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All Journal Journal of Research in Mathematics Trends and Technology
Andre Ronaldo Situmorang
Universitas Sumatera Utara
Decision Sciences, Operations Research & Management Mathematics

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Numerical Simulation of Effective Viscosity Distribution of Power-Law Engine Oil in Piston–Cylinder Lubrication Under High Shear Conditions Andre Ronaldo Situmorang; Tulus
Journal of Research in Mathematics Trends and Technology Vol. 8 No. 1 (2026): Journal of Research in Mathematics Trends and Technology (JoRMTT)
Publisher : Talenta Publisher

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.32734/jormtt.v8i1.24922

Abstract

This study investigates the behavior of engine oil modeled as a non-Newtonian pseudoplastic fluid using the Power-Law equation under high operational conditions. The computational domain represents the lubricating oil film between the piston and cylinder wall. The governing equations include incompressible continuity and Navier–Stokes equa- tions coupled with a shear-rate-dependent viscosity model. Results show that shear rate con- centrates near the piston surface, reaching the order of 107 s−1 due to strong velocity gradients. As a consequence, effective viscosity decreases significantly in high shear regions, confirming shear-thinning behavior. The viscosity reduction directly affects the hydrodynamic pressure distribution while maintaining stable lubrication performance. These findings highlight the importance of incorporating shear-dependent viscosity to accurately predict lubrication characteristics in piston–cylinder systems operating at elevated shear conditions.
Co-Authors Tulus Tulus