A.G.Bagdoev, S.G.Sahakyan Pressure penetration in compressible inhomogeneous fluid |
Acoustic bulletin, Vol. 4 ¹ 3, (2001) |
| A method of successive approximations for the solution of mixed boundary problems, arising at modeling of the disturbances propagation process in ideal non-uniform liquid, is developed. The two-dimensional problems are considered with changing in time boundary part, where the external forces are applied. The numerical examples are derived for case of liquid that is non-uniform on depth with exponential change of density. The solution in two approximations with respect to a small parameter related with the non-homogeneity parameter are developed. The solutions are given in form of integrals. Asymptotic analysis of the solutions is carried out to study specific features of the pressure and liquid particle velocity distribution near edges of a loaded area. The influence of a non-homogeneity on specified physical characteristics of the wave process is shown. |
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KEY WORDS: ideal compressible fluid, exponential heterogeneity, pressure penetration |
| TEXT LANGUAGE: Russian |