Theoretical analysis of effect of MHD, couple stress and slip velocity on squeeze film lubrication of rough Triangular plates

被引：0
作者：
R, Vinutha [1 ]
N, Hanumagowda B. [2 ]
R, Vasanth K. [3 ]
K, Ganesh Kumar [3 ]
机构：
[1] Department of Mathematics, REVA Independent PU College, Karnataka, Bangalore
[2] Department of Mathematics, School of Applied Sciences, REVA University, Bangalore
[3] Department of Mathematics, Nitte (Deemed to be University) NMAM Institute of Technology, Udupi Dist., Karnataka, Nitte
来源：
International Journal of Thermofluids | 2024年 / 24卷
关键词：
Couple stress; Longitudinal roughness; MHD; Slip velocity; Squeezing film; Surface roughness; Transverse roughness; Triangular plates;
D O I：
10.1016/j.ijft.2024.100882
中图分类号：
学科分类号：
摘要：
In this study, Christensen's stochastic theory is utilized on rough surfaces' hydrodynamic lubricating effect to examine how surface roughness, couple stress fluid, slip velocity, magnetohydrodynamic (MHD), and the triangular surface interact. Modified Reynolds equation is derived analytically using combining theories of Stokes couple stresses, Lorentz forces, and Christensen's stochastic hypothesis about hydrodynamic lubrication. Pressure, load carrying capacity and squeeze film time expression is derived mathematically using Reynolds equation that accounts for surface roughness and coupling stress. For various parameters including rough parameter, slip velocity, Hartmann number, and couple stress, the lubricating characteristics are analysed graphically. Squeeze film time, load carrying capacity, and pressure are enhanced by an increase in slip velocity, couplestress and magnetic field. The lubrication characteristics decreases (increases) on squeeze film pressure, load carrying capacity and squeeze film time through increasing values of the longitudinal (transverse) roughness parameter. © 2024 The Authors
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  • [1] Ting L.L., Engagement behavior of lubricated porous annular disks part 1: squeeze film phase – surface roughness and elastic deformation effects, Wear., 34, pp. 159-163, (1975)
  • [2] Gupta J.L., Bhat M.V., An inclined porous slider bearing with a transverse magnetic field, Wear., 55, 2, (1979)
  • [3] Oliver D.R., Load enhancement effects due to polymer thickening in a short model journal bearing, J. Nonnewton. Fluid. Mech., 30, 2-3, pp. 185-196, (1988)
  • [4] Prajapati B.L., Squeeze film behaviour between rotating porous circular plates with a concentric circular pocket: surface roughness and elastic deformation effects, Wear., 152, 2, pp. 301-307, (1992)
  • [5] Andharia P.I., Gupta J.L., Deheri G.M., Effect of transverse surface roughness on the behavior of squeeze film in a spherical bearing, Internat. J. Appl. Mech. Eng., 4, pp. 19-24, (1999)
  • [6] Andharia P.I., Deheri G.M., Gupta J.L., Effect of longitudinal surface roughness on the behavior of squeeze film in a spherical bearing, Internat. J. Appl. Mech. Eng, 6, 4, pp. 885-897, (2001)
  • [7] Lin J.-R., Lu R.-F., Dynamic characteristics for magneto-hydrodynamic wide slider bearings with an exponential film profile, J. Mar. Sci. Technol., 1, 8, (2010)
  • [8] Ismail S., Sarangi M., Effects of texture shape and fluid–solid interfacial slip on the hydrodynamic lubrication performance of parallel sliding contacts, J. Eng. Tribol., 228, 4, pp. 382-396, (2014)
  • [9] Hanumagowda B.N., Raju B.T., Santhosh Kumar J., Vasanth K.R., Effect of pressure dependent viscosity on couple stress squeeze film lubrication between porous circular stepped plates, National Conference on Mathematical Techniques and its Applications (NCMTA 18), 1000, pp. 5-6, (2018)
  • [10] Hanumagowda B., Raju B., Santhosh Kumar J., Vasanth K.R., Combined effect of surface roughness and pressure-dependent viscosity over couple-stress squeeze film lubrication between circular stepped plates”. Proceedings of the institution of mechanical engineers, Part J: J. Eng. Tribol., 232, 5, pp. 525-534, (2018)
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