Ferrofluid lubrication of porous-rough circular squeeze film bearings

Rajesh C. Shah

doi:10.1140/epjp/s13360-022-02344-z

EPJ

Ferrofluid lubrication of porous-rough circular squeeze film bearings

Rajesh C. Shah^a

Department of Applied Mathematics, Faculty of Technology & Engineering, The Maharaja Sayajirao University of Baroda, 390 001, Vadodara, Gujarat, India

Received: 4 August 2021
Accepted: 3 January 2022
Published online: 1 February 2022

Abstract

In this paper, porous-roughness effects on different circular discs squeeze film bearing designs lubricated with ferrofluid (FF) are studied. Using FF flow model by Rosensweig and continuity equation for the film as well as porous region, modified stochastic Reynolds–Darcy equation is derived for variable magnetic field by considering effects of porosity together with roughness (circumferential and radial) at the lower disc and rotations of both the discs, under the assumption of validity of the Darcy’s law in the porous region. This equation is then applied to predict and compare performances of parallel, exponential, secant and mirror image of secant squeeze film bearing designs for load-carrying capacity

\bar{W}

$\overline{W}$ . According to results, higher values of circumferential roughness parameter and curvature of the upper discs at the centre in downward direction, and smaller values of radial permeability parameter and lateral surface area of the generated opening cylindrical surface gives better performance of the system. In addition, the performance is more pronounced in the case of exponential squeeze film bearing. The following two empirical relations are also established.

\bar{W} \propto C u r v a t u r e o f t h e u p p e r d i s c a t t h e c e n t r e i n d o w n w a r d d i r e c t i o n,

$\overline{W} \propto Curvature\;of\;the\;upper\;disc\;at\;the\;centre\;in\;downward\;direction,\;$

\bar{W} \propto \frac{1}{L a t e r a l S u r f a c e A r e a o f t h e g e n e r a t e d o p e n i n g c y l i n d r i c a l s u r f a c e} .

$\overline{W} \propto \frac{1}{{Lateral\;Surface\;Area\;of\;the\;generated\;opening\;cylindrical\;surface}}.$

12 Internat. Congress of the Balkan Physical Union
July 8-12, 2025
Bucharest, Romania

EPJ

Ferrofluid lubrication of porous-rough circular squeeze film bearings

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