Abstract
The problems of superfluid liquid hydrodynamics are quite relevant today. Previously uninvestigated problem of multiphase flow of superfluid liquid is considered in the paper. The tasks of streamline of groups of objects of different shapes by a flat stationary flow of superfluid liquid is formulated in terms of velocity potential in the form of differential equations in specific derived and boundary integral equations of potential theory. It was shown that for such a flow, the main force, affecting objects, is the strength of hydrodynamic interaction. Calculations were made using a standard algorithm for the boundary element method. The dependences of hydrodynamic interaction forces on the distance between the streamlined objects were obtained for circular and elliptical shaped objects. The cases of a large number of regularly situated circular objects were considered. It was shown that such a system is stable relating to perturbations along the flow velocity vector, and is unstable with respect to perturbations perpendicular to the vector. The considered problems illustrate the features of multiphase flow of superfluid liquid and can serve as model problems for studying such flows.
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