Approximate Equations of Motion for Gases and Liquids

摘要: Abstract A set of conditions which justify the application Boussinesq approximation to compressible fluids is developed. Two cases are found and compared. In first, in vertical scale motion can be same order magnitude as height medium, perturbation momentum must nondivergent effects perturbations pressure appear several places. other case, where much less than height, velocities non-divergent appears only gradient force. The approximate equations lead linearized controlling stability wave formally equivalent those for problem flow a stratified medium incompressible sense that solenoidal. Thus, variety results about such motions made applicable problems convection gravity atmosphere. ...