Abstract
For size effect on solid-liquid interface of hydrostatic bearing oil film gap flow in two-dimension, fluid dynamic method is applied to investigate the influence of size effect on bearing capacity, dynamic stiffness and other performances. With the consideration of size effect, Reynolds equation is modified by adopting velocity slip boundary condition into Reynolds equation. The sensitivity factors are used to make a quantitative and qualitative analysis. Numerical simulation results show that size effect will affect bearing performances to a certain degree and the effect curve of size effect on bearing performances are given. The four maximum oil film pressures reduce with the increase of slip length. The maximum sensitivity of bearing capacity is 81.94%.
Highlights
Hydrostatic bearings are widely used in precision machines
The ratio of surface area increases from 102 m-1to 106m-1, which will accelerate the process of heat transfer on the surface, thereby the temperature rise of the film will be reduced; on the other hand shows a velocity gradient effect, i.e. the shear stress, which along the surface normal is increased since size shrink
It can be seen from the modified Reynolds equation that slip in the Z direction of journal is not introduced into the Eq(7), that is, the slip in the Z direction of journal does not affect oil film flow
Summary
Hydrostatic bearings are widely used in precision machines. Oil film of hydrostatic bearing plays an important role in balancing external load, reducing friction, eliminating wear and so on. With the consideration of the scale division of conventional liquid flow, the research of oil film flow of hydrostatic bearing has entered into micro-scale. The ratio of surface area increases from 102 m-1to 106m-1, which will accelerate the process of heat transfer on the surface, thereby the temperature rise of the film will be reduced; on the other hand shows a velocity gradient effect, i.e. the shear stress, which along the surface normal is increased since size shrink. Comparing the result with non-slip model, the influences of size effect on hydrostatic bearing performances are given. This provides a new method for further research on liquid flow in micro-scale
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