

Descriptors:

• *FLUID MECHANICS
• *CONVECTION(HEAT TRANSFER)
• MATHEMATICAL MODELS
• MATHEMATICAL ANALYSIS
• NUMERICAL ANALYSIS
• FLUID DYNAMICS
• CONVECTION(ATMOSPHERIC)

Subject Categories:

• Atmospheric Physics
• Fluid Mechanics
• Thermodynamics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE