What question did this study set out to answer?

To develop a numerical solution for isothermal hydrodynamic lubrication between heavily loaded elastic cylinders by simultaneously satisfying elasticity and hydrodynamic flow requirements.

June 1, 1959Journal of Mechanical Engineering Science

A Numerical Solution to the Elasto-Hydrodynamic Problem

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Authors

DDD. DowsonUniversity of Leeds GHG. R. HigginsonUniversity of Leeds

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Implication

Computational analysis reveals pressure profiles in heavily loaded lubricated cylinders, indicating that elastic distortion and pressure-dependent viscosity govern film behavior.

Key Points

To develop a numerical solution for isothermal hydrodynamic lubrication between heavily loaded elastic cylinders by simultaneously satisfying elasticity and hydrodynamic flow requirements.
Formulated an iterative numerical method that couples the hydrodynamic Reynolds equation with elastic boundary deformation formulas under isothermal conditions.
Incorporated lubricant piezoviscosity (viscosity dependence on pressure) across centerline pressures of 5, 10, 20, and 30 ton/in².
Evaluated and compared solutions across both rigid and elastic solids maintaining an identical centerline film thickness.
Successfully generated stable pressure distribution curves fulfilling coupled hydrodynamic and elasticity conditions up to 30 ton/in².
Demonstrated marked deviations in pressure profile and load-carrying capacity between deformable elastic cylinders and idealized rigid cylinders under matching film thickness conditions.

Cite This Study

Dowson et al. (1959) studied this question.

synapsesocial.com/papers/69e722cfd7e5dbdabbdd2821 https://doi.org/10.1243/jmes_jour_1959_001_004_02

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Implication

Computational analysis reveals pressure profiles in heavily loaded lubricated cylinders, indicating that elastic distortion and pressure-dependent viscosity govern film behavior.

A Numerical Solution to the Elasto-Hydrodynamic Problem

Discussion

Member takes

Implication

Key Points

Cite This Study

A Numerical Solution to the Elasto-Hydrodynamic Problem

Discussion

Member takes

Implication

Key Points

Cite This Study

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