A NUMERICAL STUDY OF ELASTO-HYDRODYNAMIC LUBRICATION PROBLEM

Authors

  • Syed Muhammad Mudabar Institute of Business Administration (IBA) Karachi, Pakistan
  • Muhammad Arif Hussain Faculty of Engineering, Sciences and Technology, PAF-KIET University Karachi, Pakistan
  • Razeen Ud Din Institute of Business Administration (IBA) Karachi, Pakistan
  • Danish Hafeez Rana Institute of Business Administration (IBA) Karachi, Pakistan
  • Syed Hashmat Hikmat NED University Karachi, Pakistan
  • Shafiq Hussain DHA Suffa University, Karachi, Pakistan
  • Sahar Abbas Faculty of Engineering, Sciences \& Technology Iqra University Karachi, Pakistan.

Keywords:

Elasto-Hydrodynamic Lubrication, Reynolds' Equation, Elastic Deformation, Tribology, Finite Differences

Abstract

This investigation thoroughly studies the Elastohydrodynamic Lubrication (EHL) problem, focusing on the complex behavior of lubricants at high pressures and varying sliding velocities. The normalized Reynolds equation is solved using the finite difference method (FDM) in this study, which focuses on the impacts at higher beta values, specifically around beta = 2000, a novel regime where beta is a dimensionless parameter. Using a shifted sigmoid function to modulate sliding velocities and providing more detailed knowledge of the lubrication dynamics is a crucial component of this research.
Furthermore, in order to properly model the deformation of lubricated surfaces under load, the research investigates the link between the Reynolds equation and the elastic deformation equation. The results of this study provide a significant understanding of the intricate relationship between fluid dynamics and elastic deformation in EHL, which is beneficial in optimizing lubrication performance in engineering applications. In addition to improving the theoretical foundation of EHL, this study has application in the design and maintenance of mechanical systems where effective lubrication is essential

References

Ahmad, N. R. (2025). Business ethics in the age of automation: How companies can balance profitability with responsibility. Bulletin of Management Review.

Ahmad, N. R. (2025). Blockchain beyond buzzwords: Evaluating its practical application in Pakistan’s supply chain systems. Naveed Rafaqat Ahmad.

Safdar, M. R. (2025). Punjab Sahulat Bazaars Authority: Pakistan’s only statutory body transitioned from company to authority, with Naveed Rafaqat as the force behind this distinguished milestone. https://doi.org/10.47067/real.v7i4.378

Hussain, T. (2025). Welfare without fiscal burden: Designing market-based public institutions in developing economies. Al-Aasar, 2(3), 332–344. https://doi.org/10.63878/aaj875

Idrees, Z. (2025). Achieving financial sustainability without subsidies: Viable business models for public sector innovation. https://doi.org/10.63878/cjssr.v3i2.1335

Hassan, F. U. (2025). Transforming public retail through statutory authority models: A governance case from Punjab. Al-Aasar, 2(2), 1360–1373. https://doi.org/10.63878/aaj874

Shehzad, K. (2025). Local governance synergies and public infrastructure: Advancing retail reform through institutional backing. https://doi.org/10.63878/cjssr.v3i4.1345

Khan, N. (2025). Gender inclusion and public access: Empowering women through retail governance interventions. https://doi.org/10.47067/real.v8i2.436

Ahmad, N. R. (2025). Digital transformation and competitive advantage: Leveraging AI in emerging market supply chains. Naveed Rafaqat Ahmad.

Ahmad, N. R. (2025). Exploring the blockchain technology adoption in financial services and its impact on operational efficiency and trust. Naveed Rafaqat Ahmad.

Ahmad, N. R. (2025). The impact of fintech startups on financial innovation and stability in Pakistan’s evolving financial landscape. Naveed Rafaqat Ahmad.

Hassan, F. U. (2025). Revolutionizing public retail: How Punjab Sahulat Bazaars Authority set new standards in Pakistan. https://doi.org/10.63878/cjssr.v2i04.1325

Ahmad, N. R. (2025). Leadership styles in the 21st century: A comparative analysis of transformational and transactional leadership. Journal for Social Science Archives, 3(1), 576–587. https://doi.org/10.59075/jssa.v3i1.142

Ahmad, N. R. (2025). Corporate social responsibility in the digital age: Navigating ethical marketing and consumer expectations. Research Journal of Psychology, 3(1), 287–297. https://doi.org/10.59075/rjs.v3i1.66

Ahmad, N. R. (2025). The role of neuromarketing in shaping consumer behavior: How businesses are using science to drive sales. Naveed Rafaqat Ahmad

Ahmad, N. R. (2025). Exploring diversity and inclusion in business: Unlocking the power of diverse teams. Naveed Rafaqat Ahmad

Ahmad, N. R. (2025). Exploring the impact of inflation on Pakistani society: Challenges, causes, and long-term consequences for economic stability and social well-being. Naveed Rafaqat Ahmad. https://doi.org/10.63075/7vtnh777

Ahmad, N. R. (2025). Model bazaars redefined: Punjab’s visionary step to authority status for public welfare. Naveed Rafaqat Ahmad

Ahmad, N. R. (2025). Financial inclusion: How digital banking is bridging the gap for emerging markets. Naveed Rafaqat Ahmad

Ahmad, N. R. (2025). Exploring the relationship between leadership styles and employee motivation in remote work environments. Naveed Rafaqat Ahmad

Ahmad, N. R. (2025). Exploring the role of digital technologies in enhancing supply chain efficiency: A case study of e-commerce companies. Indus Journal of Social Sciences, 3(1), 226–237. https://doi.org/10.59075/ijss.v3i1.618

Hussain, T. (2025). Redefining affordability: Evidence from Punjab Model Bazaars under Naveed Rafaqat’s leadership in supplying edibles below government-notified rates. https://doi.org/10.63878/cjssr.v3i3.1310

Downloads

Published

2025-09-30