The paper deals with analysis of mathematical model of incompressible viscous nonstationary flow through a plane cascade of profiles. We formulate the nonstationary problem and construct a solution by means of semidiscretization in time (Rothe's method).
We deal with the steady Stokes problem, associated with a flow of a viscous incompressible fluid through a spatially periodic profile cascade. Using the reduction to domain , which represents one spatial period, the problem is formulated by means of boundary conditions of three types: the conditions of periodicity on curves and (lower and upper parts of ), the Dirichlet boundary conditions on (the inflow) and (boundary of the profile) and an artificial “do nothing”-type boundary condition...
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