Математическая модель равновесия столба сжимаемой атмосферы. Часть 2: Стационарные решения для давления и плотности

Abstract

With the one-dimensional aerodynamic model, the problem of equilibrium of a compressible atmosphere column unlimited from above is considered. Numerical and analytical solutions of the model equations are written taking into account two equilibrium conditions: the hydrostatic condition and the equilibrium condition when the density of the column changes with time. The boundary conditions for the solution are the value of pressure or density and the corresponding gradient near the surface. The solution for pressure extends the well-known hydrostatic formula, in addition to which there is a more complex solution. The physical interpretation of the solutions based on the data of experimental measurements in the Earth's atmosphere is discussed. The analytical solution can be used to describe adiabatic atmospheric column, which is important for some applications. The research results improve understanding of processes in atmosphere and can be used for scientific and educational purposes.