Based on the Jenkins model for ferrofluid flow regarding the performance of squeeze-film lubrication between rotating upper spherical surface and circumferentially rough lower plate is presented. Here, for hydrodynamic lubrication, we have adopted the ferrohydrodynamic theory. Further, using Christensen’s stochastic model, surface roughness is examined. In the paper, in the presence of a radially variable magnetic field, rotations of both the upper and lower surfaces as well as roughness of the surface, the Reynolds type equation for the squeeze-film bearing is established. By using the Reynolds type equation, expressions for the non-dimensional film pressure and load-carrying capacity are obtained for circumferential roughness pattern. Neuringer–Rosensweig (NR) model results are computed using the Jenkins model. The results show that non-dimensional film pressure increases remarkably when the non-dimensional radial parameter (R) increases. Also, as the nominal minimum film thickness increases, load-carrying capacity decreases in the Jenkins model. However, as a result of Tables 5 and 6, the non-dimensional load-carrying capacity of the Jenkins model is improved compared to that of the NR model.
BurtonRA. Effect of two-dimensional sinusoidal roughness on the load support characteristics of a lubricant film. Trans ASME J Basic Eng series D1963; 85(2): 258–264.
2.
CitronSJ. Slow viscous flow between rotating concentric infinite cylinder with axial roughness. Trans ASME J Appl Mech1962; 84: E188–E192.
3.
DaviesMG. The generation of pressure between rough fluid lubricated, moving, deformable surface. Lubric Eng1963; 19(6): 246–252.
4.
TzengSTSaibelE. Surface roughness effect on slider bearing lubrication. Trans ASLE1967; 10(3): 334–348.
5.
ChristensenH. Stochastic model for hydrodynamic lubrication of rough surfaces. Proc Inst Mech Eng Part J1969; 184(55): 1013–1026.
6.
ChristensenHTonderK. The hydrodynamic lubrication of rough journal bearings. ASME J Lubricat Technol1973; 95 :166–172.
7.
PrakashJChristensenH. Squeeze films between two rough rectangular plates. J Mech Eng Sci1978; 20(4): 183–188.
8.
HsuCHLaiCLuRF, et al.Combined effects of surface roughness and rotating inertia on the squeeze film characteristics of parallel circular disks. J Mar Sci Technol2009; 17(1): 60–66.
9.
BastiDP. Effect of surface roughness and couple stresses on squeeze films between curved annular plates. ISRN Tribology2013; 2013: Article 640178.
10.
NaduvinamaniNBHiremathPSGurubasavarajG. Effect of surface roughness on the couple-stress squeeze film between a sphere and a flat plate. Tribol Int2005; 38(5): 451–458.
11.
LinJRLiangLJLinMC, et al.Effects of circumferential and radial rough surfaces in a non-Newtonian magnetic fluid lubricated squeeze film. Appl Math Model2015; 39: 6743–6750.
12.
AgrawalVK. Magnetic fluid based porous inclined slider bearing. Wear1986; 107: 133–139.
13.
ChiCQWangZSZhaoPZ. Research on a new type of ferrofluid-lubricated journal bearing. J Magn Magn Mater1990; 85: 257–260.
14.
HuangWShenCLiaoS, et al.Study on the ferrofluid lubrication with an external magnetic field. Tribol Lett2001; 41: 145-151.
15.
ShahRCBhatMV. Squeeze film based on magnetic fluid in curved porous rotating circular plates. J Magn Magn Mater2001; 208: 115–119.
16.
ShahRCPatelDB. Magnetic fluid lubrication of porous pivoted slider bearing with slip and squeeze velocity. Int J Indust Math2014; 6(3): 199–206.
17.
ShahRCKatariaRC. On the squeeze film characteristics between a sphere and a flat porous plate using ferrofluid. Appl Math Model2016; 40: 2473–2484.
18.
AndhariaPIDeheriGM. Performance of magnetic fluid-based squeeze film between longitudinally rough elliptical plates. Int Scholarly Res Notice2013; 2013: article 482604. Hindawi Publishing Corporation.
19.
ShahRCPatelDA. On the ferrofluid lubricated squeeze film characteristics between a rotating sphere and a radially rough plate. Meccanica2016; 51(8):1973–1984.
20.
ShahRCBhatMV. Ferrofluid lubrication in a long journal bearing. Tribol Int2004; 37: 441–446.
21.
PatelJRDeheriGM. Jenkins model based magnetic squeeze film in curved rough circular plates considering slip velocity: a comparison of shapes. FME Transact2015; 43:144–153.
22.
PatelJRDeheriGM. Combined effect of slip velocity and roughness on the Jenkins model based ferrofluid lubrication of a curved rough annular squeeze film. J Appl Fluid Mech2016; 9 (2): 855–865.
23.
PatelJRDeheriGM. Numerical modeling of Jenkins model based Ferrofluid lubrication squeeze film performance in rough curved annular plates under the presence of slip velocity. Facta Universitatis (NIS)2016; 31(1): 11–31.
24.
LaghrabliSKhlifiMENabhaniM, et al.Ferrofluid lubrication of finite journal bearings using Jenkins model. Lubric Sci2017; 29, 1–14.
25.
ChanDYCHornRG. The drainage of thin liquid films between solid Surfaces. J Chem Phys1985; 83: 5311–5324.
26.
MatthewsonMJ. Adhesion of spheres by thin liquid films. Philos Mag A1988; 57(2): 207–216.
27.
RosensweigRE. Ferrohydrodynamics. New York: Cambridge University Press, 1985.
28.
JenkinsJT. A theory of magnetic fluids. Arch Ration Mech Anal1972; 46(1): 42–60.
29.
MauginGA. The method of virtual power in continuum mechanics: application to coupled fields. Acta Mech1980; 35: 1–70.
30.
ShahRCPatelDAPatelDB. Ferrofluid-based annular squeeze film bearing with the effects of roughness and micromodel patterns of porous structures. Tribol Mater Surface Interfac2018; 12(4): 208–222.
31.
LinJRHsuCHLaiC. Surface roughness effects on the oscillating squeeze-film behaviour of long partial journal bearing. Comput Struct2002; 80: 297–303.
32.
ChristensenHTonderKC. The hydrodynamic lubrication of rough bearing surfaces of finite width. ASME-ASLE1970; Lubrication conference paper no. 70.
