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A mathematical model was developed for viscous incompressible medium; this model comprises a small parameter for regularization of ill-posed problem. Starting from the analogy with strain problems of axisymmetric laminar structures which include the elastic orthotropic and elastic volume-incompressible layers with a connection to viscous laminar fluid flow, we have developed a method providing a single algorithm for computation of velocity field, stresses, and other parameters of laminar composite material. The example of calculation for the binding agent flow during pultrusion formation is presented. [ABSTRACT FROM AUTHOR]

The influence of mechanical properties of a large-sized shell on its forced oscillations in a flow of a viscous fluid is considered. As is known [1], the flow past a shell can be controlled by generating a wave that runs over the shell surface. Hydrodynamic calculations performed for only transverse running waves [2–6] show the potential possibility of significantly decreasing the drag, but conditions under which these running waves can be maintained in a shell of finite length had not been studied until now. The present paper considers the laws that govern a running wave generated in the front part of a shell of revolution occurring in a flow of a viscous fluid. [ABSTRACT FROM AUTHOR]

The problem of determining the shape and parameters of a running wave on the surface of a body of revolution so as to minimize its drag in the streamlining flow of a viscous fluid is considered. The physical effects involved in this method of flow control are analyzed. The possibility of a numerical experiment on the streamlining of a shell of revolution within the framework of a complete set of hydroelasticity equations, including the Navier-Stokes equation and the equations of motion of a linearly elastic shell, is discussed. [ABSTRACT FROM AUTHOR]