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A Study on Theoretical Flowrate of Gerotor Pump Using Chamber Areas

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Abstract

Gerotor oil pump supplies rotating elements with lubricating oil to prevent wear and to reduce frictional heat. Theoretical flowrate is needed to calculate volume efficiency of gerotor pump and irregularity, which mainly influences on pump noise. Therefore, accurate calculation of theoretical flowrate is crucial to predict performance of the gerotor pump. In this study, a new approach was proposed to calculate theoretical flowrate of the gerotor pump using chamber areas surrounded by coordinates of inner and outer rotors between contact points. Also, an automatic program applying the new methood was developed, based on numerical analysis program, Matlab, and theoretical flowrates of the gerotors with the various lobe shapes (circle, ellipse1-involute-ellipse2, 3-ellipse and 2- ellipse) for the six-speed auto transmission were calculated. To verify accuracy of the new method, theoretical flowrates calculated by chamber areas were compared to those obtained both from the vane length method and from the performance experiment.

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References

  1. Jung, S.-Y., Bae, J.-H., Kim, M.-S., and Kim, C., “Development of a New Gerotor for Oil Pumps with Multiple Profiles,” International Journal of Precision Engineering and Manufacturing, Vol. 12, No. (5), pp. 835–841, 2011.

    Article  Google Scholar 

  2. Bae, J.-H. and Kim, C., “Design of Rotor Profile of Internal Gear Pump for Improving Fuel Efficiency,” International Journal of Precision Engineering and Manufacturing, Vol. 16, No. (1), pp. 113–120, 2015.

    Article  Google Scholar 

  3. Hsieh, C.-F., “Flow Characteristics of Gerotor Pumps with Novel Variable Clearance Designs,” Journal of Fluids Engineering, Vol. 137, No. 4, Paper No. 041107, 2015.

    Article  Google Scholar 

  4. Sung, H.-J., Min, H.-K., Nam, Y.-J., and Park, M.-K., “Design and Experimental Verification of a Port Plate in a Gerotor Pump to Reduce Pressure Pulsation,” Journal of Mechanical Science and Technology, Vol. 32, No. (2), pp. 671–678, 2018.

    Article  Google Scholar 

  5. Colbourne, J., “Gear Shape and Theoretical Flow Rate in Internal Gear Pumps,” Transactions of the Canadian Society for Mechanical Engineering, Vol. 3, No. (4), pp. 215–223, 1975.

    Article  Google Scholar 

  6. Inaguma, Y., “Calculation of Theoretical Torque and Displacement in an Internal Gear Pump,” Koyo Engineering Journal, Vol. 1001E, pp. 70–76, 2006.

    Google Scholar 

  7. Lee, S.-C., “Profile Design of the Inner Rotor of a Gerotor by the Composite Curve of Circular Arcs,” Journal of the Korean Society of Tribologists and Lubrication Engineers, Vol. 22, No. (2), pp. 79–86, 2006.

    Google Scholar 

  8. Kim, S. D., Kim, D. M., and Ham, Y. B., “An Analysis on Volumetric Displacement of Hydraulic Gerotor Pump/Motor Using Energy and Torque Equilibrium–First Report: Case of Rotation of Inner and Outer Rotors,” Journal of Drive and Control, Vol. 10, No. (2), pp. 13–22, 2013.

    Article  Google Scholar 

  9. Kim, S. D., Kim, D. M., and Ham, Y. B., “An Analysis on Volumetric Displacement of Gerotor Hydraulic Motor Using Energy Conservation and Torque Equilibrium–Second Report: the Case of a Revolving and Rotating Inner Rotor,” Journal of Drive and Control, Vol. 11, No. (4), pp. 15–24, 2014.

    Article  Google Scholar 

  10. Bae, J. H., Kwak, H. S., San, S., and Kim, C., “Design and CFD Analysis of Gerotor with Multiple Profiles (Ellipse–Involute–Ellipse Type and 3–Ellipses Type) Using Rotation and Translation Algorithm,” Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science, Vol. 230, No. (5), pp. 804–823, 2016.

    Google Scholar 

  11. Kwak, H.-S., Li, S.-H., and Kim, C., “Performance Improvement of an Oil Pump: Design of Port Assembled with Gerotor (2–Ellipses–Combined Lobe),” International Journal of Precision Engineering and Manufacturing, Vol. 17, No. (8), pp. 1017–1024, 2016.

    Article  Google Scholar 

  12. Manring, N. D. and Kasaragadda, S. B., “The Theoretical Flow Ripple of an External Gear Pump,” Journal of Dynamic Systems, Measurement, and Control, Vol. 125, No. (3), pp. 396–404, 2003.

    Article  Google Scholar 

  13. Gamez–Montero, P., Castilla, R., Khamashta, M., and Codina, E., “Contact Problems of a Trochoidal–Gear Pump,” International Journal of Mechanical Sciences, Vol. 48, No. (12), pp. 1471–1480, 2006.

    Article  MATH  Google Scholar 

  14. Huang, K. J. and Lian, W. C., “Kinematic Flowrate Characteristics of External Spur Gear Pumps Using an Exact Closed Solution,” Mechanism and Machine Theory, Vol. 44, No. (6), pp. 1121–1131, 2009.

    Article  MATH  Google Scholar 

  15. Yang, D. C., Yan, J., and Tong, S.-H., “Flowrate Formulation of Deviation Function Based Gerotor Pumps,” Journal of Mechanical Design, Vol. 132, No. 6, Paper No. 064503, 2010.

    Article  Google Scholar 

  16. Tong, S.-H. and Yang, D. C., “On the Generation of New Lobe Pumps for Higher Pumping Flowrate,” Mechanism and Machine Theory, Vol. 35, No. (7), pp. 997–1012, 2000.

    Article  MATH  Google Scholar 

  17. Truong, D. Q., Truong, B. N. M., Ahn, K. K., and Lee, J. S., “Development of an Electronically Controlled Variable Displacement Vane Pump for Engine Lubrication,” International Journal of Precision Engineering and Manufacturing, Vol. 16, No. (9), pp. 1925–1934, 2015.

    Article  Google Scholar 

  18. Moon, J.-H., Lee, H.-D., and Kim, S.-I., “Lubrication Characteristics Analysis of an Air–Oil Lubrication System Using an Experimental Design Method,” International Journal of Precision Engineering and Manufacturing, Vol. 14, No. (2), pp. 289–297, 2013.

    Article  Google Scholar 

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Authors and Affiliations

  1. Department of Mechanical Convergence Technology, Pusan National University, 2, Busandaehak-ro 63beon-gil, Geumjeong-gu, Busan, 46241, Republic of Korea

    Min-Cheol Lee & Han-saem Seong

  2. Research Institute of Mechanical Technology, Pusan National University, 2, Busandaehak-ro 63beon-gil, Geumjeong-gu, Busan, 46241, Republic of Korea

    Hyo-Seo Kwak

  3. School of Mechanical Engineering, Pusan National University, 2, Busandaehak-ro 63beon-gil, Geumjeong-gu, Busan, 46241, Republic of Korea

    Chul Kim

Authors
  1. Min-Cheol Lee
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  2. Hyo-Seo Kwak
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  3. Han-saem Seong
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  4. Chul Kim
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Correspondence to Chul Kim.

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Lee, MC., Kwak, HS., Seong, Hs. et al. A Study on Theoretical Flowrate of Gerotor Pump Using Chamber Areas. Int. J. Precis. Eng. Manuf. 19, 1385–1392 (2018). https://doi.org/10.1007/s12541-018-0163-3

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  • DOI: https://doi.org/10.1007/s12541-018-0163-3

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