방해물에 기인한 이층유체의 자유 계면에서의 변화 - Hydraulic Fall

Free surface flow of a Two-Layer fluid over a bump - Hydraulic Fall

  • 최정환 (고려대학교 이과대학 수학과)
  • Choi J. W. (Dept. of Math. Coll. of Science, Korea University)
  • 발행 : 1997.04.01

초록

We consider long nonlinear waves in the two-layer flow of an inviscid and incompressible fluid bounded above by a free surface and below by a rigid boundary. The flow is forced by a bump on the bottom. The derivation of the forced KdV equation fails when the density ratio h and the depth ratio ρ yields a condition 1+hρ=(2-h)((1-h)²+4ρh)/sup 1/2/. To overcome this difficulty we derive a forced modified KdV equation by a refined asymptotic method. Numerical solutions are given and hydraulic fall solution of a two layer fluid is expressed analytically in the case that derivation of the forced KdV(FKdV) equaition fails.

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