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Static and dynamic performances of ferrofluid lubricated long journal bearing

  • Rajesh C. Shah ORCID logo EMAIL logo and Rajiv B. Shah

Abstract

Due to the advantageous property of reduction of load friction, low wear and good damping characteristics, journal bearings are widely used in industry. They are equipping various rotating machineries like small electrical motors to large generators, internal combustion engines, centrifugal pumps, turbine shaft of most jet engines, crankshaft of an automobile engines, etc. In this paper, static and dynamic performances of ferrofluid (FF) lubricated long journal bearing are studied using rotational and translational approach of the journal. Here, FF is controlled by the transverse uniform magnetic field. The modified Reynolds equation is derived by considering FF flow behaviour given by Shliomis and continuity equation in the film region. The dimensionless expressions for load-carrying capacity, frictional force and coefficient of friction are studied for static case, while the dimensionless expressions for stiffness coefficients and damping coefficients are studied for dynamic case. It is observed that comparing with conventional lubricant the bearing performance is significantly modified in the present analysis.


Corresponding author: Rajesh C. Shah, Department of Applied Mathematics, Faculty of Technology & Engineering, The Maharaja Sayajirao University of Baroda, Vadodara390 001, Gujarat State, India. E-mail:

Acknowledgements

The authors are thankful to the editor and reviewers for their valuable comments.

  1. Author contribution: All the authors have accepted responsibility for the entire content of this submitted manuscript and approved submission.

  2. Research funding: None declared.

  3. Conflict of interest statement: The authors declare that they have no conflict of interest.

Appendix A

Leibnitz’s rule:

(A1)xABf(x,t)dt=ABxf(x,t)dt+f(x,B)Bxf(x,A)Ax

Using (A1),

x0hudz=0huxdz+uz=hhxuz=0(0)x

which implies, using (10), as

0huxdz=x0hudzUhx+(0)(0)x=x0hudzUhx.

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Received: 2021-03-02
Revised: 2021-04-15
Accepted: 2021-04-15
Published Online: 2021-05-14
Published in Print: 2021-06-25

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