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The Effect of the Fluid Film Variable Viscosity on the Hydrostatic Thrust Spherical Bearing Performance in the Presence of Centripetal Inertia and Surface Roughness

Received: 31 July 2017     Accepted: 7 August 2017     Published: 7 March 2018
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Abstract

In response to the importance of the industry great need to the hydrostatic thrust spherical bearing, this study is performed. The stochastic modified Reynolds equation (developed by the author in his previous papers) applied to this type of bearings has become more developed to deal with the bearing static performance under the effect of the fluid film viscosity variation. The study showed the effect of the viscosity variation on the pressure, the load, the flow rate, the frictional torque, the friction factor, the power factor, the stiffness factor and the central pressure ratio as well as the effect of the speed parameter and the eccentricity on the temperature rise. The partial differential equation of the temperature gradient is derived from the fluid governing equations, integrated and applied to this type of bearings to calculate and predict the temperature distribution along the fluid film. The application of this temperature equation proved the excellence of the aforementioned optimum design of this bearing in our previous papers where the temperature of the outlet flow was less than 14 degrees centigrade over its inlet temperature.

Published in International Journal of Mechanical Engineering and Applications (Volume 6, Issue 1)
DOI 10.11648/j.ijmea.20180601.11
Page(s) 1-12
Creative Commons

This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited.

Copyright

Copyright © The Author(s), 2018. Published by Science Publishing Group

Keywords

Hydrostatic Bearings, Spherical Bearings, Surface Roughness, Inertia Effect, Variable Viscosity Effect, Temperature Rise of the Fluid Film

References
[1] Ahmad W. Yacout, Ashraf S. Ismaeel, Sadek Z. Kassab, The combined effects of the centripetal inertia and the surface roughness on the hydrostatic thrust spherical bearing performance, Tribolgy International Journal 2007, Vol.40, No. 3, 522-532.
[2] Dowson D. and Taylor M. Fluid inertia effect in spherical hydrostatic thrust bearings. ASLE Trans. 1967, 10, 316- 324.
[3] Dowson D. and Taylor M. A Re- Examination of hydrosphere performance, ASLE Trans. 1967, 10, 325- 333.
[4] Khalil M. F. Theoretical and experimental analysis of externally pressurized axi-symmetrical bearings, PhD thesis, Alexandria University, Alex. Egypt, 1974.
[5] Essam Salem and Farid Khalil, Variable Viscosity effects in Externally Pressurized Spherical Oil Bearings, Journal of Wear 1978, 50, 221-235.
[6] Rowe W. B. and Stout K. J. Design data and a manufacturing technique for spherical hydrostatic bearings in machine tool applications, Int. J. Mach. Tool Des. Res. 1971, Vol. 11, 293-307.
[7] Keith Brockwell, Scan Decamillo and Waldemar Dmochowski, Measured temperature characteristics of 152 mm diameter pivoted shoe journal bearings with flooded lubrication, Tribology Transaction 2001, vol. 44, No. 4, 543-550.
[8] Minhui He, Cloud C. Hunter and James M. Byrne, Fundamentals of Fluid Film Journal Bearing Operation and Modeling, Proceedings of the thirty fourth Turbo-machinery Symposium 2005.
[9] Srinivasan V. Analysis of Static and Dynamic Load on the Hydrostatic Bearing with Variable Viscosity Affected by the Environmental Temperature, Journal of Environmental Research and Development 2012, Vol.7, No. 1A, 346-353.
[10] Shigang Wang, Xianfeng Du, Mingzhu Li, Zhongliang Cao, Jianjia Wang, Analysis of temperature effect on the lubricating state of hydrostatic bearing, Journal of Theoretical and Applied Information Technology 2013, Vol. 48, No. 2, 817-821.
[11] Xibing Li, Xun Wang, Ming Li, Yunshi Ma and Ying Huang, The Research Status and Progress of Heavy/Large Hydrostatic Thrust Bearing, Hidawi Publishing Corporation, Advances in Mechanical Engineering, volume 2014, Article ID: 982584. http://dx.doi.org/10.1155/2014/982584
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  • APA Style

    Ahmad Waguih Yacout Elescandarany. (2018). The Effect of the Fluid Film Variable Viscosity on the Hydrostatic Thrust Spherical Bearing Performance in the Presence of Centripetal Inertia and Surface Roughness. International Journal of Mechanical Engineering and Applications, 6(1), 1-12. https://doi.org/10.11648/j.ijmea.20180601.11

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    ACS Style

    Ahmad Waguih Yacout Elescandarany. The Effect of the Fluid Film Variable Viscosity on the Hydrostatic Thrust Spherical Bearing Performance in the Presence of Centripetal Inertia and Surface Roughness. Int. J. Mech. Eng. Appl. 2018, 6(1), 1-12. doi: 10.11648/j.ijmea.20180601.11

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    AMA Style

    Ahmad Waguih Yacout Elescandarany. The Effect of the Fluid Film Variable Viscosity on the Hydrostatic Thrust Spherical Bearing Performance in the Presence of Centripetal Inertia and Surface Roughness. Int J Mech Eng Appl. 2018;6(1):1-12. doi: 10.11648/j.ijmea.20180601.11

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  • @article{10.11648/j.ijmea.20180601.11,
      author = {Ahmad Waguih Yacout Elescandarany},
      title = {The Effect of the Fluid Film Variable Viscosity on the Hydrostatic Thrust Spherical Bearing Performance in the Presence of Centripetal Inertia and Surface Roughness},
      journal = {International Journal of Mechanical Engineering and Applications},
      volume = {6},
      number = {1},
      pages = {1-12},
      doi = {10.11648/j.ijmea.20180601.11},
      url = {https://doi.org/10.11648/j.ijmea.20180601.11},
      eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ijmea.20180601.11},
      abstract = {In response to the importance of the industry great need to the hydrostatic thrust spherical bearing, this study is performed. The stochastic modified Reynolds equation (developed by the author in his previous papers) applied to this type of bearings has become more developed to deal with the bearing static performance under the effect of the fluid film viscosity variation. The study showed the effect of the viscosity variation on the pressure, the load, the flow rate, the frictional torque, the friction factor, the power factor, the stiffness factor and the central pressure ratio as well as the effect of the speed parameter and the eccentricity on the temperature rise. The partial differential equation of the temperature gradient is derived from the fluid governing equations, integrated and applied to this type of bearings to calculate and predict the temperature distribution along the fluid film. The application of this temperature equation proved the excellence of the aforementioned optimum design of this bearing in our previous papers where the temperature of the outlet flow was less than 14 degrees centigrade over its inlet temperature.},
     year = {2018}
    }
    

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    AU  - Ahmad Waguih Yacout Elescandarany
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    JO  - International Journal of Mechanical Engineering and Applications
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    UR  - https://doi.org/10.11648/j.ijmea.20180601.11
    AB  - In response to the importance of the industry great need to the hydrostatic thrust spherical bearing, this study is performed. The stochastic modified Reynolds equation (developed by the author in his previous papers) applied to this type of bearings has become more developed to deal with the bearing static performance under the effect of the fluid film viscosity variation. The study showed the effect of the viscosity variation on the pressure, the load, the flow rate, the frictional torque, the friction factor, the power factor, the stiffness factor and the central pressure ratio as well as the effect of the speed parameter and the eccentricity on the temperature rise. The partial differential equation of the temperature gradient is derived from the fluid governing equations, integrated and applied to this type of bearings to calculate and predict the temperature distribution along the fluid film. The application of this temperature equation proved the excellence of the aforementioned optimum design of this bearing in our previous papers where the temperature of the outlet flow was less than 14 degrees centigrade over its inlet temperature.
    VL  - 6
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Author Information
  • Department of Mechanical Engineering, Faculty of Engineering, Alexandria University, Alex, Egypt

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