Wave Motions in Stratified Fluids by a Translating Plate

  • Joo Sang-Woo (School of Mechanical Engineering, Yeungnam University) ;
  • Park Min-Soo (School of Mechanical Engineering, Yeungnam University)
  • Published : 2006.06.01

Abstract

Surface and interfacial waves in two superposed horizontal inviscid fluids of finite depths are studied. The flow is induced by translating a vertical rigid plate with a prescribed velocity. Analytical solutions that accurately predict the motion of the free surface and the interface are obtained by using a small-Froude-number approximation. Three different velocities of the plate are considered, while flows induced by any arbitrary motion of the plate can be easily analyzed by a linear superposition of the solutions obtained. It is shown that pinching of the upper layer can occur for a sufficiently thin upper layer, which leads to its rupture into small segments. Other interesting phenomena, such as primary and secondary wiggles generated on the interface near the wavemaker, are discussed.

Keywords

References

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