Browsing by Author "Sun, S. M."

Now showing 1 - 4 of 4
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    Capillary-gravity wave drag
    Sun, S. M.; Keller, J. B. (AIP Publishing, 2001-08)
    Drag due to the production of capillary-gravity waves is calculated for an object moving along the surface of a liquid. Both two and three dimensional objects, moving at large Froude and Weber numbers, are treated. (C) 2001 American Institute of Physics.
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    Internal capillary-gravity waves of a two-layer fluid with free surface over an obstruction -- Forced extended KdV equation
    Choi, J. W.; Sun, S. M.; Shen, M. C. (AIP Publishing, 1996-02)
    In this paper we study steady capillary-gravity waves in a two-layer fluid bounded above by a free surface and below by a horizontal rigid boundary with a small obstruction. Two critical speeds for the waves are obtained. Near the smaller critical speed, the derivation of the usual forced KdV equation (FKdV) fails when the coefficient of the nonlinear term in the FKdV vanishes. To overcome this difficulty, a new equation, called a forced extended KdV equation (FEKdV) governing interfacial wave forms, is obtained by a refined asymptotic method. Various solutions and numerical results of this equation are presented. (C) 1996 American Institute of Physics.
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    Long nonlinear waves in an unbounded rotating jet or rotating two-fluid flow
    Sun, S. M. (AIP Publishing, 1994-03)
    The objective of this paper is to study weakly nonlinear waves in an infinitely long rotating jet and a rotating two-fluid flow bounded by an infinitely long rigid cylinder with surface tension at the interface. The critical values for Rossby number, a nondimensional wave speed, are found. When the Rossby number is near one of the critical values, nonlinear theory is developed under long-wave approximation and the well-known Korteweg-de Vries (KdV) equations for the free surface and free interface are obtained. Then the solitary wave solutions are given as the first-order approximations of the solutions of the equations governing the motion of the flows. The analogy between the rotating fluid hows and a two-dimensional flow with density stratification is discussed.
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    Stability of a layer of viscous magnetic fluid flow down an inclined plane
    Renardy, Yuriko Y.; Sun, S. M. (AIP Publishing, 1994-10)
    This paper concerns the linear stability of a layer of viscous magnetic fluid flow down an inclined plane under the influence of gravity and a tangential magnetic field. The stability of a magnetic fluid in a three-dimensional space is first reduced to the stability of the flow in a two-dimensional space by using Squire's transformation. The stability of long waves and short waves is analyzed asymptotically. The stability of waves with intermediate length is obtained numerically. It is found that the magnetic field has a stabilizing effect on both the surface and shear modes and can be used to postpone the instability of such flows.