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Purpose

The purpose of this study is to propose a fractal model of thermal contact conductance (TCC) of the involute arc cylindrical gear considering friction coefficient.

Design/methodology/approach

The influences of fractal dimension, fractal roughness and surface modification coefficient on the TCC of the rough surface were studied.

Findings

The results indicate that increasing the fractal dimension or reducing the fractal roughness enhances the TCC of the rough surface, and raising the surface correction coefficient contributes to this improvement.

Originality/value

In this work, the novelty of the work is that the authors first established a novel fractal model of TCC of the involute arc cylindrical gear considering friction coefficient. The achievements of this study provide some theoretical basis for the investigation of the TCC of the involute arc cylindrical gear.

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