Abstract
A method for solving the problem of the motion of an incompressible fluid in the impeller of a porous pump is considered. Within the framework of the proposed method, theoretical studies were further developed, aimed at improving the analytical dependencies, which make it possible to evaluate the changes in pressure and kinematic parameters during the laminar motion of fluid in the cavity of a porous body. It is assumed that the porous body has anisotropic properties. The accepted design scheme of fluid movement in the impeller does not take into account the energy loss when the fluid turns from the axial direction to the radial direction, as well as possible losses due to vortex-like phenomena in the inlet section. The system of equations describing the motion of a liquid in a porous wheel is written in a polar coordinate system under the assumption that there is no change in the parameters of the liquid with respect to the angle of rotation. In the laminar mode of motion, the filtration characteristics are expressed as symmetric tensors of the second rank. Equations are obtained for the static pressure of the liquid and the filtration rate in the porous impeller of a centrifugal pump. The results obtained by calculation, as well as previously conducted experimental studies, indicate that they are accurate enough for practice.
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