Finite amplitude convection in a compressible layer with polytropic structure.
Abstract
Numerical solutions are proposed for the basic equations of finiteamplitude convection in a compressible medium with polytropic structure within the framework of a onemode anelastic approximation. Only the case of nonselfinteracting square or rectangular planforms is considered where the effects of viscous dissipation are disregarded. The numerical solution of these equations illustrates the effects of compressibility and density stratification on the flow pattern and on the thermodynamic variables and their fluctuations.
 Publication:

Australian Journal of Physics
 Pub Date:
 August 1975
 DOI:
 10.1071/PH750437
 Bibcode:
 1975AuJPh..28..437V
 Keywords:

 Anelasticity;
 Boundary Value Problems;
 Compressible Fluids;
 Convective Flow;
 Polytropic Processes;
 Stellar Structure;
 Dimensionless Numbers;
 Energy Dissipation;
 Equations Of State;
 Flow Distribution;
 Flow Equations;
 Linear Equations;
 Mixing Length Flow Theory;
 Nonlinear Equations;
 Temperature Gradients;
 Astrophysics