Magnetic Fluid Based Squeeze Film in Rough Rotating Curved Porous Annular Plates: Deformation Effect
This article aims to investigate the performance of a magnetic fluid based squeeze film between rotating transversely rough curved porous annular plates incorporating the effect of elastic deformation. The associated stochastically averaged Reynolds type equation is solved to obtain the pressure distribution leading to the calculation of the load carrying capacity. The results suggest that the transverse roughness of the bearing surfaces affects the performance adversely although the bearing systems register a relatively improved performance due to the magnetization. The deformation causes reduced the load carrying capacity while the curvature parameters tend to nominally increase the load carrying capacity. Besides, the adverse effect of porosity, deformation and standard deviation can be minimized to some extent by the positive effect of the magnetization and the curvature parameters in the case of negatively skewed roughness by suitably choosing the rotational inertia and the aspect ratio, which becomes significant when negative variance occurs.
[1] F. R. Archibald, "Load Capacity and Time Relations for Squeeze Films", Trans. ASME, vol. 78, pp. A 231-245, 1956.
[2] H. Wu, "Squeeze film behaviour for porous annular disks", J. of Lub. Tech., vol. 92, 1970, pp. 206-209.
[3] H. Wu, "An analysis of the squeeze film behavior for porous annular disks", J. of Lub. Tech., vol. 92, pp. 593-596, 1972.
[4] L. L. Ting, "A Mathematical analog for deformation of porous annular discs squeeze film behaviour including the fluid inertia effect', J. of Basic Eng., vol. 94(2), pp. 417-421, 1972.
[5] J. Prakash and S. K. Vij, "Load Capacity and Time Height Relation between Porous Plates", Wear, vol. 24, pp. 309-322, 1973.
[6] D. F. Hays, "Squeeze films for rectangular plates", Trans. ASME, vol. D. 58, pp.243-251, 1963.
[7] P. R. K. Murti, "Squeeze Films in curved Circular plates", Trans. ASME, vol. F97, pp. 650-652, 1975.
[8] J. L. Gupta and K. H. Vora, "Analysis of squeeze film between curved annular plates", J. of Lub. Tech. Trans. ASME, vol. 102, pp. 48-59,1980.
[9] M. B. Ajwaliya, "On certain theoretical aspects of lubrication", Dissertation, 1984, Sardar Patel University, Vallabh Vidyanagar.
[10] R. M. Patel and G. M. Deheri, "Analysis of the squeeze film between curved plates", J. of Indian acad. of Math., vol. 24(2), pp.333-338, 2002.
[11] P. D. S. Verma, "Magnetic Fluid-Based Squeeze Film", Int. J. of Eng. Sci., vol. 24(3), pp. 305-401, 1986.
[12] M. V. Bhat and G. M. Deheri, “Squeeze Film Behavior in Porous
Annular Disks Lubricated with Magnetic fluid”, Wear, vol. 151, pp.123-
128, 1991.
[13] M. V. Bhat, Lubrication with a magnetic fluid, Team Spirit (India) Pvt.
Ltd., 2003, ch 4.
[14] M. V. Bhat and G. M. Deheri, “Magnetic Fluid-Based Squeeze Film in
Curved porous Circular disks”, J. of Mag. and Magn. Materials, vol.
127, pp. 159-62, 1993.
[15] R. M. Patel and G. M. Deheri, “Magnetic Fluid-Based Squeeze Film
between two curved plates lying along the surfaces determined by secant
functions”, Indian J. of Eng. and Material Sci., vol. 9, pp. 45-48, 2002.
[16] J. R. Lin, R. F. Lu and W. H. Liao, “Analysis of magneto-hydrodynamic
squeeze film characteristics between curved annular plates”, Indu. Lub.
and Tribo., vol. 56(50), pp. 300-305, 2004.
[17] S. T. Tzeng and E. Saibel, “Surface roughness effect on slider bearing
lubrication”, Trans. ASLE 10, pp. 334-342, 1967.
[18] H. Christensen and K. C. Tonder, “Tribology of rough surfaces:
stochastic models of hydrodynamic lubrication”, SINTEF Report
No.10/69-18, 1969a.
[19] H. Christensen and K. C. Tonder, “Tribology of rough surfaces:
parametric study and comparison of lubrication models”, SINTEF
Report No.22/69-18, 1969b.
[20] H. Christensen and K. C. Tonder, “The hydrodynamic lubrication of
rough bearing surfaces of finite width”, ASME-ASLE lubrication
conference, Paper no.70-lub-7, 1970.
[21] L. L. Ting, “Engagement behaviour of lubricated porous annular disks”,
Wear, vol. 34, pp. 159-182, 1975.
[22] J. Prakash and K. Tiwari, “Roughness effects in porous circular squeezeplates
with arbitrary wall thickness”, J. of Lub. Tech., vol. 105, pp. 90-
95, 1983.
[23] B. L. Prajapati, “Behaviour of squeeze film between rotating porous
circular plates: surface roughness and elastic deformation effects”. Pure
and Applied Math. Sci., vol. 33(1-2), pp. 27-36, 1991.
[24] S. K. Guha, “Analysis of dynamic characteristics of hydrodynamic
journal bearings with isotropic roughness effects”, Wear, vol. 167,
pp.173-79, 1993.
[25] J. L. Gupta and G. M. Deheri, “Effect of roughness on the behaviour of
Squeeze film in a spherical bearing”, Trib. Tran., vol. 39, pp 99-102,
1996.
[26] P. I. Andharia, J. L. Gupta and G. M. Deheri, “Effects of transverse
roughness on the behavior of squeeze film in spherical bearings”, Int. J.
of Applied Mechanics and Eng., vol. 4(1), pp. 19-24, 1999.
[27] P. I. Andharia, J. L. Gupta and G. M. Deheri, “Effects of surface
roughness and hydrodynamic lubrications of slider bearings”, Tribo.
Tran., vol. 44(2), pp. 291-297, 2001.
[28] J. Prakash and H. Peeken, “The combined effect of surface roughness
and elastic deformation in the hydrodynamic slider bearing problem”,
Tribo. Tran., vol. 28(1), pp. 69-74, 1985.
[29] C. H. Hsu, R. F. Lu and J. R. Lin, “Combined effects of surface
roughness and rotating inertia on the squeeze film characteristics of
parallel circular disks”, J. of Marine Sci. and Tech., vol. 7(1), pp. 60-66,
2009.
[30] H. C. Patel, G. M. Deheri and R. M. Patel, “Behavior of Squeeze film
between rough porous infinitely long parallel plates with porous Matrix
of variable film thickness”, Technische Akademie Esslingen, 16th
International Colloquium Tribology on Lubrications, Materials and Lub.
Engg. C-6, Stuttgart/Ostildern, Germany, 2008.
[31] G. M. Deheri, R. M. Patel and N. D. Abhangi, “Magnetic Fluid Based
Squeeze Film Behavior between Transversely Rough Curved Plates”,
Proceeding of CIST 2008 and ITS-IFToMM2008, Advanced Tribo. , Part
3(I), pp.54-55, 2010.
[32] R. M. Patel, G. M. Deheri and P. A. Vadher, “Magnetic Fluid-Based
Squeeze Film between annular plates and transverse surface roughness
effect”, ANNALS, Faculty Eng., Hunedoara, vol. 8 (1), pp. 51-56, 2010.
[33] G. M. Deheri, R. M. Patel and N. D. Abhangi, “Magnetic fluid-based
squeeze film behavior between transversely rough curved annular plates:
a comparative study”, Indu. Lub. and Tribo., vol. 63(4), pp.254-270,
2011.
[1] F. R. Archibald, "Load Capacity and Time Relations for Squeeze Films", Trans. ASME, vol. 78, pp. A 231-245, 1956.
[2] H. Wu, "Squeeze film behaviour for porous annular disks", J. of Lub. Tech., vol. 92, 1970, pp. 206-209.
[3] H. Wu, "An analysis of the squeeze film behavior for porous annular disks", J. of Lub. Tech., vol. 92, pp. 593-596, 1972.
[4] L. L. Ting, "A Mathematical analog for deformation of porous annular discs squeeze film behaviour including the fluid inertia effect', J. of Basic Eng., vol. 94(2), pp. 417-421, 1972.
[5] J. Prakash and S. K. Vij, "Load Capacity and Time Height Relation between Porous Plates", Wear, vol. 24, pp. 309-322, 1973.
[6] D. F. Hays, "Squeeze films for rectangular plates", Trans. ASME, vol. D. 58, pp.243-251, 1963.
[7] P. R. K. Murti, "Squeeze Films in curved Circular plates", Trans. ASME, vol. F97, pp. 650-652, 1975.
[8] J. L. Gupta and K. H. Vora, "Analysis of squeeze film between curved annular plates", J. of Lub. Tech. Trans. ASME, vol. 102, pp. 48-59,1980.
[9] M. B. Ajwaliya, "On certain theoretical aspects of lubrication", Dissertation, 1984, Sardar Patel University, Vallabh Vidyanagar.
[10] R. M. Patel and G. M. Deheri, "Analysis of the squeeze film between curved plates", J. of Indian acad. of Math., vol. 24(2), pp.333-338, 2002.
[11] P. D. S. Verma, "Magnetic Fluid-Based Squeeze Film", Int. J. of Eng. Sci., vol. 24(3), pp. 305-401, 1986.
[12] M. V. Bhat and G. M. Deheri, “Squeeze Film Behavior in Porous
Annular Disks Lubricated with Magnetic fluid”, Wear, vol. 151, pp.123-
128, 1991.
[13] M. V. Bhat, Lubrication with a magnetic fluid, Team Spirit (India) Pvt.
Ltd., 2003, ch 4.
[14] M. V. Bhat and G. M. Deheri, “Magnetic Fluid-Based Squeeze Film in
Curved porous Circular disks”, J. of Mag. and Magn. Materials, vol.
127, pp. 159-62, 1993.
[15] R. M. Patel and G. M. Deheri, “Magnetic Fluid-Based Squeeze Film
between two curved plates lying along the surfaces determined by secant
functions”, Indian J. of Eng. and Material Sci., vol. 9, pp. 45-48, 2002.
[16] J. R. Lin, R. F. Lu and W. H. Liao, “Analysis of magneto-hydrodynamic
squeeze film characteristics between curved annular plates”, Indu. Lub.
and Tribo., vol. 56(50), pp. 300-305, 2004.
[17] S. T. Tzeng and E. Saibel, “Surface roughness effect on slider bearing
lubrication”, Trans. ASLE 10, pp. 334-342, 1967.
[18] H. Christensen and K. C. Tonder, “Tribology of rough surfaces:
stochastic models of hydrodynamic lubrication”, SINTEF Report
No.10/69-18, 1969a.
[19] H. Christensen and K. C. Tonder, “Tribology of rough surfaces:
parametric study and comparison of lubrication models”, SINTEF
Report No.22/69-18, 1969b.
[20] H. Christensen and K. C. Tonder, “The hydrodynamic lubrication of
rough bearing surfaces of finite width”, ASME-ASLE lubrication
conference, Paper no.70-lub-7, 1970.
[21] L. L. Ting, “Engagement behaviour of lubricated porous annular disks”,
Wear, vol. 34, pp. 159-182, 1975.
[22] J. Prakash and K. Tiwari, “Roughness effects in porous circular squeezeplates
with arbitrary wall thickness”, J. of Lub. Tech., vol. 105, pp. 90-
95, 1983.
[23] B. L. Prajapati, “Behaviour of squeeze film between rotating porous
circular plates: surface roughness and elastic deformation effects”. Pure
and Applied Math. Sci., vol. 33(1-2), pp. 27-36, 1991.
[24] S. K. Guha, “Analysis of dynamic characteristics of hydrodynamic
journal bearings with isotropic roughness effects”, Wear, vol. 167,
pp.173-79, 1993.
[25] J. L. Gupta and G. M. Deheri, “Effect of roughness on the behaviour of
Squeeze film in a spherical bearing”, Trib. Tran., vol. 39, pp 99-102,
1996.
[26] P. I. Andharia, J. L. Gupta and G. M. Deheri, “Effects of transverse
roughness on the behavior of squeeze film in spherical bearings”, Int. J.
of Applied Mechanics and Eng., vol. 4(1), pp. 19-24, 1999.
[27] P. I. Andharia, J. L. Gupta and G. M. Deheri, “Effects of surface
roughness and hydrodynamic lubrications of slider bearings”, Tribo.
Tran., vol. 44(2), pp. 291-297, 2001.
[28] J. Prakash and H. Peeken, “The combined effect of surface roughness
and elastic deformation in the hydrodynamic slider bearing problem”,
Tribo. Tran., vol. 28(1), pp. 69-74, 1985.
[29] C. H. Hsu, R. F. Lu and J. R. Lin, “Combined effects of surface
roughness and rotating inertia on the squeeze film characteristics of
parallel circular disks”, J. of Marine Sci. and Tech., vol. 7(1), pp. 60-66,
2009.
[30] H. C. Patel, G. M. Deheri and R. M. Patel, “Behavior of Squeeze film
between rough porous infinitely long parallel plates with porous Matrix
of variable film thickness”, Technische Akademie Esslingen, 16th
International Colloquium Tribology on Lubrications, Materials and Lub.
Engg. C-6, Stuttgart/Ostildern, Germany, 2008.
[31] G. M. Deheri, R. M. Patel and N. D. Abhangi, “Magnetic Fluid Based
Squeeze Film Behavior between Transversely Rough Curved Plates”,
Proceeding of CIST 2008 and ITS-IFToMM2008, Advanced Tribo. , Part
3(I), pp.54-55, 2010.
[32] R. M. Patel, G. M. Deheri and P. A. Vadher, “Magnetic Fluid-Based
Squeeze Film between annular plates and transverse surface roughness
effect”, ANNALS, Faculty Eng., Hunedoara, vol. 8 (1), pp. 51-56, 2010.
[33] G. M. Deheri, R. M. Patel and N. D. Abhangi, “Magnetic fluid-based
squeeze film behavior between transversely rough curved annular plates:
a comparative study”, Indu. Lub. and Tribo., vol. 63(4), pp.254-270,
2011.
@article{"International Journal of Engineering, Mathematical and Physical Sciences:65523", author = "M. E. Shimpi and G. M. Deheri", title = "Magnetic Fluid Based Squeeze Film in Rough Rotating Curved Porous Annular Plates: Deformation Effect", abstract = "This article aims to investigate the performance of a magnetic fluid based squeeze film between rotating transversely rough curved porous annular plates incorporating the effect of elastic deformation. The associated stochastically averaged Reynolds type equation is solved to obtain the pressure distribution leading to the calculation of the load carrying capacity. The results suggest that the transverse roughness of the bearing surfaces affects the performance adversely although the bearing systems register a relatively improved performance due to the magnetization. The deformation causes reduced the load carrying capacity while the curvature parameters tend to nominally increase the load carrying capacity. Besides, the adverse effect of porosity, deformation and standard deviation can be minimized to some extent by the positive effect of the magnetization and the curvature parameters in the case of negatively skewed roughness by suitably choosing the rotational inertia and the aspect ratio, which becomes significant when negative variance occurs.
", keywords = "Annular plates curved rough surface, deformation, load carrying capacity, rotational inertia, magnetic fluid, squeeze film. ", volume = "7", number = "8", pages = "1373-11", }
