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Numerical and experimental analysis of hybrid lubrication regime for internal gear motor and pump

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Abstract

This paper addresses the simultaneously existence problem of both hydrodynamic and hydrostatic pressure components in the oil lubrication film in case of internal gear motor and pump. Reynolds equation with concerning hybrid parameter is developed to calculate the hybrid pressure profile. Finite difference method with appropriate boundary condition is then used to solve the Reynolds equation to obtain 2D hybrid pressure distribution. The percentage of hydrodynamic and hydrostatic components corresponding to the change of the working pressure and rotating speed are analyzed. Experimental setup is then designed and built to verify the individual effect of hydrodynamic and hydrostatic action on the performance of the internal gear motor and pump under different working conditions. The numerical and experimental results pointed out that the eccentricity ratio optimal for good hybrid force is from 0.46 to 0.75. The hydrodynamic action increases with the increase of the rotating speed whilst the hydrostatic action increases with the increase of operating pressure. As the rotating speed at maximum value and working pressure at minimum value, the proportion percentage of hydrodynamic component gets the largest value. Whilst the hydrostatic component has the largest proportion percentage at minimum rotating speed and maximum working pressure.

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Abbreviations

D, r:

Diameter and radius of the ring gear (m)

rh :

Radius of the inner housing (m)

L:

The ring gear length (m)

e:

Eccentricity of the ring gear center (µm)

c:

Radial clearance (µm)

ε(e/c):

Relative eccentricity

\(\dot{\mathrm{\varepsilon}}\) :

Relative eccentricity variation

εx,εy :

Relative eccentricity in x and y axis

εx,εy :

Eccentricity in axis x, y

h:

Oil film thickness (µm)

Hp :

Hybrid parameter

θ:

Circumferential angle from the maximum-minimum film thickness line (°)

θ0 :

Circumferential angle from axis OY (°)

F:

Load applied on the gear ring (N)

pHP :

Working pressure (high pressure) (Pa)

pLP :

Outlet pressure (low pressure) (Pa)

Δp:

Different pressure (Pa)

p:

Hydrodynamic film pressure (Pa)

n:

Speed of motor (rpm)

ω:

Angular velocity (rad/s)

φ:

Attitude angle (°)

μ:

Dynamic viscosity of fluid (Pa.s)

HP:

High pressure port

LP:

Low pressure port

S1 …S5 :

Micro displacement sensor

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Acknowledgements

This research is funded by Vietnam National Foundation for Science and Technology Development (NAFOSTED) under grant number 107.03-2019.17.

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Authors and Affiliations

  1. University of Transport and Communications (UTC), No.3 Cau Giay, Dong Da, Ha Noi, Vietnam

    Trong Hoa Pham & Dinh Tu Nguyen

  2. Institute of Fluid Power, Technical University of Dresden (TUD), Helmzholtstraß 7a, D-01069, Dresden, Germany

    Jürgen Weber & Lutz Müller

Authors
  1. Trong Hoa Pham
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  2. Jürgen Weber
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  3. Lutz Müller
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  4. Dinh Tu Nguyen
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Corresponding author

Correspondence to Trong Hoa Pham.

Additional information

Recommended by Associate Editor Sungsoo Na

Trong Hoa Pham was born in 1982, currently the Lecturer at University of Transport and Communication (UTC). He received the B.Sc. and M.Sc. degrees in mechanical engineering from UTC, Hanoi, Vietnam in 2005 and 2010, respectively, and his Dr.-Ing. at Technische Universität Dresden, Germany in 2018. His research interests are fluid power systems, components, and hydrodynamic bearing.

Jürgen Weber was born in 1958. He is currently a Professor at Technische Universität Dresden. He received his Dipl.-Ing. and Ph.D. degrees at Technische Universität Dresden, Germany in 1986 and 1991, respectively. His research interests are fluid-mechatronic systems with individualized architectures.

Lutz Müller was born in 1976. He is currently a post-doctoral at Technische Universität Dresden where he received his Dipl.-Ing. in Aeronautical Engineering and his Dr.-Ing. in Compressor-aerodynamics in 2002 and 2013, respectively. His research interests are fluid power components in all aspects with special emphasis on cavitation, fluid characterization and hydrodynamic bearings.

Dinh Tu Nguyen was born in 1975, currently the Lecturer at University of Transport and Communication (UTC). He received his Ph.D. degree at Russia University of Transport, Russia in 2010. His research interests are fluid power components in all aspects, fluid characterization and construction machines.

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Pham, T.H., Weber, J., Müller, L. et al. Numerical and experimental analysis of hybrid lubrication regime for internal gear motor and pump. J Mech Sci Technol 33, 4689–4699 (2019). https://doi.org/10.1007/s12206-019-0912-y

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  • DOI: https://doi.org/10.1007/s12206-019-0912-y

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