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Flat Solitary Waves due to a Submerged Body Moving in a Stratified Fluid |
| WEI Gang1,2, SU Xiao-Bing1;LU Dong-Qiang2;YOU Yun-Xiang3;DAI Shi-Qiang2 |
| 1Faculty of Science, PLA University of Science and Engineering, Nanjing 2111012Shanghai Institute of Applied Mathematics and Mechanics, ShanghaiUniversity, Shanghai 2000723School of Naval Architecture, Ocean and Civil Engineering, Shanghai Jiao Tong University, Shanghai 200030 |
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WEI Gang, SU Xiao-Bing, LU Dong-Qiang et al 2008 Chin. Phys. Lett. 25 2128-2131 |
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Abstract A theoretical model for interaction of a submerged moving body with the
conjugate flow in a three-layer fluid is proposed to depict the internal
flat solitary wave, which is observed in experiments conducted by the present authors. A set of coupled nonlinear algebraic equations is derived for the interfacial displacements. The numerical results indicate that (a) the conjugate flow due to a two-dimensional body moving at the bottom possesses an apparent behaviour with two convex interfaces; (b) the solution satisfying the existence criterion is always unique near the relatively stable state of system. Theoretical analysis is qualitatively consistent with the experimental results obtained.
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| Keywords:
47.55.Hd
47.35.Fg
47.35.Lf
94.05.Rx
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Received: 30 January 2008
Published: 31 May 2008
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