VARIATIONAL PRINCIPLE FOR A FRACTAL LUBRICATION PROBLEM

Yu-Ting Zuo ()
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Yu-Ting Zuo: College of Mechanical Engineering, Baoji University of Arts and Sciences, Baoji 721016, P. R. China

FRACTALS (fractals), 2024, vol. 32, issue 05, 1-6

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.

Keywords: Lagrange Functional; Variational Theory; Euler–Lagrange Equation; He’s Semi-Inverse Method; Reynolds Equation (search for similar items in EconPapers)
Date: 2024
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DOI: 10.1142/S0218348X24500804

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