American Journal of Applied Mathematics and Statistics
ISSN (Print): 2328-7306 ISSN (Online): 2328-7292 Website: http://www.sciepub.com/journal/ajams Editor-in-chief: Mohamed Seddeek
Open Access
Journal Browser
Go
American Journal of Applied Mathematics and Statistics. 2020, 8(2), 43-51
DOI: 10.12691/ajams-8-2-2
Open AccessArticle

Study of Double Porous Layered Slider Bearing with Various Designed Stator under the Effects of Slip and Squeeze Velocity Using Magnetic Fluid Lubricant

Ramesh C Kataria1, and Darshana A Patel2

1Department of Mathematics, Som-Lalit Institute of Computer Applications, Ahmedabad, India

2Department of Mathematics and Humanities, Vishwakarma Government Engineering College, Ahmedabad, India

Pub. Date: June 18, 2020

Cite this paper:
Ramesh C Kataria and Darshana A Patel. Study of Double Porous Layered Slider Bearing with Various Designed Stator under the Effects of Slip and Squeeze Velocity Using Magnetic Fluid Lubricant. American Journal of Applied Mathematics and Statistics. 2020; 8(2):43-51. doi: 10.12691/ajams-8-2-2

Abstract

A comparative mathematical analysis of slider bearing made up of double porous layered slider supported by solid wall with different designed stator such as convex, parallel, exponential, inclined, and secant is presented in this research paper. The study includes the effect of slip velocity as suggested by Sparrow et al. [13] at the interface of film-porous. Effects of squeeze velocity and the oblique variable magnetic field to the lower plate are considered. General form of Reynolds type equation, non-dimensional squeeze film pressure and load carrying capacity expressions are obtained. The values of non-dimensional load carrying capacity are obtained and compared among various considered designs bearings. Overall, it could be concluded that compared to others, secant pad stator slider bearing is suggested for the superior performance of the system.

Keywords:
lubrication ferrofluid squeeze velocity porosity slip velocity

Creative CommonsThis work is licensed under a Creative Commons Attribution 4.0 International License. To view a copy of this license, visit http://creativecommons.org/licenses/by/4.0/

References:

[1]  Moore, D. F., “A review of squeeze films,” Wear, 8(4), 245-263, 1965.
 
[2]  Gould, P., “Parallel surface squeeze films: the effect of the variation of the viscosity with temperature and pressure,” J. Lubr. Technol., 89(3), 375-380, 1967.
 
[3]  Wu, H., “Squeeze-film behavior for porous annular disks,” J. Lubr. Technol., 92(4), 593-596, 1970.
 
[4]  Christensen, H., “Elastohydrodynamic theory of spherical bodies in normal approach,” J. Lubr. Technol., 92(1), 145-153, 1970.
 
[5]  Prakash, J. and Vij, S.K., “Hydrodynamic lubrication of a porous slider,” J. Mech. Eng. Sci., 15(3), 232-234, 1973.
 
[6]  Rosensweig, R.E., Ferrohydrodynamics, Cambridge University Press, New York, 1985.
 
[7]  Goldowsky, M., “New methods for sealing, filtering, and lubricating with magnetic fluids,” IEEE trans. on Magnetics, 16 (2), 382-386, 1980.
 
[8]  Agrawal, V.K., “Magnetic fluid based porous inclined slider bearing,” Wear, 107 (2), 133 -139, 1986.
 
[9]  Patel, R.M. and Deheri, G.M., “Magnetic fluid based film between two curved plates lying along the surfaces determined by secant functions,” Indian J. of Eng. and Mater. Sci., 9, 45-48, 2002.
 
[10]  Shah, R.C. and Bhat M.V., “Ferrofluid lubrication of a slider bearing with a circular convex pad,” J. Natl Sci Found of Sri Lanka, 32(3&4), 139-148, 2004.
 
[11]  Huang, W. and Wang, X., “Ferrofluids lubrication: a status report,” Lubr. Sci., 28(1), 3-26, 2016.
 
[12]  Beavers, G.S. and Joseph, D.D., “Boundary conditions at a naturally permeable wall,” J. Fluid Mech., 30, 197-207, 1967.
 
[13]  Sparrow, E.M., Beavers, G.S. and Hwang, I.T., “Effect of velocity slip on porous-walled squeeze films,” J. Lubr. Technol., 94(3), 260-265, 1972.
 
[14]  Puri, Vinay and Patel, C.M., “Analysis of a composite porous slider bearing with anisotropic permeability and slip velocity,” Wear, 84(1), 33-38, 1983.
 
[15]  Shah, R.C. and Bhat, M.V., “Ferrofluid lubrication of a porous slider bearing with a convex pad surface considering slip velocity,” Int J Appl Electrom Mecha., 20(1), 1-9, 2004.
 
[16]  Shah, R.C. and Patel, D.B., “Mathematical analysis of newly designed ferrofluid lubricated doubled porous layered axially undefined journal bearing with anisotropic permeability, slip velocity and squeeze velocity,” Int. J. Fluid Mech. Res., 40(5), 446-454, 2013.
 
[17]  Shah, R.C. and Parsania M. M., “Comparative study of parallel plate slider bearing with other slider bearings using magnetic fluid as lubricant,” Am. J. Math. Stat., 3(4), 179-189, 2013.
 
[18]  Shah, R.C. and Kataria, R. C., “Mathematical Analysis of newly designed two porous layers slider bearing with a convex pad upper surface considering slip and squeeze velocity using ferrofluid lubricant,” Int. J. Math. Model. Comput., 4(2), 93-101, 2014.
 
[19]  Shah, R.C. and Patel, D. A., “On the ferrofluid lubricated squeeze film characteristics between a rotating sphere and a radially rough plate,” Meccanica, 51(8), 1973-1984, 2016.
 
[20]  Shah, R.C., Kataria, R. C. and Patel, D. A., “Ferrofluid lubricated porous squeeze-film bearing with the modified condition of pressure continuity at the film-porous interface,” Tribol. Online, 14(3), 123-130, 2019.
 
[21]  Shah, R. C. and Bhat, M.V., “Ferrofluid lubrication equation for porous bearing considering anisotropic permeability and slip velocity,” Indian J. Eng. Mater. Sci., 10, 277-281, 2003.
 
[22]  Shah, R. C. and Bhat, M. V., “Analysis of a porous exponential slider bearing lubricated with a ferrofluid considering slip velocity,” J. Braz. Soc. Mech. Sci. and Eng., 25(3), July/Sept. 2003.