The Effect of Rotating Speed and Working Pressure on the Hydrodynamic and Hydrostatic Pressure Distribution of the Oil Lubrication Film in the Internal Gear Pump
Main Article Content
Abstract
The effect of rotating speed and working pressure on the hydrodynamic and hydrostatic pressure distribution of the oil lubrication film in the internal gear pump has been analysed in this paper. The hydrodynamic pressure distribution is calculated based on the Reynolds Equation which is solved by the finite difference method (FDM). Meanwhile, the hydrostatic pressure distribution is computed based on the hydraulic resistance network model. The calculation results pointed out that the rotating speed and working pressure have a great effect on the hydrodynamic and hydrostatic pressure distribution. These results are the background for further study to improve the stability, working efficiency, and lifespan of the internal gear pump.
Keywords
Internal gear pump, hydrostatic lubrication, hydrodynamic lubrication, oil lubrication film
Article Details
References
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[2] B. J. Hamrock and S. R. Schmid, Fundamental of Fluid Film Lubrication, Second Edition, 2004.
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[12] M. Gronek, T. Rottenbach, and F. Woritz, A contribution on the investigation of the dynamic behavior of rotating shafts with a Hybrid Magnetic Bearing Concept (HMBC) for blower application, Nuclear Engineering and Design, vol. 240, no. 10, 2010, pp. 2436–2442.
[13] K. D. Vijay, S. Chan, and K. N. Pandey, Effect of number and size of recess on the performance of hybrid (hydrostatic/hydrodynamic) journal bearing, Procedia Engineering, vol. 51, 2013, pp. 810–817.
[14] T. H. Pham, J. Weber, L. Müller, and T. U. Nguyen, Numerical and Experimental Analysis of Hybrid Lubrication Regime for Internal Gear Motor and Pump, Journal of Mechanical Science and Technology, vol. 33, no. 10, 2019.
[15] T. H. Pham, L. Müller, and J. Weber, Dynamically loaded the ring gear in the internal gear motor/pump: Mobility of solution, Journal of Mechanical Science and Technology, vol. 32, no. 7, 2018, pp. 3023–3035.
[16] Trong Hoa Pham, Hybrid method to analysis the dynamic behavior of the ring gear for the internal gear motors and pumps, Journal of Mechanical Science and Technology, vol. 33, no. 2, 2019, pp. 602–612.
[2] B. J. Hamrock and S. R. Schmid, Fundamental of Fluid Film Lubrication, Second Edition, 2004.
[3] W. Brian Rowe DSc, FIMechE, Hydrostatic, Aerostatic, and Hybrid Bearing Design, Elsevier, 2012.
[4] S. Baskar, G. Sriram, and S. Arumugam, Fuzzy logic model to predict oil-film pressure in a hydrodynamic journal bearing lubricated under the influence of nano-based bio-lubricants, Energy Sources, Part A: Recovery, Utilization, and Environmental Effects, vol. 40, no. 13, 2018, pp. 1583–1590.
[5] K. G. Binu, K. Yathish, R. Mallya, B. S. Shenoy, D. S. Rao, and R. Pai, Experimental study of hydrodynamic pressure distribution in oil lubricated two-axial groove journal bearing, Materials Today: Proceedings, vol. 2, no. 4–5, 2015, pp. 3453–3462.
[6] S. Baskar, G. Sriram, S. Arumugam, and J. P. Davim, Modelling and Analysis of the Oil-Film Pressure of a Hydrodynamic Journal Bearing Lubricated by Nano-based Biolubricants Using a D-Optimal Design, Progress in Green Tribology, 2017.
[7] M. A. Ahmad, S. Kasolang, and R. Dwyer-Joyce, Experimental Study of Oil Supply Pressure Effects on Bearing Friction in Hydrodynamic Lubrication, Applied Mechanics and Materials, vol. 315, 2013, pp. 977–981.
[8] A. Walicka and E. Walicki, Pressure distribution in a curvilinear hydrostatic bearing lubricated by a micropolar fluid in the presence of a cross magnetic field, Lubrication Science, vol. 17, no. 1, 2004, pp. 45–52.
[9] M. V. Makarov, Effect of the hydrostatic pressure on the vertical distribution of Laminaria saccharina (L.) Lamouroux in the Barents Sea, Oceanology, vol. 51, no. 3, 2011, pp. 457–464.
[10] H. Aboshighia, A. Bouzidane, M. Thomas, F. Ghezali, A. Nemchi, and A. Abed, Pressure distribution in orifice-compensated turbulent hydrostatic bearing with fluid inertia effects using numerical simulations via Navier–Stokes, Tribology - Materials, Surfaces & Interfaces, vol. 11, no. 1, 2017, pp. 19–29.
[11] N. Umehara, T. Kirtane, R. Gerlick, V. K. Jain, and R. Komanduri, A new apparatus for finishing large size/large batch silicon nitride (Si₃N₄) balls for hybrid bearing applications by magnetic float polishing (MFP), International Journal of Machine Tools and Manufacture, vol. 46, no. 2, 2006, pp. 151–169.
[12] M. Gronek, T. Rottenbach, and F. Woritz, A contribution on the investigation of the dynamic behavior of rotating shafts with a Hybrid Magnetic Bearing Concept (HMBC) for blower application, Nuclear Engineering and Design, vol. 240, no. 10, 2010, pp. 2436–2442.
[13] K. D. Vijay, S. Chan, and K. N. Pandey, Effect of number and size of recess on the performance of hybrid (hydrostatic/hydrodynamic) journal bearing, Procedia Engineering, vol. 51, 2013, pp. 810–817.
[14] T. H. Pham, J. Weber, L. Müller, and T. U. Nguyen, Numerical and Experimental Analysis of Hybrid Lubrication Regime for Internal Gear Motor and Pump, Journal of Mechanical Science and Technology, vol. 33, no. 10, 2019.
[15] T. H. Pham, L. Müller, and J. Weber, Dynamically loaded the ring gear in the internal gear motor/pump: Mobility of solution, Journal of Mechanical Science and Technology, vol. 32, no. 7, 2018, pp. 3023–3035.
[16] Trong Hoa Pham, Hybrid method to analysis the dynamic behavior of the ring gear for the internal gear motors and pumps, Journal of Mechanical Science and Technology, vol. 33, no. 2, 2019, pp. 602–612.