Multiscale Analysis of Hydrodynamic Step Bearing with Ultra Low Surface Separations

Document Type : Regular Article

Authors

College of Mechanical Engineering, Changzhou University, Changzhou, Jiangsu Province, China

10.47176/jafm.15.03.33155

Abstract

The paper presents the multiscale analysis for the hydrodynamic step bearing with ultra low surface clearances where only the physical adsorbed layer is present in the outlet zone and the continuum fluid flow mainly occurs in the inlet zone. This bearing can occur under heavy loads. The flow in the outlet zone is described by the nanoscale flow equation, while the flow in the inlet zone is described by the multiscale flow equation incorporating both the adsorbed layer flow and the intermediate continuum fluid flow. The pressure and carried load of the bearing were derived. Exemplary calculations show that the fluid-bearing surface interaction has the strongest influence on the pressure and carried load of this bearing when the bearing surface clearance is as small as possible, the bearing step size is close to the surface clearance in the outlet zone and the value of the geometrical parameter  is the optimum one, which depends on the fluid-bearing surface interaction. For the strong fluid-bearing surface interaction, the carried load of the bearing can be 10 times higher than that calculated from the classical hydrodynamic lubrication theory.

Keywords


Andharia, P. I., J. L. Gupta and G. M. Deheri (2001). Effect of Surface Roughness on Hydrodynamic Lubrication of Slider Bearings. Tribology Transactions 44, 291-297.##
Asada, T., H. Saitou and D. Itou (2007). Design of   hydrodynamic bearing for miniature hard disk drives. IEEE Transactions on Magnetics 43, 3721-3726.##
Atkas, O. and N. R. Aluru (2002). A combined continuum/DSMC technique for multiscale analysis of microfluidic filters. Journal of Computational Physics 178,342-372.##
Dwivedi, V. K.,  S. Chand and  K. N. Pandey (2013). Effect of different flow regime on the static and dynamic performance parameter of hydrodynamic bearing. Procedia Engineering 51, 520-528.##
Ho, C. M. and Y. C. Tai (1998). Micro-electro-mechanical-systems and fluid flows. Annual Review of Fluid Mechanics 30, 579-612.##
Judy, J. W. (2001). Microelectromechanical systems (MEMS): fabrication, design and applications. Smart Materials and Structures 10, 1115.##
Lin, W., J. Li and Y. B. Zhang (2022). Comparison of the models for multiscale mixed hydrodynamics in a line contact. Journal of Applied Fluid Mechanics, 15, 515-521.##
Liu, J., S. Chen, X. Nie and M. O. Robbins (2007). A continuum-atomistic simulation of heat transfer in micro- and nano- flows. Journal of Computational Physics 227, 279-291.##
Machado, T. H. and K. L. Cavalca (2015). Modeling of hydrodynamic bearing wear in rotor-bearing systems. Mechanics Research Communications 69, 15-23.##
Maharshi, K.,  T. Mukhopadhyay, B. Roy, L. Roy and  S. Dey (2018). Stochastic dynamic behaviour of hydrodynamic journal bearings including the effect of surface roughness. International Journal of Mechanical Sciences 142-143, 370-383.##
Naduvinamani, N. B., P. S. Hiremath and G. Gurubasavaraj (2002). Surface roughness effects in a short porous journal bearing with a couple stress fluid. Fluid Dynamics Research 31, 333.##
Nie, X. B., S. Chen and M. O. Robbins (2004). A continuum and molecular dynamics hybrid method for micro- and nano- fluid flow. Journal of Fluid Mechanics 500, 55-64.##
Pinkus, O. and B. Sternlicht (1961). Theory of Hydrodynamic Lubrication. McGraw-Hill, New York.##
Prakash, J. and H. Peeken (1985). The combined effect of surface roughness and elastic deformation in the hydrodynamic slider bearing problem. ASLE Transactions 28, 69-74.##
Prasad, E. S., T. Nagaraju and J. P. Sagar (2012). Thermohydrodynamic performance of a journal bearing with 3D-surface roughness and fluid inertia effects. International Journal of Applied Research in Mechanical Engineering 2, 18-24.##
Qian, C., H. Wang, X. Jiang and Y. B. Zhang (2017). An abnormal nano step bearing constructed by physical adsorption. Journal of the Balkan Tribological Association 23, 158-165.##
Qian, C., H. Wang, Y. Y. Zhu, X. Jiang and Y. B. Zhang (2016). A study on a Micro/nano step bearing with small steps. Journal of the Balkan Tribological Association 22, 2269-2283.##
Ramakrishnan, N., E. C. Johns, Y. Zhao, J. D. Kiely and P. B. Chu (2007). Sliding contact micro-bearing for nano-precision sensing and positioning. International Solid-State Sensors, Actuators and Microsystems Conference, 9828809.##
Shao, S. J. and Y. B. Zhang (2020). Study on multiscale hydrodynamic step bearing. Journal of Modern Mechanical Engineering and Technology 7, 66-73.##
Siddangouda, A., T. V. Biradar and N. B. Naduvinamani (2014). Combined effects of micropolarity and surface roughness on the hydrodynamic lubrication of slider bearings. Journal of the Brazilian Society of Mechanical Sciences and Engineering 36, 45-58.##
Sun, J., Y. He and W. Q. Tao (2010). Scale effect on flow and thermal boundaries in micro-/nano- channel flow using molecular dynamics-continuum hybrid simulation method. International Journal For Numerical Methods In Engineering 81, 207-228.##
Swanson, E. (2005). Fixed-geometry, hydro-dynamic bearing with enhanced stability characteristics. Tribology Transactions 48, 82-92.##
Zhang, Y. B. (2021). Multiscale hydrodynamics in line contacts. Mechanics Research Communications 111, 103658.##
Zhang, Y. B. (2022). Multiscale mixed hydrodynamics in line contacts. Continuum Mechanics and Thermodynamics 34, 507-518.##
Zhang, Y. B. (2020). Modeling of flow in a very small surface separation. Applied Mathematical Modeling 82, 573-586.##
Zhang, Y. B. (2016). The flow equation for a nanoscale fluid flow. International Journal of Heat and Mass Transfer 92, 1004-1008.##
Zhang, Y. B. and M. J. Pang (2015). An analysis of a concentric micro/nano journal bearing constructed by physical adsorption. Journal of the Balkan Tribological Association 21, 950-964.##
Zhang, Y. B. (2015a). Novel nano bearings constructed by physical adsorption. Scientific Reports 5, 14539##
Zhang, Y. B. (2015b). Parametric optimization of a nano slider bearing. Journal of the Balkan Tribological Association 21, 952-960.##
Volume 15, Issue 3 - Serial Number 64
May and June 2022
Pages 737-745
  • Received: 05 July 2021
  • Revised: 20 January 2022
  • Accepted: 23 February 2022
  • First Publish Date: 14 March 2022