CONVECTION IN A BOX: LINEAR THEORY,
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, 1/4 = or < h/d = or < 6, where d is the depth. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- Jun 01, 1967
- Accession Number
- AD0653924
Entities
People
- Stephen H. Davis
Organizations
- RAND Corporation