Analysis of static and dynamic characteristics of Secant slider bearing with MHD and couple stress fluid

DOI:

https://doi.org/10.26637/MJM0802/0045

Abstract

Effects of couple stress and Magneto-hydrodynamics on a secant slider bearing are discussed in the present study. The basis of this discussion is the theory of couple stresses introduced by Stokes. Basic equations of motion are solved to derive pressure generated in the fluid and load carrying capacity of the bearing. Dynamic characteristics like damping coefficient and dynamic stiffness are also derived. Dynamic characteristics and the bearing performance, when squeezing is nil are evaluated by assigning some numerical values to the parameters. These results are illustrated graphically. It is concluded that the bearing characteristics, both steady and dynamic, will show an increasing trend in its values, when magnetic field is applied to the bearing structure and when fluids having couple stress are used to lubricate it.

Keywords:

Slider bearing, Couple stress, Magneto-hydrodynamics

Mathematics Subject Classification:

Mathematics
  • B. N. Hanumagowda School of Applied Sciences, REVA University, Bengaluru, Karnataka, India.
  • Tesymol Cyriac Muthoot Institute of Technology and Science, Ernalulam-682308, India.
  • H.S. Doreswamy East Point College of Engineering and Technology, Bengaluru, Karnataka, India.
  • A. Salma School of Applied Sciences, REVA University, Bengaluru, Karnataka, India.
  • Pages: 581-587
  • Date Published: 01-04-2020
  • Vol. 8 No. 02 (2020): Malaya Journal of Matematik (MJM)

R. A. Elco and W. F. Hughes., Magnetohydrodynamic pressurization of liquid metal bearings, Wear, 5(1962), 198-212.

J. B. Shukla., The magnetohydrodynamic composite slider bearing, Wear, 7(1964), 460-465.

D.C. Kuzma., The magneto hydrodynamic parallel plate slider bearing, Journal of Basic Engineering, 87(3)(1965), 778-780.

E. A. Hazma., The magneto hydrodynamic squeeze film, Journal of Tribology, 110(2)(1986), 375-377.

V.K. Stokes., Couple Stresses in Fluids, Physics of Fluids, $9(9)(1966), 1709-1716$.

G. Ramanaiah and P. Sarkar., Slider Bearings Lubricated by Fluids with Couple Stress, Wear, 52(1)(1979), 27-36.

N. M. Bujurke and G. Jayaraman., The influence of couple stresses in squeeze films, International Journal of Mechanical Sciences, 24(6)(1982), 369-376.

$[8]$ N. C. Das., A Study of Optimum Load Bearing Capacity for Slider Bearings Lubricated with Couple-Stress Fluids in Magnetic Field, Tribology International, 31(1998), 393- 400.

J. R. Lin., Effects off couple stresses on the lubrication of finite journal bearings, Wear, 206(1997), 171-178.

W. A. Crosby and B. Chetti., The static and dynamic characteristics of a two-lobe journal bearing lubricated with couple-stress fluid, Tribology Transactions, 52(2)(2009), 262-268.

K. Biradar and B. N. Hanumangowda., MHD Effect on Porous Wide Composite Slider Bearings Lubricated with a Couplestress Fluids, Tribology Online, 10(1)( 2015), 11-20.

B. N. Hanumangowda., Effect of Magnetohydrodynamics and Couple stress on Steady and dynamic characteristics of Plane Slider bearing, Tribology Online, 11(1)(2016), 40-49.

N. M. Bujurke and N. B. Naduvinamani., On the performance of narrow porous journal bearing lubricated with couple stress fluid, Acta Mechanica, 86(1)(1991), 179-191.

S. T. Fathima, N. B. Naduvinamani, B. N. Hanumagowda and J. S. Kumar., Modified Reynolds Equation for Different Types of Finite Plates with the Combined Effect of MHD and Couple Stresses, Tribology Transactions, 58(4)(2015), 660-667.

B. N. Hanumagowda, A. Siddangouda , C. S. Nagarajappa and J. Santhosh Kumar., Squeeze Film Lubrication Between Hydro-magnetic Porous Parallel Stepped Plates, IOSR Journal of Engineering, 08(6)(2018), 87-95.

Biradar Kashinath., Magneto hydrodynamic Couple stress Squeeze Film Lubrication of Triangular Plates, International Journal of Engineering Inventions, 3 (3)(2013). 66-73.

J. R. Lin, R. F. Lu and W. H. Liao., Analysis of magnetohydrodynamic squeeze film characteristics between curved annular plates, Industrial Lubrication and Tribology, 56(5)(2004), 300-305.

J. R. Lin., Magneto-hydrodynamic squeeze film characteristics for finite rectangular plates, Industrial Lubrication and Tribology, 55(2)(2003), 84-89.

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Published

01-04-2020

How to Cite

B. N. Hanumagowda, Tesymol Cyriac, H.S. Doreswamy, and A. Salma. “Analysis of Static and Dynamic Characteristics of Secant Slider Bearing With MHD and Couple Stress Fluid”. Malaya Journal of Matematik, vol. 8, no. 02, Apr. 2020, pp. 581-7, doi:10.26637/MJM0802/0045.