Stability analysis of two-dimensional models of three-dimensional convection

Technical Report · Sat Dec 01 00:00:00 EST 1984

DOI:https://doi.org/10.2172/5984806· OSTI ID:5984806

Greenside, H S; Cross, M C

Analytical and numerical methods are used to study the linear stability of spatially periodic solutions for various two-dimensional equations which model thermal convection in fluids. This analysis suggests new model equations that will be useful for investigating questions such as wave number selection, pattern formation, and the onset of turbulence in large aspect ratio Rayleigh-Benard systems. In particular, we construct a nonrelaxational model that has stability boundaries similar to those calculated for intermediate Prandtl number fluids.

• Research Organization: Princeton Plasma Physics Lab. (PPPL), Princeton, NJ (United States)
• DOE Contract Number: AC02-76CH03073
• OSTI ID: 5984806
• Report Number(s): PPPL-2176; ON: DE85005338
• Resource Relation: Other Information: Portions are illegible in microfiche products. Original copy available until stock is exhausted
• Country of Publication: United States
• Language: English

Related Subjects

70 PLASMA PHYSICS AND FUSION TECHNOLOGY
FLUIDS
TWO-DIMENSIONAL CALCULATIONS
ANALYTICAL SOLUTION
CONVECTION
NUMERICAL SOLUTION
STABILITY
THERMAL CONDUCTIVITY
TIME DEPENDENCE
ENERGY TRANSFER
HEAT TRANSFER
MASS TRANSFER
PHYSICAL PROPERTIES
THERMODYNAMIC PROPERTIES
700105* - Fusion Energy- Plasma Research- Plasma Kinetics-Theoretical- (-1987)