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The hydrostatic/hydrodynamic behaviour of an axial piston pump slipper with multiple lands

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Abstract

This study considers an analytical approach towards the understanding of the hydrostatic leakage and lift characteristic of a flat slipper of the type used for piston/slipper units within an axial piston pump or motor. In particular it considers a slipper design incorporating a groove on the slipper face and also includes the effect of motion around its associated swash plate. A new set of equations are developed and in generic form for a slipper with any number of grooves. Experimental comparisons are then undertaken and extended to include the effect of relative motion around the swash plate and slipper tilt. A CFD study of the slipper is also presented. Comparisons between analytical, experimental and CFD results show a very good agreement, validating the equations presented and extending the conclusions when tilt and tangential speed are considered.

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Abbreviations

F :

Force (N)

h :

Slipper general height (m)

h 0 :

Average slipper/plate clearance under dynamic conditions (m)

h 1 :

Slipper pocket central clearance (m)

h2=h4:

Slipper first land central clearance (m)

h 3 :

Slipper groove central clearance (m)

h min :

Slipper/plate minimum clearance (m)

h max :

Slipper/plate maximum clearance (m)

C 1 C 3 C 5 C 7 :

Constants (m3/s)

C 2 C 4 C 6 C 8 :

Constants (Pa)

C :

Constant (Nm)

P i :

General pressure (Pa)

P inlet :

Pressure at the slipper central pocket for a radius r 1 (Pa)

P outlet :

Pressure at the slipper external radius r 5 (Pa)

Q i :

Generalised flow (m3/s)

r :

Slipper generic radius (m)

r 1 :

Slipper central pocket orifice radius (m)

r 2 :

Inner land inside radius (m)

r 3 :

Inner land outside radius (m)

r 4 :

Outer land inside radius (m)

r 5 :

Outer land outside radius (m)

u :

Generic flow velocity slipper/plate, due to Poiseulle flow, (m/s)

U :

Slipper tangential velocity around the swash plate (m/s)

α :

Runout amplitude (mm)

ε :

Slipper angle, tilt (rad)

θ :

Slipper angular position versus a coordinate axis (rad)

μ :

Fluid dynamic viscosity (Kg/m s)

ω :

Slipper angular velocity, spin (rad/s)

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Authors and Affiliations

  1. Fluid Mechanics Department, ETSEIT UPC, Colon 11, Terrassa, 08222, Spain

    J. M. Bergada

  2. Cardiff School of Engineering, Cardiff University, Queen’s Buildings, The parade, Cardiff, CF24 3AA, Wales, UK

    J. Watton, J. M. Haynes & D. L. Davies

Authors
  1. J. M. Bergada
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  2. J. Watton
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  3. J. M. Haynes
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  4. D. L. Davies
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Correspondence to J. M. Bergada.

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Bergada, J.M., Watton, J., Haynes, J.M. et al. The hydrostatic/hydrodynamic behaviour of an axial piston pump slipper with multiple lands. Meccanica 45, 585–602 (2010). https://doi.org/10.1007/s11012-009-9277-0

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  • DOI: https://doi.org/10.1007/s11012-009-9277-0

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