任意形状を有する斜面上における水路形成の線形安定論:侵食が卓越する場合 Linear stability analysis of channel inception on slopes with arbitrary shapes:purely erosional case

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Abstract

The existing linear stability analysis of incipient channelization was limited to the case of self-preserving slope profiles. In this study, the theory is extended to include the channelization on slopes with arbitrary shapes under the assumption that the growth of perturbation is sufficiently faster than the evolution of base state slope profiles; thus, a time derivative term in base state equations is neglected in the linear level (frozen time approach). As the result of a momentary stability analysis, the dominant wavelength is found to decrease with increasing curvature of slopes. In addition, the analysis shows the possibility of channelization even in the case of arbitrary slope profiles.

Journal

  • Journal of applied mechanics

    Journal of applied mechanics 7, 997-1004, 2004

    Japan Society of Civil Engineers

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