In this paper, the analysis of squeeze film characteristics of conical bearings with combined effects of piezo-viscous dependency and couple stress fluid is presented. On the basis of the Stokes microcontinuum theory of couple stress fluid model and Barus experimental research, a modified Reynolds equation is derived, the standard perturbation technique is used to solve the highly non-linear Reynolds equation and approximate analytical solution is obtained for the squeeze film pressure, load carrying capacity and squeeze film time. According to the results obtained, the effect of viscosity pressure dependency on the squeeze film lubrication of conical bearings with couple stress fluids is to improve the load carrying capacity significantly and lengthen the squeeze film time as compared to iso-viscous Newtonian case.
RamanaiahG.: ‘Squeeze films between finite plates lubricated by fluids with couple stress’, Wear, 1979, 54, 315–320.10.1016/0043-1648(79)90123-6
8.
BujurkeN.M. and JayaramanG.: ‘The influence of couple stresses in squeeze films’, Int. J. Mech. Sci., 1982, 24, (6), 369–376.10.1016/0020-7403(82)90070-4
9.
LinJ. R.: ‘Squeeze film characteristics between a sphere and a flat plate: couple stress fluid model’, Comput. Struct., 2000, 75, 73–80.10.1016/S0045-7949(99)00080-2
10.
MiroslavH.: ‘Squeeze film lubrication of the human ankle joint subjected to the cyclic loading encountered in walking’, ASME J. Tribol., 2005, 127, 141–148.
11.
NaduvinamaniN. B. and SiddangoudaA.: ‘A squeeze film lubrication between circular stepped plates of couple stress fluids’, JBSME, 2009, 31, 21–26.
12.
ChuL. M., LinJ. R., LiW. L., and ChangY. P.: ‘Pure squeeze motion in a magneto elastohydrodynamic lubricated spherical conjunction’, ASME J. Tribol., 2010, 132:044501–1–6.
13.
BiradarK.: ‘Squeeze film lubrication between parallel stepped plates with couple stress fluids’, Int. J. Stat. Math., 2012, 3, (2), 65–69.
14.
FathimaS. T., NaduvinamaniN. B., ShivakumarH. M., and HanumagowdaB. N.: ‘A study on the performance of hydromagnetic squeeze film between anisotropic porous rectangular plates with couplestress fluids’, Tribol. Online, 2014, 9, (1), 1–9.10.2474/trol.9.1
15.
DaliriM., Jalali-VahidD., and RahnejatH.. ‘Squeeze film lubrication of coupled stress electrically conducting inertial fluids in wide parallel rectangular conjunctions subjected to a magnetic field’, Proc. Inst. Mech. Eng. Part J.: J. Eng. Tribol., 2014, 228, (3), 288–302.
16.
DaliriM., Jalali-VahidD., and RahnejatH.: ‘Magneto-hydrodynamics of couple stress lubricants in combined squeeze and shear in parallel annular disc viscous coupling systems’, Proc. Inst. Mech. Eng. Part J.: J. Eng. Tribol., 2015;229, (5), 578–596.
17.
BarusC.: ‘Isothermals, isopiestics and isometrics relative to viscosity’, Am. J. Sci., 1893, s3-45, 87–96.10.2475/ajs.s3-45.266.87
18.
BartzW. J. and EtherJ.: ‘Influence of pressure viscosity oils on pressure, temperature and film thickness in elatohydrodynamically lubricated rolling contacts’, Proc. Inst. Mech. Eng. Part C: Mech. Eng. Sci., 2008, 222, 1271–1280.
19.
LinJ. R., ChuL. M., LiW. L. and LuR. F.: ‘Combined effects of piezo- viscous dependency and non-Newtonian couple stresses in wide parallel plates’, Tribol. Int., 2011, 44, 1998–1602.
20.
LinJ. R., ChuL. M., and LiangL. J.: ‘Effects of viscosity dependency on the non-Newtonian squeeze film of parallel circular plates’, Lubr. Sci., 2012, 25, 1–9.
21.
Jayachandra RedyyG., Eswar ReddyC., and RamakrishnaP. K.: ‘Effect of viscocity variation on the squeeze film performance of a narrow hydrodynamic journal bearings operating with couple stress fluid’, J. Eng. Tribol., 2008, 222, 141–150.
22.
NaduvinamaniN. B., SiddangoudaA., and HiremathA. G.: ‘Effect of surface roughness and viscosity-pressure dependency on the couple stress squeeze film characteristics of parallel circular plates’, Adv. Tribol., 2014, 2014, 1–7.10.1155/2014/387413
23.
SharmaS. C. and RajputA. K.: ‘Influence of micropolar lubrication on the performance of 4-pocket capillary compensated conical hybrid journal bearing’, Adv. Tribol., 2012, 2012, 1–18.10.1155/2012/898252
24.
RajputA. K. and SharmaS. C.: ‘Analysis of externally pressurized multirecess conical hybrid journal bearing system using micropolar lubricant’, Proc. Inst. Mech. Eng. Part J.: J. Eng. Tribol., 2013, 227, (9), 943–961.
25.
ElsharkawyA. A.: ‘Lubricant additives effects on the hydrodynamic lubrication of misaligned conical-cylindrical bearings’, Lubr. Sci., 2007, 19, (4), 213–229.10.1002/(ISSN)1557-6833
26.
RamanaiahG.: ‘Slider bearings lubricated by fluids with couple stress’, Wear, 1979;52, 27–36.10.1016/0043-1648(79)90193-5
27.
GuptaR. S. and SharmaL. G.: ‘Analysis of couple stress lubricant in hydrostatic thrust bearing’, Wear, 1988, 125, 257–269.10.1016/0043-1648(88)90117-2
28.
LinJ. R.: ‘Squeeze film characteristics of long partial journal bearings lubricated with couple stress fluids’, Tribol. Int., 1997, 30, 53–58.10.1016/0301-679X(96)00022-9
29.
SinhaC. and SinghC.: ‘Couple stresses in the lubrication of rolling contact bearings considering cavitation’, Wear, 1981, 67, 85–98.10.1016/0043-1648(81)90077-6
