Evaluation of the influence of non-stationarity of liquid flow in the distribution units of a spur rotary pump on its operating efficiency

A mathematical model of fluid flow in the dynamic component of a spur rotary pump distributor was developed. A diaphragm hydrodiode and a section of straight pipe were considered as the dynamic component of the distributor. A numerical experiment revealed that the diaphragm hydrodiode occupies an intermediate position in efficiency between a section of straight pipe and an ideal check valve. The numerical experiment revealed that efficiency increases with increasing shaft rotational velocity and with increasing dynamic distributor length, while it decreases with increasing pressure drop. For certain ratios of angular velocity, shaft rotation angle between the discharge and suction ports, distributor length, and pressure drop between the discharge and suction lines, backflow of fluid through the dynamic distributor may be absent. Consequently, the dynamic distributor can operate as an ideal distributor, eliminating backflow of fluid.
EDN: MJDCHG, https://elibrary/mjdchg

References

[1] Plastinin P.I. Porshnevye kompressory. T. 1. Teoriya i raschet [Piston compressors. Vol. 1. Theory and calculations]. Moscow, Kolos, 2006. 398 p. (In Russ.).

[2] Fotin B.S., ed. Porshnevye kompressory [Piston compressors]. Leningrad, Mashinostroenie Publ., 1987. 372 p. (In Russ.).

[3] Kaigorodov S.Yu. Influence of the design parameters of a hydraulic diode on its performance. Russ. Engin. Res., 2019, vol. 39, no. 3, pp. 220–221, doi: https://doi.org/10.3103/S1068798X19030122

[4] Sasaki T., Furuta K., Ishida N. et al. Topology optimization for 3D fluid diode design considering wall-connected structures. Struct. Multidisc. Optim., 2024, vol. 67, no. 12, art. 209, doi: https://doi.org/10.1007/s00158-024-03920-w

[5] Bavkar A., Paniagua G., Salek P. et al. Multi-objective optimization and validation of a diodic profile. AIAA SCITECH Forum, 2024, paper AIAA 2024-1036, doi: https://doi.org/10.2514/6.2024-1036

[6] Shcherba V.E., Kaigorodov S.Y., Dorofeev E.A. et al. Development and research of diaphragm hydrolic diode for positive displacement pumps. Mech. Based Des. Struct. Mach., 2025, vol. 53, no. 1, pp. 702–721, doi: https://doi.org/10.1080/15397734.2024.2374452

[7] Menter F.R. Review of the shear-stress transport turbulence model experience from an industrial perspective. Int. J. Comput. Fluid Dyn., 2009, vol. 23, no. 4, pp. 305–316m doi: https://doi.org/10.1080/10618560902773387

[8] Ferrari S., Rossi R., Di Bernardino A. A review of laboratory and numerical techniques to simulate turbulent flows. Energies, 2022, vol. 15, no. 20, 7580, doi: https://doi.org/10.3390/en15207580

[9] Tadyszak K., Jäger A., Pánek J. et al. Design and optimization of microfluidic vortex diode. Math. Comput. Appl., 2024, vol. 29, no. 6, art. 97, doi: https://doi.org/10.3390/mca29060097

[10] Qian W., Zhou Z., Wang Q. et al. The performance and fabrication of 3D variable cross-section channel for passive microfluidic control. Micromachines, 2024, vol. 15, no. 8, art. 1038, doi: https://doi.org/10.3390/mi15081038

[11] Kaygorodov S.Yu. Razrabotka konstruktsii i issledovanie rabochikh protsessov diafragmennogo gidrodioda, prednaznachennogo dlya raboty v pryamozubom rotornom nasose. Avtoref. diss. kand. tekh. nauk [Development of the design and study of the operating processes of a diaphragm hydrodiode intended for operation in a spur rotary pump. Abs. kand. tech. sci. diss.]. Omsk, OmGTU, 2022. 24 p. (In Russ.).

[12] O’Connor J., Laizet S., Wynn A. et al. Quantifying uncertainties in direct numerical simulations of a turbulent channel flow. Comput. Fluids, 2024, vol. 268, art. 106108, doi: https://doi.org/10.1016/j.compfluid.2023.106108

[13] Lim D.K., Song M.S., Chae H. et al. Topology optimization on vortex-type passive fluidic diode for advanced nuclear reactors. Nucl. Eng. Technol., 2019, vol. 51, no. 5, pp. 1279–1288, doi: https://doi.org/10.1016/j.net.2019.03.018

[14] Jubaer H., Thomas M., Farkas D. et al. Development of an effective two-equation turbulence modeling approach for simulating aerosol deposition across a range of turbulence levels. J. Aerosol Sci., 2024, vol. 175, art. 106262, doi: https://doi.org/10.1016/j.jaerosci.2023.106262