Startseite The inertia effects in rheodynamic lubrication of an externally pressurized thrust bearing using Herschel-Bulkley lubricant with sinusoidal injection
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The inertia effects in rheodynamic lubrication of an externally pressurized thrust bearing using Herschel-Bulkley lubricant with sinusoidal injection

  • Jayakaran Amalraj Isaac ORCID logo EMAIL logo , Alexander Raymand Goudie ORCID logo , Jayakumar Jayaraman ORCID logo und Vidhuran Kumar Moorthy ORCID logo
Veröffentlicht/Copyright: 1. August 2025
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Abstract

In challenging industrial environments, bearings must endure high-speed operations, heavy loads, and maintain high stiffness. This study investigates the synergistic impacts of fluid inertia forces, non-Newtonian behavior and sinusoidal injection of the Herschel-Bulkley lubricant in an externally pressurized circular thrust bearing. To sidestep complex computations, the momentum equation’s “inertia” term is estimated through the mean value average method across the film thickness. Additionally, a mathematical model for a Sinusoidal injection of the lubricant has been presented. Numerical computations have been conducted to determine the thickness of the core, velocity profile, film pressure, and load carrying capacity of the bearing for different values of Herschel-Bulkley number (N), Reynolds number (Re), Power-law index (n), and time, along with different amplitudes of sinusoidal lubricant injection. This study reports the influences of inertial forces and sinusoidal injection in fluid film pressure as well as the load carrying capacity owing to visco-plastic lubricants’ physical parameters at the considered bearing. These findings might be impactful to carry out the considerable heat transfer effects. Further, it will be helpful to continue the research with the converging bearing models.


Corresponding author: Jayakaran Amalraj Isaac, Department of Mathematics, Sri Sivasubramaniya Nadar College of Engineering, Chennai, 603110, India, E-mail:

Acknowledgments

The authors thank the Principal and management of SSN institutions and Madras Christian College for their support in carrying out this work.

  1. Research ethics: Not Applicable.

  2. Informed consent: Not Applicable.

  3. Author contributions: JAI- Conceptualization, Methodology. ARG-Coding and validation. JJ-Resource and data curation. VKM- Resource and data curation.

  4. Use of Large Language Models, AI and Machine Learning Tools: Not Application.

  5. Conflict of interest: Nil.

  6. Research funding: Nil.

  7. Data availability: Further data will be available form corresponding author upon reasonable request.

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Received: 2025-04-24
Accepted: 2025-06-15
Published Online: 2025-08-01

© 2025 Walter de Gruyter GmbH, Berlin/Boston

Heruntergeladen am 18.9.2025 von https://www.degruyterbrill.com/document/doi/10.1515/cppm-2025-0095/html?lang=de
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