Abstract
The isothermal creeping flow of a Newtonian fluid through a draught tube with the rotating helical screw agitator in a mixing equipment is modelled by means of a two-dimensional flow through a helical rectangular duct. In order to incorporate the geometrical arrangement of the flow system as well as the kinematical boundary conditions at the solid walls into the mathematical formulation of the problem most easily, the equations of continuity and motion are expressed in a system of non-orthogonal helical coordinates. Introducing the stream function and component of the vorticity vector the transport equations are further simplified. The finite-difference method is proposed for the solution of the resulting system of equations.
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