A Comparative Study on the Ferrofluid Flow Models with Regards to the Behavior of A Ferrofluid Based Curved Rough Porous Circular Squeeze Film with Slip Velocity

Jimit R Patel1, G M Deheri2

Abstract


This investigation plans to introduce a correlation among all the three magnetic fluid flow models (Neuringer-Rosensweig’s model, Shliomis’s model, Jenkins’s model) with regards to the conduct of a ferrofluid based curved rough porous circular squeeze film with slip velocity. The Beavers and Joseph's slip velocity has been invoked to assess the impact of slip velocity. Further, the stochastic model of Christensen and Tonder has been utilized to contemplate the impact of surface roughness. The load bearing capacity of the bearing system is found from the pressure distribution which is derived from the related stochastically averaged Reynolds type equation. The graphical portrayals guarantee that Shliomis model might be favoured for preparation of the bearing system with improved life period. However, for lower to moderate values of slip Neuringer-Rosensweig model might be considered. Morever, when the slip is at least the Jenkin's model might be deployed when the roughness is at reduced level.

Keywords


Circular Bearing, Ferro Fluid, Roughness, Flow models, Load CArrying Capacity

Full Text:

PDF

References


J. Prakash, S.K. Vij, Hydrodynamic lubrication of porous slider, J. Mech. Engg. Sci. 15(1973), 232-234.

M.V. Bhat, Hydrodynamic lubrication of porous composite slider bearings, JPN Jour. of Applied Phys., 17(3) (1978), 479-481.

M.V. Bhat, G.M. Deheri, Porous slider bearing with squeeze film formed by a magnetic fluid, Pure and Applied mathematika sciences 39 (1-2) (1995) 39-43.

G.M. Deheri, P.I. Andharia, R.M. Patel, Transversely rough slider bearings with squeeze film formed by a magnetic fluid, Int. J. of Applied Mechanics and Engineering, 10(1)( 2005) 53-76.

G.M. Deheri, J.R. Patel, Magnetic Fluid Based Squeeze Film in a Rough Porous Parallel Plate Slider Bearing, Annals of Faculty Engineering Hunedoara – International Journal of Engineering IX (3) (2011) 443-448.

R.C. Shah, M.V. Bhat, Squeeze film based on magnetic fluid in curved porous rotating circular plates, Journal of Magnetism and Magnetic Materials, 208(1) (2000) 115–119.

R.C. Shah and M.V. Bhat, Magnetic fluid based porous inclined slider bearing with velocity slip, Int. J. of Applied Mechanics and Engineering 18(2) (2003) 331–336.

G.S. Nada and T.A. Osman, Static performance of finite hydrodynamic journal bearings lubricated by magnetic fluids with couple stresses, Tribology Letters 27(3) (2007) 261– 268.

G.M. Deheri, N.D. Abhangi, Numerical modelling of a magnetic fluid-based squeeze film between rotating transversely rough curved circular plates, International Journal of Computational Materials Science and Surface Engineering 4(3) (2011)185–204.

N.S. Patel, D.P. Vakharia, G.M. Deheri, A study on the performance of a magnetic-fluid-based hydrodynamic short journal bearing, ISRN Mechanical Engineering, 2012 (2012), Article ID 603460.

N.S. Patel, D.P. Vakharia, G.M. Deheri, H. C. Patel, Experimental performance analysis of ferrofluid based hydrodynamicjournal bearing with different combination of materials, Wear, Vol. 376-377, 2017, pp. 1877-1884.

J.T. Jenkins, A theory of magnetic fluids, Archive for Rational Mechanics and Analysis 46(1972) 42–60.

J.L. Neuringer, R.E. Rosensweig, Magnetic Fluids, Magnetic Fluid, Physics of Fluids 7(12) (1964)1927.

V.K. Agrawal, Magnetic-fluid-based porous inclined slider bearing, Wear 107(2) (1986) 133–139.

P. Ram, P.D.S. Verma, Ferrofluid lubrication in porous inclined slider bearing, Indian Journal of Pure and Applied Mathematics 30(12) (1999)1273–1281.

R.C. Shah, M.V. Bhat, Ferrofluid lubrication in porous inclined slider bearing with velocity slip, International Journal of Mechanical Sciences 44(12) (2002) 2495–2502.

N. Ahmad, J.P. Singh, Magnetic fluid lubrication of porous pivoted slider bearing with slip velocity, Proceedings of the Institution of Mechanical Engineers Part J: Journal of Engineering Tribology 221(5)( 2007) 609–613.

J.R. Patel, G. Deheri, Combined Effect of Surface Roughness and Slip Velocity on Jenkins Model Based Magnetic Squeeze Film in Curved Rough Circular Plates, International Journal of Computational Mathematics 2014 (2014) Article ID 367618.

J.R. Patel, G.M. Deheri, Jenkins model based ferrofluid lubrication of a curved rough annular squeeze film with slip velocity, Tribology in Industry 37(2) (2015) 129-141.

L.L. Ting, A Mathematical analog for determination of porous annular disk squeeze film behavior including the fluid inertia effect, J. Basic Engg.Trans.ASME, 94(1972) 417-421.

J. Prakash, K. Tiwari, Roughness effects in porous circular squeeze-plates with arbitrary wall thickness, J. Lubr. Tech. 105(1) (1983) 90–95.

S.K. Guha, Analysis of dynamic characteristics of hydrodynamic journal bearings with isotropic roughness effects, Wear 167 (2) (1993) 173–179.

Ram, Turaga, A.S. Sekhar, B.C. Majumdar, Stochastic FEM analysis of finite hydrodynamic bearings with rough surfaces, Tribology Transactions, 40 (4)( 1997) 605-612.

K. Gururajan, J. Prakash, Effect of surface roughness in a narrow porous journal bearing, J. Tribology 122(2) (2000) 472-475.

E.S. Gadelmawla, M.M. Koura, T.M.A. Maksoud, I.M. Elewa, H.H. Sollman, Roughness parameters, Journal of materials processing Technology, 123 (1) (2002) 133-145.

P. Sinha, G. Adamu, THD analysis for slider bearing with roughness: special reference to load generation in parallel sliders, Acta Mech., 207 (2009), 11-27.

G. Adamu, P. Sinha, Thermal and Roughness Effects in a Tilted Pad Slider Bearing Considering Heat Conduction Through the Pad and Slider, Proceedings of the National Academy of Sciences, India Section A: Physical Sciences, 82(4) (2012) 323‐333.

H. Christensen, K.C. Tonder, Tribology of rough surfaces: stochastic models of hydrodynamic lubrication, SINTEF, 1969a , Report No.10/69-18.

H. Christensen, K.C. Tonder, Tribology of rough surfaces: parametric study and comparison of lubrication models, SINTEF, 1969b, Report No.22/69-18.

H. Christensen, K.C. Tonder, The hydrodynamic lubrication of rough bearing surfaces of finite width, ASME-ASLE Lubrication Conference, 1970, Paper no.70-lub-7.

M.I. Shliomis, Effective viscosity of magnetic suspensions, Sov. Physics JETP 34(6) (1972) 1291–1294.

D. Kumar, P. Sinha, P. Chandra, Ferrofluid squeeze film for spherical and comical bearings’, Int. J. Engg. Sci. 30(5) (1992) 645–656.

U.P. Singh, R.S. Gupta, Dynamic performance characteristics of a curved slider bearing operating with ferrofluid, Advances in Tribology 2012 (2012), Article Id 278723.

J.R. Lin, Fluid inertia effects in ferrofluid squeeze film between a sphere and a plate, Applied Mathematical Modeling 37(7) (2013) 5528–5535.

J.R. Patel, G. Deheri, Shliomis model-based magnetic squeeze film in rotating rough curved circular plates: a comparison of two different porous structures, Int. J. of Computational Materials Sci. and Sur. Eng. 6(1) (2014) 29–49.

Hsiang-Chin Jao, Kuo-Ming Chang, Li-Ming Chu, Wang-Long Li, A Modified Average Reynolds Equation for Rough Bearings With Anisotropic Slip, Journal of Tribology, Vol. 138 , No. 1, pp. 011702-1-14, 2016.

J. R. Patel and G. M. Deheri, Performance of a Ferrofluid Based Rough Parallel Plate Slider Bearing: A Comparison of Three Magnetic Fluid Flow Models, Advances in Tribology, Volume 2016, Article ID 8197160, 2016.

M.V. Bhat, Lubrication with a Magnetic fluid, Team Spirit (India) Pvt. Ltd, 2003.

J. R. Patel and G. M. Deheri, Numerical modeling of Jenkins model based ferrofluid lubrication squeeze film performance in rough curved annular plates under the presence of slip velocity, FactaUniversitatis, Ser. Math. Inform. Vol. 31, No 1 (2016), 11–31.

B.L. Prajapati, On Certain Theoretical Studies in Hydrodynamic and Electro-magneto hydrodynamic Lubrication, Ph.D. Thesis,S.P. University, VallabhVidya- Nagar, 1995.




DOI: http://dx.doi.org/10.24294/ijmss.v1i4.898

Refbacks

  • There are currently no refbacks.


Creative Commons License
This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.

Creative Commons License

This site is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.