Flat Solitary Waves due to a Submerged Body Moving in a Stratified Fluid |
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Authors: | WEI Gang SU Xiao-Bing LU Dong-Qiang YOU Yun-Xiang DAI Shi-Qiang |
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Affiliation: | Faculty of Science, PLA University of Science and Engineering, Nanjing 211101Shanghai Institute of Applied Mathematics and Mechanics, ShanghaiUniversity Shanghai 200072School of Naval Architecture, Ocean and Civil Engineering, Shanghai Jiao Tong University, Shanghai 200030 |
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Abstract: | A theoretical model for interaction of a submerged moving body with theconjugate flow in a three-layer fluid is proposed to depict the internalflat 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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