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An Average Flow Model for Couple Stress Fluids

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Abstract

The interactions of surface roughness and flow rheology of couple stress fluids on thin film lubrication problems are modeled. The generalized average Reynolds equation as well as the flow factors is derived. The effects of couple stress parameters (l), the standard derivation of surface roughness (σ i ), the Peklenik number (γ i), and the roughness orientation angle (θ i) on the flow factors (φ p ij , φ s ij) are discussed. In results, the related Reynolds-type equations and flow factors for Newtonian fluids, power-law non-Newtonian fluids, mixtures of Newtonian and power-law non-Newtonian fluids, and couple stress fluids are tabulated.

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Authors and Affiliations

  1. Department of Mechanical Engineering, National Kaohsiung University of Applied Sciences, 415 Chien Kung Road, Kaohsiung, Taiwan, 80782

    Wang-Long Li

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  1. Wang-Long Li
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Correspondence to Wang-Long Li.

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Li, WL. An Average Flow Model for Couple Stress Fluids. Tribology Letters 15, 279–292 (2003). https://doi.org/10.1023/A:1024873422097

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