Open AccessGENERAL CASE OF LIQUID MOTION IN A POROUS RADIAL CENTRIFUGAL PUMP
Author(s) -
Mikhaylo Oleksandrovich Katrenko,
Arkadiy Andreevich Panchenko,
Vladimir Ivanovich Eliseyev
Publication year - 2021
Publication title -
vìsnik dnìpropetrovsʹkogo unìversitetu. serìâ: raketno-kosmìčna tehnìka
Language(s) - English
Resource type - Journals
ISSN - 2409-4056
DOI - 10.15421/452108
Subject(s) - mechanics , centrifugal force , laminar flow , rotation (mathematics) , classical mechanics , compressibility , added mass , drag , porosity , fluid dynamics , physics , flow (mathematics) , materials science , mathematics , geometry , vibration , composite material , quantum mechanics
Prospects and increasing use of porous structures in the design of fuel supply units for aircraft engines determines the importance, relevance and necessity of theoretical research aimed at creating a mathematical model of the motion of viscous, incompressible fluid in rotating porous bodies. A system of equations of motion describing the movement of a fluid in a porous wheel in a polar coordinate system is considered. Due to the great difficulties of analytical determination of the mass force of resistance in the model, it is assumed that it consists of the force of frictional resistance and the force of pressure resistance. A system of equations describing the motion of a fluid in a porous wheel is written in the polar coordinate system under the assumption that the change in the parameters of the fluid along the angle of rotation does not occur. In the laminar mode of motion, the filtration characteristics are expressed in the form of symmetric tensors of the second rank. The mass force of frictional resistance in the case of a turbulent mode of motion takes into account the accepted law of resistance. The action of the pressure gradient from the centrifugal forces during the motion of the fluid in the rotating porous wheel and the anisotropic properties of the porous element are taken as obtained during the motion of the fluid in a stationary sample. Therefore, from previous experimental studies, only the mass force of frictional resistance is taken into account, and the force of pressure resistance is taken into account in the equations. The equation connecting the static pressure of the fluid with the angular velocity of rotation and the geometrical parameters of the porous impeller and the gap is obtained.