A Numerical Study of Elasto-Hydrodynamic Problem

Student Number

25305

Degree

Master of Science in Mathematics

Department

Department of Mathematical Sciences

Faculty/School

School of Mathematics and Computer Science (SMCS)

Date of Award

Fall 2024

Advisor

Dr. Abdul Majid, Assistant Professor and Program Coordinator MS and PhD Mathematics, Institute of Business Administration, Karachi

Committee Member 1

Dr. Nizamuddin Hussain, Examiner, DHA SUFFA University Phase 7, Karachi

Committee Member 2

Dr. Hisham Bin Zubair, Chairperson, Department of Mathematical Sciences Institute of Business Administration, Karachi

Project Type

Thesis

Access Type

Restricted Access

Document Version

Full

Pages

viii, 40

Keywords

Elasto-Hydrodynamic Lubrication, Reynoldsā€™ Equation, Elastic Deformation, Tribology, Finiite Differences, Finite Elements.

Abstract

The Elastohydrodynamic Lubrication (EHL) problem is thoroughly studied numerically in this thesis, with an emphasis on the complex behavior of lubricants at high pressure and different 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, namely around š¯›½ = 2000, where š¯›½ is a dimensionless parameter. Using a shifted sigmoid function to modulate sliding velocities and providing a more detailed knowledge of lubrication dynamics is a crucial component of this research. Furthermore, in order to properly model the deformation of lubricated surfaces under load, the thesis investigates the link between the Reynolds equation and the elastic de- formation equation. The results of this study provide significant understanding of the intricate relationship between fluid dynamics and elastic deformation in EHL, which is beneficial for optimizing lubrication performance in engineering applications. In addition to improving the theoretical foundation of EHL, this study has application in the design and upkeep of mechanical systems where effective lubrication is essential.

This document is currently not available here.

Share

COinS