Evaluation of Linear Stability of Porous Hydrodynamic Journal Bearings under Micropolar Lubrication Condition
Authors
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Department of Mechanical Engineering, Bipradas Pal Chowdhury Institute of Technology, Krishnanagar-741101 ,IN
Ujjal Baidya -
Department of Engineering and Technological Studies, Kalyani University, Kalyani-741235 ,INSanjoy Das
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Department of Mechanical Engineering, Kalyani Govt. Engineering College, Kalyani-741235 ,INSantanu Das
DOI:
https://doi.org/10.24906/isc/2023/v37/i1/222815Keywords:
Micropolar lubricant, critical mass parameter, whirl ratio, porous bearing.Abstract
This theoretical investigation has been performed to explore the dynamic performance characteristics of micropolar lubricated porous hydrodynamic journal bearing considering slip effect along tangential direction. The properties of finite porous hydrodynamic journal bearings and micropolar lubricant and the Beavers-Joseph slip model are combined to reestablish the modified Reynolds equation. Dynamic nature of the bearing can be obtained by implementation of the first order perturbation technique in bearing properties. This research work on micropolar lubricated porous hydrodynamic journal bearing in dynamic condition has produced superior linear stability as compared to lubrication using Newtonian fluid.Downloads
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References
J Prakash and S K Vijay, Analysis of narrow porous journal bearing using Beavers-Joseph criterion of velocity slip, J. Applied Mecha. ASME, Vol 41 No 2, page 348-354, 1974. DOI: 10.1115/1.3423291.
A K Chattopadhyay and B C Majumdar, Dynamic characteristics of finite porous journal bearings considering tangential velocity slip, J. Tribo. ASME, Vol 106, No 4, page 534-536, 1984. DOI: 10.1115/1.3260977.
V T Morgan and A Cameron, Mechanism of lubrication in porous metal bearings, Inst. Mech.Engrs. Proc. Conf. on Lub. & Wear, London, London: Inst. Mech. Eng, page 151-157, 1957. 4. C Cusano, Lubrication of porous journal bearings, J. Lub. Technol, Vol 94, No 1, page 69-73, 1972. DOI: 10.1115/1.3451638.
P R K Murti, Hydrodynamic lubrication of finite porous bearings, Wear, Vol 19, No 1, page 113-115, 1972. DOI: 10.1016/0043-1648(72)90447-4.
P R K Murti, Lubrication of finite porous journal bearings, Wear, Vol 26, No 1, page 95-104, 1973. DOI: 10.1016/0043-1648(73)90152-x.
C A Rhodes and W T Rouleau, Hydrodynamic lubrication of narrow porous metal bearings with sealed ends, Wear, Vol 8, page 474-485, 1965. DOI: 10.1016/0043-1648(65)90140-7.
S Ishizawa and E Hori, The flow of a viscous fluid through a porous wall into a narrow gap (a consideration of the slip of fluid on a porous wall surface), Bulletin JSME, Vol 9, No 36, page 719-730, 1966. DOI: 10.1299/jsme1958.9.719.
C C Shir and D D Joseph, Lubrication of a porous bearing- Reynolds solution, J. Applied Mecha. ASME, Vol 33, No 4, page 761-767, 1966. DOI: 10.1115/1.3625179.
G S Beavers and D D Joseph, Boundary conditions at a naturally permeable wall, J. Fluid Mech., Vol 30, No 1, page 197-207, 1967. DOI: 10.1017/S0022112067001375.
G S Beavers, E M Sparrow and R A Magnuson, Experiments on coupled parallel flows in a channel and a bounding porous medium, J. Basic Engineering Trans. ASME, Vol 92, No 4, page 843-848, 1970. DOI: 10.1115/1.3425155.
P R K Murti, Effect of slip flow in narrow porous bearings, J. Lubri. Tech. ASME, Vol 95, No 4, page 518-523, 1973. DOI: 10.1115/1.3451866.
A K Chattopadhyay and B C Majumdar, On the stability of a rigid rotor in a finite porous journal bearing with slip, J. Tribo. ASME, Vol 108, No. 2, page 190-194, 1986. DOI:10.1115/1.3261159.
S Kaneko, Static and dynamic characteristics of porous journal bearings with anisotropic permeability, JSME Inter. J. Series 3 Vibration Contro. Engg., Engg for Indutry, Vol 32, No 1, page 91-99, 1989. DOI: 10.1299/jsmec1988.32.91.
S Kaneko and Y Doi, Static and dynamic characteristics of porous journal bearings with non uniform permeability, JSME Inter. J. Series 3 Vibration, Contro. Engg., Engg for Indutry, Vol 32, No 2, page 294-302, 1989. DOI: 10.1299/jsmec1988.32.294.
S W van Buuren, H Hetzler, M Hinterkausen and W Seemann, Novel approach to solve the dynamical porous journal bearing problem, Tribo. Inter., Vol 46, No 1, page 30-40, 2012.
A C Eringen, Simple microfluids, Int. J. Eng. Sci., Vol 2, No 2, page 205-217, 1964. DOI: 10.1016/0020-7225(64)90005-9.
A C Eringen, Theory of micropolar fluids, J. Math. Mech., Vol 16, No 1, page1-18, 1966.
N B Naduvinamani and G B Marali, Dynamic Reynolds equation for micropolar fluids and the analysis of plane inclined slider bearings with squeezing effect, Proce. Insti. Mech. Engineers Part J: J. Engg. Tribo., Vol 221, No 7, page 823-829, 2007. DOI: 10.1243/13506501jet286.
J Prakash and P Sinha, Lubrication theory for micropolar fluids and its application to a journal bearing, Int. J. Engng. Sci., Vol 13, No 3, page 217-232, 1975. DOI: 10.1016/0020-7225(75)90031-2.
Z Q Gan and L Zhang-Ji, Lubrication theory for micropolar fluids and its application to a journal bearing with finite length, Appli. Mecha. & Math., Vol 8, No. 7, page 655-665, 1987. DOI: 10.1007/bf02458263.
K Zaheeruddin, The dynamic behaviour of squeeze films in one dimensional porous journal bearings lubricated by a micropolar fluid, Wear, Vol 71, No. 2, page 139 – 152, 1981.
T W Huang and C I Weng, Dynamic characteristics of finite-width journal bearings with micropolar fluids, Wear, Vol 141, No. 1, page 23-33, 1990. DOI: 10.1016/0043-1648(81)90334-3.
S Das, S K Guha and A K Chattapadhyay, Linear stability analysis of hydrodynamic journal bearings under micropolar lubrication, Tribol. Int., Vol 38, No 5, page 500-507, 2005. DOI: 10.1016/j.triboint.2004.08.023.
N B Naduvinamani and G B Marali, Dynamic Reynolds equation for micropolar fluid lubrication of porous slider bearings, J. Marine Sci. & Tech., Vol 16, No 3, page 182-190, 2008.
N B Naduvinamani and S Santosh, Micropolar fluid squeeze film lubrication of finite porous journal bearing, Tribo. Inter., Vol 44, No 4, page 409-416, 2011. DOI: 10.1016/j.triboint.2010.11.019.
S Das and S K Guha, Linear stability analysis of hydrodynamic journal bearings operating under turbulent micropolar lubrication, Inter. Conf. on Advances in Mechanical Industrial Automation and Management Systems (AMIAMS) IEEE, IA No. 17262413, Allahabad, India, 2017,
S Das and S K Guha, Turbulent effect on the dynamic response coefficients of finite journal bearings lubricated with micropolar fluid, Proc. Tech., Vol 23, page 193-200, 2016. DOI: 10.1016/j.protcy.2016.03.017.
U Baidya, S Das and S Das, Porous hydrodynamic journal bearing analysis using micropolar fluid in steady state condition, Tribology Online, Vol 14, No 2, page 24-31, 2019. DOI 10.2474/troll.14.24.
B Bhattacharjee, P Chakraborti and K. Choudhuri, Theoretical analysis of single-layered porous short journal bearing under the lubrication of micropolar fluid, J. the Brazilian Society of Mech. Sci. and Engg., Vol 41, No 365, page 365-374, 2019. DOI: 10.1007/s40430-019-1861-1.
B Bhattacharjee, P Chakraborti and K Choudhuri, Evaluation of the performance characteristics of double-layered porous micropolar fluid lubricated journal bearing, Tribo. Inter., Vol 138, page 415-423, 2019. DOI: 10.1016/j.triboint.2019.06.025.
S K Guha and A K Chattopadhyay, On the linear stability analysis of finite hydrodynamic porous journal bearings under coupled stress lubrication, Proc. Ins. Mech. Engrs. Part: J. Engg. Tribo., Vol 221, page 831-840, Nov. 2007. DOI: 10.1243/13506501JET230.
