The calculation of fluid leaks in the peristaltic hydraulic machine
- Authors: Cherkasskikh S.N.1, Fedenkov V.V.1
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Affiliations:
- National Research University «Moscow Power Engineering Institute»
- Issue: Vol 18, No 4 (2024)
- Pages: 289-298
- Section: Hydraulic and pneumatic systems
- URL: https://journals.eco-vector.com/2074-0530/article/view/643454
- DOI: https://doi.org/10.17816/2074-0530-643454
- ID: 643454
Cite item
Abstract
Background: In the peristaltic pumps, a significant gap can remain in the compressed working body, and therefore, unlike other positive-displacement hydraulic machines, volumetric losses may significantly affect the actual flow rate of the pump. The gap’s shape is determined by approximate dependencies or by numerical methods, but both of these approaches have their own drawbacks.
Objecive: Determination of the parameters of the gap in the compressed pump’s hose and calculation of fluid leaks in the pump using both theoretical dependencies and numerical methods.
Methods: The object of this study is a peristaltic pump that uses a hose compressed by two rollers. The theoretical flow rate was determined according to the existing theory of positive-displacement hydraulic machines, with the rotor velocity and the volume of the working chambers. It was assumed that the hose in the pump body has the shape of a torus, and the SolidWorks Simulation software product was used to determine the shape of the gap in the compression region and the amount by which the volume inside the hose decreases due to compression by the roller. The resulting geometry of the deformed hose was transferred to the STAR-CCM+ computational fluid dynamics software, where the velocity field in the gap and the dependence of the gap resistance coefficient on the Reynolds number were obtained. For the final determination of leaks in the gap, the Weisbach formula for local losses in the gap and the Darcy-Weisbach formula for friction losses along the length of the pump hose were used. The Darcy coefficient was calculated assuming that the flow in the pump hose is laminar.
Results: Comparison of the calculation results with the experimental dependencies showed that the proposed leaks calculation method in the pump can be used at laminar flow and rotation velocities of the pump rotor not less than 100 rpm.
Conclusions: The usage of theoretical dependencies and numerical methods to determine the gap’s parameters and to calculate leaks in the pump has shown its effectiveness, but for more accurate results, it is necessary to take into account additional factors, as the flow in the pump is non-stationary.
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About the authors
Sergey N. Cherkasskikh
National Research University «Moscow Power Engineering Institute»
Author for correspondence.
Email: CherkasskikhSN@mpei.ru
ORCID iD: 0000-0001-6695-0162
SPIN-code: 4395-4959
Cand. Sci. (Engineering), Associate Professor, Associate Professor of the Hydromechanics and Hydraulic Machines Department named after V.S. Kvyatkovsky
Russian Federation, 14 bldg 1 Krasnokazarmennaya st, Moscow, 111250Vladimir V. Fedenkov
National Research University «Moscow Power Engineering Institute»
Email: FedenkovVV@mpei.ru
ORCID iD: 0009-0006-2708-3100
SPIN-code: 4422-7978
Dr. Sci. (Engineering), Associate Professor, Professor of the Hydromechanics and Hydraulic Machines Department named after V.S. Kvyatkovsky
Russian Federation, 14 bldg 1 Krasnokazarmennaya st, Moscow, 111250References
- Takagi D, Balmforth NJ. Peristaltic pumping of viscous fluid in an elastic tube. Journal of Fluid Mechanics. 2011;672:196–218. doi: 10.1017/S0022112010005914
- Forouzandeh F, Arevalo A, Alfadhel A, et al. A review of peristaltic micropumps. Sensors and Actuators A: Physical. 2021;326. doi: 10.1016/j.sna.2021.112602
- Hostettler M, Grüter R, Stingelin S, et al. Modelling of Peristaltic Pumps with Respect to Viscoelastic Tube Material Properties and Fatigue Effects. Fluids. 2023;8,254. doi: 10.3390/fluids8090254
- Grishin AI, Sheypak AA, Chicheryukin VN. Opredelenie koefficienta poleznogo dejstviya peristal’ticheskogo nasosa linejnogo tipa. Izvestiya MGTU «MAMI». 2015;3(25):22–32. (In Russ.)
- Pigache F, Coutant L, Pernod L, Fontaine JM. Peristaltic pumping by huge amplitude piezoelectric traveling wave actuator. 2021 IEEE International Workshop of Electronics, Control, Measurement, Signals and their application to Mechatronics (ECMSM). 2021:1–6. doi: 10.1109/ECMSM51310.2021.9468866
- Petrov VА. Razrabotka metoda proektirovaniya mikronasosov dlya sistem kul’tivirovaniya kletok: dis. ... kand. tekhn. nauk. Moscow. 2017. (In Russ.)
- Kopica RV, Globin AN. Utochnyonnaya metodika rascheta shlangovogo vakuumnogo nasosa i pokazateli ekonomicheskoj effektivnosti ego primeneniya. Vestnik agrarnoj nauki Dona. 2016;4(36):60–68. (In Russ.)
- Kopica RV. Obosnovanie parametrov i rezhimov raboty vakuumnogo nasosa peristal’ticheskogo tipa: dis. ... kand. tekhn. nauk. Zernograd. 2017. (In Russ.)
- Kuskova MA. Gidravlicheskie harakteristiki peristal‘ticheskih nasosov. Neftyanoe hozyajstvo. 2008;1:104–106. (In Russ.)
- Grishin AI. Method for calculating the characteristics of a linear type peristaltic pump with incomplete compression of the working member. Izvestiya MGTU «MAMI». 2018;3:21–31. (In Russ.) doi: 10.17816/2074-0530-66823
- Grishin AI. Influence of the cross-sectional shape and length of the compressible sections on the characteristics of a linear peristaltic pump. Izvestiya MGTU «MAMI». 2021;2(48):9–17. (In Russ.) doi: 10.31992/2074-0530-2021-48-2-9-17
- Ahamed M, Atique S, Munshi M, Koiranen T. The Fluid Structure Interaction of a Peristaltic Pump: Basics and Analysis, American Journal of Engineering Research. 2016; 5, Issue 12:155–166.
- Lepeshkin AV, Mihajlin AA. Gidravlika mashinostroitel’nyh gidrosistem: uchebnik. Moscow: izd. CKT Publ., 2013. (In Russ.)
- Peristaltic dosing pump. Peristaltic PR – 2003. URL: http://www.simas.ru/products/microbiology/speceq/peristalticpump/d/
- Peristaltic pumps ELRO IP100. URL: https://pumpunion.ru/pump/elro-ip100/
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