Katan V. The impact interaction of the body and the fluid with a free surface

Object - the hydrodynamic problem of shock interaction of the body, which initially floats on the free boundary and as a result of exposure to pulsed external forces and moments to move and receive instant angular velocity of liquid and calculating on the basis of this interchange distributed and total hydrodynamic characteristics of the body. The goal - to develop research methods and mathematical modeling of shock interaction of solids and liquids with a free surface; obtaining the basic laws that describe processes of shock interaction of bodies and fluid with free surface and the formation of separated zones; analysis of the effect of nonlinearity on the dynamic characteristics of bodies, positions and sizes of separated zones. Research methods - mathematical modeling of shock interaction of bodies and liquid with a free surface in a separation.Until now time to determine a numerical parameter q, which characterizes the length of the separation zone along the surface of the body, mainly used condition or Sedov on continuity of the normal component of the velocity at the point of separation from the unseparated flow and from the separation zone, or the so-called variational principle Ogazo. In the thesis the principle Ogazo successfully extended to such cases when the solution of problem in closed form can not be submitted, but this solution can always be obtained in the form of quadrature. In such cases, the principle Ogazo to locate the separation zone according to the kinematic parameters reduces to a transcendental equation, which contains the singular integrals in the sense of Hadamard finite part. Thus, in detail, a new approach to determining the location of separation zones of the body fluid from the surface (one or more) based on the use of transcendental equations in terms of singular integrals end portion on the Hadamard principle Ogazo obtained. The results of the calculation of distributed and total hydrodynamic characteristics of the most characteristic of the body - plate - located at an arbitrary angle to the free boundary. Scope - modeling of hydro-steering gear units.