Abstract
This study discusses the effect of longitudinal roughness on the performance of a hydromagnetic squeeze film in conducting triangular plates. A stochastic random variable characterizes the longitudinal roughness of the bearing surface. The associated Reynolds’ equation is recourse to the stochastically averaging method of Christensen–Tonder, solving the Reynolds’ equation with Reynolds’ boundary conditions; the pressure is obtained which gives load profile as well. Unlike the transverse roughness case, here, it is found that the load bearing capacity increases due to the standard deviation related to roughness. This situation further improves with the involvement of negatively skewed roughness and variance (−ve). The effect of magnetization and conductivity elevates the situation further.
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- a :
-
Length of the sides
- h :
-
Film thickness
- \(\dot{h}\) :
-
Squeeze film velocity
- μ :
-
Viscosity
- B 0 :
-
Standardized transverse magnetic field incorporated between the plates
- s :
-
Electrical conductivity of the lubricant
- M :
-
\(B_{0} h\left( {\frac{s}{\mu }} \right)^{{\frac{1}{2}}}\) = Hartmann number
- p :
-
Lubricant pressure
- w :
-
Load carrying capacity
- σ*:
-
Non-dimensional standard deviation (σ/h)
- α*:
-
Non-dimensional variance (α/h)
- ε*:
-
Non-dimensional skewness (ε/h3)
- P :
-
Dimensionless pressure
- W :
-
Dimensionless load bearing capacity.
References
Adeshara, J.V., Prajapati, M.B., Deheri, G.M., Patel, R.M.: A study of hydromagnetic longitudinal rough circular step bearing. Adv. Tribol., 7. Article ID 3981087 (2018)
Andharia, P.I., Deheri, G.M.: Effect of longitudinal surface roughness on the behaviour of squeeze film in a spherical bearing. Int. J. Appl. Mech. Eng. 6(4), 885–897 (2001)
Andharia, P.I., Deheri, G.M.: Longitudinal roughness effect on magnetic fluid based squeeze film between conical plates. Ind. Lubr. Tribol. 62(5), 285–291 (2010)
Andharia, P.I., Deheri, G.M.: Performance of magnetic fluid based squeeze film between longitudinally rough elliptical plates. ISRN Tribol., 6. Article ID482604 (2013)
Andharia, P.I., Gupta, J.L., Deheri, G.M.: Effect of longitudinal surface roughness on hydrodynamic lubrication of slider bearings. In: Proceedings of the 10th International Conference on Surface Modification Technologies, pp. 872–880. The Institute of Materials, London (1997)
Andharia, P.I., Gupta, J.L., Deheri, G.M.: Effect of transverse surface roughness on the behavior of squeeze film in a spherical bearings. J. Appl. Mech. Eng. 4, 19–24 (1999)
Christensen, H., Tonder, K.C.: The hydrodynamic lubrication of rough bearing surface of finite width. In: ASME-ASLE Lubrication Conference, Paper No. 70–Lub-7 (1970)
Christensen, H., Tonder, K.C.: Tribology of rough surfaces: parametric study and comparison of lubrication models. SINTEF Report, no. 22/69–18 (1969)
Christensen, H., Tonder, K.C.: Tribology of rough surfaces: stochastic models of hydrodynamic lubrication. SINTEF Report, no. 10/69–18 (1969)
Elco, R.A., Huges, W.F.: Magnetohydrodynamic pressurization in liquid metal lubrication. Wear 5, 198–207 (1962)
Kuzma, D.C.: Magnetohydrodynamic squeeze films. J. Basic Eng. Trans. ASME 86, 441–444 (1964)
Lin, J.R.: Longitudinal surface roughness effects in magnetic fluid lubricated journal bearing. J. Mar. Sci. Technol. 24(4), 711–716 (2016)
Patel, H.P., Deheri, G.M., Patel, R.M.: Combined effect of magnetism and roughness on a ferrofluid squeeze film in porous truncated conical plates: Effect of variable boundary conditions. Italian J. Pure Appil. Math. 39, 107–119 (2018)
Patel, K.C., Gupta, J.L.: Behavior of hydromagnetic squeeze film between porous plates. Wear 56, 327–339 (1979)
Prajapari, B.L.: Behavior of squeeze film rotating porous circular plates: surface roughness and elastic deformation effects. Pure Appl. Math. Sci. 33(1–2), 27–36 (1991)
Prajapati, B.L.: On certain theoretical studies in hydrodynamic and electromagnetohydrodynamic lubrication. Ph.D. thesis. S.P. University, Vallabh Vidyanagar, Gujarat, India (1995)
Prajapati, B.L.: Squeeze film behavior between rotating porous circular plates with a concentric circular pocket: surface roughness and elastic deformation effects. Wear 152(2), 301–307 (1992)
Prakash, J., Vij, S.K.: Load capacity and time height relations for squeeze film between porous plates. Wear 24, 309–322 (1973)
Shimpi, M.E., Deheri, G.M.: Combined effect of bearing deformation and longitudinal roughness on the performance of a ferrofluid based squeeze film together with velocity slip in truncated conical plates. Imperial J. Interdiscip. Res. 2(6), 1423–1430 (2016)
Shukla, J.B.: Hydromagnetic theory of squeeze films. Trans. ASME 87, 142–147 (1965)
Vadher, P., Daheri, G.M., Patel, R.M.: Hydrpmagnetic squeeze film Between conducting porous transversely rough triangular plates. J. Eng. Ann. Fac. Eng. Hunedora 6(1), 155–168 (2008)
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Patel, H.P., Deheri, G.M., Patel, R.M. (2020). Performance of a Hydromagnetic Squeeze Film Between Longitudinally Rough Conducting Triangular Plates. In: Das, K., Bansal, J., Deep, K., Nagar, A., Pathipooranam, P., Naidu, R. (eds) Soft Computing for Problem Solving. Advances in Intelligent Systems and Computing, vol 1057. Springer, Singapore. https://doi.org/10.1007/978-981-15-0184-5_11
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