土木学会論文集B1(水工学)
Online ISSN : 2185-467X
ISSN-L : 2185-467X
水工学論文集第58巻
大気中の境界面における流速分布及び密度分布が与える擾乱への影響の考察
北野 慈和山田 朋人泉 典洋
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2014 年 70 巻 4 号 p. I_871-I_876

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Schmid & Henningson discussed the point disturbance in the homogeneous medium of piecewise linear boundary layer using the method of stationary phase. In addition to this study, we include the density profile to consider the inhomogeneous boundary layer like atmospheric boundary layer. We assume first that the fluid is inviscid and incompressible, density being convected but not diffused. Then the fundamental equations are the Navier-Stokes equations, continuity equation and incompressibility equation and we derive the 3-dimentional Taylor-Goldstein equation. Under the Boussinesq approximation, we obtain the exact solution about the point disturbance propagation on the arbitrary horizontal plane. Using internal Froude number, we explain the characteristics of the solutions.
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