Skip to main content

Power Law Fluid Film Lubrication of Journal Bearing with Squeezing and Temperature Effects

  • Conference paper
  • First Online:

Part of the book series: Lecture Notes in Mechanical Engineering ((LNME))

Abstract

This paper presents theoretical investigations of the rheological effects of lubricant on the performance of the Journal bearing system under steady state condition including squeezing. Runga Kutta Fehlberg method is employed to solve the Reynolds and the energy equations governing the flow of power law fluids simultaneously. Those equations are coupled due to the consistency which is a function of pressure and temperature both. The results show that this simple innovative model can reasonably calculate delta profile and hence the pressure and the temperature. The obtained results that the pressure and the temperature both increase with the power law flow index n and decrease with the increase of the squeezing parameter q. These results are found to be similar to the results available in the literature.

This is a preview of subscription content, log in via an institution.

Buying options

Chapter
USD   29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD   169.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Hardcover Book
USD   219.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Learn about institutional subscriptions

Abbreviations

c:

Radial clearance

h:

Oil film thickness

m:

Consistency index

n:

Flow behaviour index

p:

Hydrodynamic pressure

Q:

Flow flux

R:

Radious of the journal

t:

Time of approach

T:

Temperature

u,v :

Velocity components

V:

Squeeze velocity

W:

Load capacity

WR :

Wπ/Wπ/2 load ratio

ε:

Eccentricity ratio

θ:

Angular co-ordinate

\( \overline{m} \) :

\( m\left( \frac{U}{c} \right)^{n} \alpha \)

\( U \) :

\( c\frac{d\varepsilon }{dt} \)

\( p_{e} \) :

\( \frac{{\rho \,C_{p} \,C\,U}}{k} \)

\( \overline{D} \) :

\( D\sin \theta \frac{2n + 1}{n} \)

\( \overline{E} \) :

\( \frac{E}{D}\left( {\frac{2n + 1}{n}} \right)^{n} \sin^{n} \theta \)

\( \overline{\gamma } \) :

\( \frac{\beta }{\rho Cp\,\alpha } \)

\( \overline{R} \) :

\( \frac{R}{C} \)

\( \overline{h} \) :

\( \frac{h}{C} \)

\( B \) :

\( \left( {\frac{2n + 1}{2n}} \right)^{n} \sin^{n} \theta \)

References

  1. Lin JR, Chou TL, Liang LJ, Hung TC (2012) Non- Newtonian dynamic characteristics of parabolic film slider bearing: micropolar fluid model. Tribol Int 48:226–231

    Google Scholar 

  2. Oliver DR (1988) Load enhancement effects due to polymer thickening in a short model journal bearing. J Non-Newtonian Fluid Mech 30:185–196

    Article  CAS  Google Scholar 

  3. Scott W, Suntiwattana P (1995) Effect of oil additives on the performance of a wet friction clutch material. Wear 181(183):850–855

    Google Scholar 

  4. Spikes HA (1994) The behaviour of lubricants in contacts: current understanding and future possibilities. J Proc Inst Mech Eng 28:3–15

    Article  Google Scholar 

  5. Ferron J, Frene J, Boncompain R (1983) A study of the thermohydrodynamic performance of a plain journal bearing comparison between theory and experiments. ASME J Lubr Tech 105:422–428

    Google Scholar 

  6. Dowson D (1962) A generalized Reynolds equation for fluid-film lubrication. Int J Mech Sci 4:159–170

    Article  Google Scholar 

  7. Khonsari MM, Beaman JJ (1987) Thermohydrodynamic analysis of laminar incompressible journal bearings. ASLE Trans 29:141–150

    Article  Google Scholar 

  8. Chu HM, Li WL, Chang YP (2006) Thin film EHD lubrication—a power law fluid. Tribol Int 39:1474–1481

    Article  Google Scholar 

  9. Sunitha P, Kumar VB, Prasad KR (2013) Generalised Reynolds equation for power law fluid application to parallel plates and spherical bearings squeezing considering thermal variation. Int J Adv Eng Technol 4(1):72–77

    Google Scholar 

  10. Chu H-M, Li W-L, Chang Y-P (2006) Thin film elastohydrodynamic lubrication—a power law fluid model. Tribol Int 39:1474–1481

    Google Scholar 

  11. Dien IK, Elrod HG (1983) A generalised study state Reynolds equation for non—Newtonian fluids with application to journal bearings. ASME J Lubr Technol 105:385

    Google Scholar 

  12. Xiong S, Wang QJ (2012) A steady state hydrodynamic lubrication model with the Payvar- Salant Mass conservation model. J Tribol 134:031703-1, 031703-16

    Google Scholar 

  13. Balasoiu AM, Braun Mj, Moldovan SI (2013) A parametric study of porous self circulating hydrodynamic bearing. Tribol Int 61:176–193

    Google Scholar 

  14. Yagi K, Sagimura J (2013) Elastic deformation in thin film hydrodynamic lubrication. Tribol Int 59:170–180

    Google Scholar 

  15. Safar ZS (1978) Dynamically loaded bearing operating with non Newtonian lubricant films. Wear 55:295–304

    Google Scholar 

  16. Peng ZC, Khonsari MM (2006) A thermohydrodynamic analysis of foil journal bearing. ASME Trans 128:534–541

    Google Scholar 

  17. Sing U, Roy I, Sahu M (2008) Steady state THD analysis of cylindrical fluid film journal bearing with an axial groove. Tribol Int 41:1135–1144

    Google Scholar 

  18. Chen CY, Chen QD, Li WL (2013) Characteristics of journal bearings with anisotropic slip. Tribol Int 61:144–155

    Google Scholar 

  19. Wang XL, Zhu K, Wen S (2001) THD analysis of journal bearing lubricated with couple stress fluid. Tribol Int 34:335–343

    Article  CAS  Google Scholar 

  20. Thomsen K, Klit P (2011) A study on complaints layers and its influence on dynamic response of a hydrodynamic journal bearing. Tribol Int 44:1872–1877

    Google Scholar 

  21. Liu D, Zjang W, Zhang T (2008) A simplified one dimensional thermal model for journal bearing. J Tribol 130

    Google Scholar 

  22. Sing C, Sinha P (1981) Non-Newtonian squeeze film and journal bearing. Wear 70:311–319

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Dhaneshwar Prasad .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2014 Springer India

About this paper

Cite this paper

Prasad, D., Panda, S.S., Subrahmanyam, S.V. (2014). Power Law Fluid Film Lubrication of Journal Bearing with Squeezing and Temperature Effects. In: Patel, H., Deheri, G., Patel, H., Mehta, S. (eds) Proceedings of International Conference on Advances in Tribology and Engineering Systems. Lecture Notes in Mechanical Engineering. Springer, New Delhi. https://doi.org/10.1007/978-81-322-1656-8_6

Download citation

  • DOI: https://doi.org/10.1007/978-81-322-1656-8_6

  • Published:

  • Publisher Name: Springer, New Delhi

  • Print ISBN: 978-81-322-1655-1

  • Online ISBN: 978-81-322-1656-8

  • eBook Packages: EngineeringEngineering (R0)

Publish with us

Policies and ethics