Theoretical Research on Flow and Heat Transfer Characteristics of Hydrostatic Oil Film in Flat Microfluidic Boundary Layer

Liansheng Liu, Huiru Qu, Runze Duan, Teng Liu, Chentao Li, Enyu Wang and Lujia Liu
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Liansheng Liu: School of Energy and Environmental Engineering, Hebei University of Technology, Tianjin 300401, China
Huiru Qu: School of Energy and Environmental Engineering, Hebei University of Technology, Tianjin 300401, China
Runze Duan: School of Energy and Environmental Engineering, Hebei University of Technology, Tianjin 300401, China
Teng Liu: School of Mechanical Engineering, Hebei University of Technology, Tianjin 300401, China
Chentao Li: School of Mechanical Engineering, Hebei University of Technology, Tianjin 300401, China
Enyu Wang: School of Energy and Environmental Engineering, Hebei University of Technology, Tianjin 300401, China
Lujia Liu: Institute of Fundamental Technological Research, Polish Academy of Sciences, Pawińskiego 5b, 02-106 Warsaw, Poland

Energies, 2022, vol. 15, issue 7, 1-13

Abstract: The hydrostatic bearing is the core component of ultra-precision computer numerical control (CNC) machine tools. Because the temperature rise in the oil film of hydrostatic bearings seriously affects the working accuracy of the bearings, it is important to study the flow and heat transfer characteristics of the oil film. Based on the physical model of an incompressible viscous fluid flowing in a flat microfluidic boundary layer, velocity, temperature and heat flux distribution equations of oil film are constructed by theories of heat transfer and hydrodynamics. Then, the effects of several parameters on velocity distribution, temperature distribution and heat flux distribution are analyzed, such as the upper plate velocity, the channel length, and so on. The results show that the dimensionless velocity of the oil film decreases with the increase in the upper plate velocity and the channel length. The oil film temperature distribution can be divided into three zones: the increasing zone, stabilizing zone and decreasing zone. The heat flux decreases linearly with the increase in the plate thickness, and increases linearly with the increase in the temperature difference.

Keywords: microfluidic boundary layer; hydrostatic oil film; velocity; temperature; heat flux (search for similar items in EconPapers)
JEL-codes: Q Q0 Q4 Q40 Q41 Q42 Q43 Q47 Q48 Q49 (search for similar items in EconPapers)
Date: 2022
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