【摘 要】
：
The generation of unsteady interfacial gravity waves by a singularity immersed in two semi-infinite fluids was analytically investigated in detail by the method
【机 构】
：
The State Key Laboratory of Ocean Engineering,Shanghai Institute of Applied Mathematics and Mechanic
【基金项目】
：
the State Key Laboratory of Ocean Engineering;上海市教委资助项目;the Shanghai Leading Academic Discipline Project
论文部分内容阅读
The generation of unsteady interfacial gravity waves by a singularity immersed in two semi-infinite fluids was analytically investigated in detail by the methods of integral transform and of stationary-phase analysis.The fluids were assumed to be initially stationary, immiscible, inviscid and incompressible.The disturbed flows, generated by an impulsive and oscillatory source/dipole immersed above or beneath the interface, were governed by the Laplace equations.The kinematic and dynamic boundary conditions on the interface were linearized for the small-amplitude waves.By means of the stationary-phase analysis on the exact integral-form solutions, the asymptotic representations for the interfacial waves were derived for large time with a fixed distance-to-time ratio.The relation between a submerged singularity and a surface pressure point was discussed.It is found that the local wavelength and the local wave period of the interfacial waves are elongated in comparison with those of free-surface waves for a single fluid.
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