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Variational Principle For A Fractal Lubrication Problem

Author

Listed:
  • YU-TING ZUO

    (College of Mechanical Engineering, Baoji University of Arts and Sciences, Baoji 721016, P. R. China)

Abstract

Micro/nanoscale lubrication must take into account the fractal profile of the shaft and bearing surfaces. A new fractal rheological model is proposed to describe the properties of the non-Newtonian fluid, and a fractal variational principle is established by the semi-inverse method, and finally the Lagrange multipliers can be found in the obtained variational formulation. This work provides a new fractal approach to nano/micro lubrication.

Suggested Citation

  • Yu-Ting Zuo, 2024. "Variational Principle For A Fractal Lubrication Problem," FRACTALS (fractals), World Scientific Publishing Co. Pte. Ltd., vol. 32(05), pages 1-6.
    • Handle: RePEc:wsi:fracta:v:32:y:2024:i:05:n:s0218348x24500804
    DOI: 10.1142/S0218348X24500804
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