Bachelor/Master thesis: Analytical Approach to Solving the Reynolds Equation

Webseite Institut für Maschinenelemente und Systementwicklung

The Institute of Machine Elements and System Engineering researches the fundamental structural and tribological behavior of machine elements and represents them in experimentally validated model descriptions. These model descriptions are used to analyse and design the functional, loss and noise behavior of entire technical systems with a focus on drive technology. The developed models are also used to research and develop methods of Model Based Systems Engineering as a central element of future inductive product development processes.

In the intricate world of tribology, the study of friction, wear, and lubrication, understanding the dynamics of fluid flow within tribological systems is paramount. At the heart of this investigation lies the Reynolds Equation, a fundamental component that governs the lubrication conditions influencing the efficiency and reliability of mechanical components such as bearings and seals. Our research endeavors aim to unravel the intricacies of the Reynolds Equation through a dedicated focus on analytical approaches. The motivation behind delving into analytical approaches for solving the Reynolds Equation stems from the inherent complexity of tribological systems. While numerical methods have played a significant role, analytical solutions offer a unique perspective and an opportunity to gain deeper insights into the underlying mechanisms.


  • Literature Review: Conduct a comprehensive review of existing literature on analytical methods for solving the Reynolds Equation.
  • Method Implementation: Apply analytical techniques to tribological scenarios, considering factors such as pressure distribution, film thickness, and frictional characteristics.
  • Analysis and Comparison: Critically analyze and compare the effectiveness of different analytical approaches in solving tribological challenges and compare with numerical methods.


  • Strong interest in fluid tribology, analytical methods.
  • Eagerness to apply analytical techniques to solve tribological challenges.
  • Solid foundation in mathematics
  • Ability to critically evaluate and synthesize information from diverse sources

What we offer:

  • In-depth knowledge of solutions to the Reynolds equation in tribological systems.
  • Intensive support in a highly motivated and interdisciplinary team
  • Contribution to the growing research in the field of tribology and lubrication engineering.
  • Immediate start possible


Auf deine aussagekräftige Bewerbung per E-Mail freut sich:

Ahmed Saleh, M. Sc.
Institut für Maschinenelemente und Systementwicklung

Schinkelstraße 10, 52062 Aachen

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