a Theoretical Investigation of Moist Atmospheric Convective Modes as a Function of Rayleigh Number, Prandtl Number and Eddy Anisotropy.
A mathematical model consisting of a complete set of the linearized Boussinesq equations governing Rayleigh convection in a moist atmosphere was solved. The significant features of the model include: (1) anisotropic eddy heat and and momentum diffusion coefficients with the eddy viscosity for momentum varying with height through the convecting layer; (2) convection cells of general horizontal geometry as determined by parameter values appearing in a modified form of the generalized Christopherson shape function; (3) a non-zero complex stability factor allowing for steady and time-dependent convective modes; (4) a diabatic heating term in the conservation of energy equation allowing for the development of a moist atmospheric Rayleigh number (Ra); and (5) an atmospheric Prandtl number (Pr) where molecular viscosity and conductivity have been replaced by their eddy counterparts.
- Pub Date:
- Physics: Atmospheric Science;
- Atmospheric Diffusion;
- Linear Systems;
- Prandtl Number;
- Rayleigh Number;