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  • Open Access


    Oscillations of an Inviscid Encapsulated Drop

    Aleksandr Shiryaev*

    FDMP-Fluid Dynamics & Materials Processing, Vol.16, No.4, pp. 761-771, 2020, DOI:10.32604/fdmp.2020.09010

    Abstract The problem relating to the small-amplitude free capillary oscillations of an encapsulated spherical drop is solved theoretically in the framework of asymptotic methods. Liquids are supposed to be inviscid and immiscible. The formulas derived are presented for different parameters of the inner and outer liquids, including densities, thickness of the outer liquid layer, and the surface and interfacial tension coefficients. The frequencies of oscillation of the encapsulated drop are studied in relation to several “modes” which can effectively be determined in experiments by photo and video analysis. The results are presented in terms of oscillation frequencies reported as a function… More >

  • Open Access


    Application of the Method of Fundamental Solutions and the Generalized Lagally Theorem to the Interaction of Solid Body and External Singularities in An Inviscid Fluid

    C. T. Wu1, F.-L. Yang2, D. L. Young3

    CMC-Computers, Materials & Continua, Vol.23, No.2, pp. 135-154, 2011, DOI:10.3970/cmc.2011.023.135

    Abstract This paper proposes a method that can calculate the hydrodynamic force of a non-circular object in an inviscid, irrotational, and incompressible flow with the presence of external flow singularities. In order to handle irregular object, the method of fundamental solutions (MFS) is employed to numerically construct the singularity system that describes the body and the flow motion and meets the boundary condition. The obtained singularity system is then integrated into the generalized Lagally theorem to compute the instantaneous hydrodynamic force via algebraic calculations and to describe the unsteady interaction of the object and its ambient flow. The proposed method is… More >

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