Analysis of Squeeze Films Between Rough Circular Plates Lubricated with Rabinowitsch Fluids

Udaya Pratap Singh

doi:doi:10.11648/j.ajma.20190701.11

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Analysis of Squeeze Films Between Rough Circular Plates Lubricated with Rabinowitsch Fluids

Udaya Pratap Singh

Published in American Journal of Mechanics and Applications (Volume 7, Issue 1)

Received: 12 May 2019 Accepted: 10 June 2019 Published: 25 June 2019

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Abstract

The present theoretical work investigates the combined impacts of non-Newtonian (pseudoplastic and dilatant) lubricants and surface roughness on the performance of squeeze films lubrication between two rough circular plates. The modified Reynolds equation has been derived on the basis of Christensen’s stochastic theory of hydrodynamic lubrication for rough surfaces. The lubricant model adopted for the analysis is Rabinowitsch fluid model – an experimentally verified fluid model for lubricated bearing systems. Two types of one-dimensional roughness patterns (radial and azimuthal) have been considered in the analysis. An asymptotic solution for squeeze film pressure, load carrying capacity and squeeze film time are obtained. The numerical results for dimensionless film pressure, load carrying capacity and film squeezing time have been calculated for various values of fluid and operating parameters. The results for dimensionless film pressure, load capacity and squeezing time of the lubricant film have been discussed with clear graphical presentation for different values of parameters of pseudoplasticity and roughness. It was observed that the radial roughness decreases the film pressure, load capacity and squeezing time of lubricant, while increased values of these properties were observed for azimuthal roughness. It was also observed that the pseudoplastic lubricants decrease the film pressure and load capacity, while the dilatant lubricants increase these properties. Also, the variations in these results are highly significant.

Published in	American Journal of Mechanics and Applications (Volume 7, Issue 1)
DOI	10.11648/j.ajma.20190701.11
Page(s)	1-9
Creative Commons	This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited.
Copyright	Copyright © The Author(s), 2024. Published by Science Publishing Group

Keywords

Surface Roughness, Circular Plates, Squeeze Film, Non-newtonian Fluids

References

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[4]	Jurczak P, Falicki J. Pressure distribution in a squeeze film spherical bearing with rough surfaces lubricated by an ellis fluid. Int J Appl Mech Eng 2016. doi: 10.1515/ijame-2016-0036.
[5]	Walicka A, Walicki E, Jurczak P, Falicki J. Curvilinear squeeze film bearing with porous wall lubricated by a Rabinowitsch fluid. Int J Appl Mech Eng 2017. doi: 10.1515/-0026.
[6]	Singh UP. Combined effects of piezo-viscosity and couple stress fluids on squeeze film between circular plates. Int J Fluid Mech Res 2014; 41. doi: 10.1615/InterJFluidMechRes.v41.i4.60.
[7]	Naduvinamani NB, Apparao S, Kadadi AK, Biradar SN. Combined Effects of Viscosity Variation and Surface Roughness on the Squeeze Film Lubrication of Journal Bearings with Micropolar Fluids. Tribol Online 2014. doi: 10.2474/trol.9.175.
[8]	Singh UP, Gupta RS, Kapur VK. On the steady performance of hydrostatic thrust bearing: Rabinowitsch fluid model. Tribol Trans 2011; 54: 723–9. doi: 10.1080/10402004.2011.597541.
[9]	Singh, U. P., Gupta, R. S., Kapur VK. On the Steady Performance of Annular Hydrostatic Thrust Bearing: Rabinowitsch Fluid Model. J Tribol 2012; 134: 1–5.
[10]	Singh UP, Gupta RS, Kapur VK. On the squeeze film characteristics between a long cylinder and a flat plate: Rabinowitsch model. Proc Inst Mech Eng Part J J Eng Tribol 2013; 227. doi: 10.1177/1350650112458742.
[11]	Singh UP, Gupta RS, Kapur VK. Non-Newtonian Effects on the Squeeze Film Characteristics between a Sphere and A Flat Plate: Rabinowitsch Model. Adv Tribol 2012; 2012: 1–7. doi: DOI: 10.1155 / 2012 / 571036.
[12]	Wada S, Hayashi H. Hydrodynamic Lubrication of Journal Bearings by Pseudo-Plastic Lubricants : Part 2, Experimental Studies. Bull JSME 1971. doi: 10.1299/jsme1958.14.279.
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[15]	Sinhasan R, Sah PL. Static and dynamic performance characteristics of an orifice compensated hydrostatic journal bearing with non-Newtonian lubricants. Tribol Int 1996; 29: 515–26. doi: https://doi.org/10.1016/0301-679X (95) 00115-K.
[16]	Bourging P, Gay B. Determination of the load capacity of finite width journal bearing by finite element method in the case of a non-Newtonian lubricant. J Tribol 1984; 106: 285–90.
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[18]	Lin J-R. Non-Newtonian effects on the dynamic characteristics of one dimensional slider bearings: Rabinowitsch model. Tribol Lett 2001; 10: 237–43.
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APA Style

Udaya Pratap Singh. (2019). Analysis of Squeeze Films Between Rough Circular Plates Lubricated with Rabinowitsch Fluids. American Journal of Mechanics and Applications, 7(1), 1-9. https://doi.org/10.11648/j.ajma.20190701.11

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ACS Style

Udaya Pratap Singh. Analysis of Squeeze Films Between Rough Circular Plates Lubricated with Rabinowitsch Fluids. Am. J. Mech. Appl. 2019, 7(1), 1-9. doi: 10.11648/j.ajma.20190701.11

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AMA Style

Udaya Pratap Singh. Analysis of Squeeze Films Between Rough Circular Plates Lubricated with Rabinowitsch Fluids. Am J Mech Appl. 2019;7(1):1-9. doi: 10.11648/j.ajma.20190701.11

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@article{10.11648/j.ajma.20190701.11,
  author = {Udaya Pratap Singh},
  title = {Analysis of Squeeze Films Between Rough Circular Plates Lubricated with Rabinowitsch Fluids},
  journal = {American Journal of Mechanics and Applications},
  volume = {7},
  number = {1},
  pages = {1-9},
  doi = {10.11648/j.ajma.20190701.11},
  url = {https://doi.org/10.11648/j.ajma.20190701.11},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ajma.20190701.11},
  abstract = {The present theoretical work investigates the combined impacts of non-Newtonian (pseudoplastic and dilatant) lubricants and surface roughness on the performance of squeeze films lubrication between two rough circular plates. The modified Reynolds equation has been derived on the basis of Christensen’s stochastic theory of hydrodynamic lubrication for rough surfaces. The lubricant model adopted for the analysis is Rabinowitsch fluid model – an experimentally verified fluid model for lubricated bearing systems. Two types of one-dimensional roughness patterns (radial and azimuthal) have been considered in the analysis. An asymptotic solution for squeeze film pressure, load carrying capacity and squeeze film time are obtained. The numerical results for dimensionless film pressure, load carrying capacity and film squeezing time have been calculated for various values of fluid and operating parameters. The results for dimensionless film pressure, load capacity and squeezing time of the lubricant film have been discussed with clear graphical presentation for different values of parameters of pseudoplasticity and roughness. It was observed that the radial roughness decreases the film pressure, load capacity and squeezing time of lubricant, while increased values of these properties were observed for azimuthal roughness. It was also observed that the pseudoplastic lubricants decrease the film pressure and load capacity, while the dilatant lubricants increase these properties. Also, the variations in these results are highly significant.},
 year = {2019}
}

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TY  - JOUR
T1  - Analysis of Squeeze Films Between Rough Circular Plates Lubricated with Rabinowitsch Fluids
AU  - Udaya Pratap Singh
Y1  - 2019/06/25
PY  - 2019
N1  - https://doi.org/10.11648/j.ajma.20190701.11
DO  - 10.11648/j.ajma.20190701.11
T2  - American Journal of Mechanics and Applications
JF  - American Journal of Mechanics and Applications
JO  - American Journal of Mechanics and Applications
SP  - 1
EP  - 9
PB  - Science Publishing Group
SN  - 2376-6131
UR  - https://doi.org/10.11648/j.ajma.20190701.11
AB  - The present theoretical work investigates the combined impacts of non-Newtonian (pseudoplastic and dilatant) lubricants and surface roughness on the performance of squeeze films lubrication between two rough circular plates. The modified Reynolds equation has been derived on the basis of Christensen’s stochastic theory of hydrodynamic lubrication for rough surfaces. The lubricant model adopted for the analysis is Rabinowitsch fluid model – an experimentally verified fluid model for lubricated bearing systems. Two types of one-dimensional roughness patterns (radial and azimuthal) have been considered in the analysis. An asymptotic solution for squeeze film pressure, load carrying capacity and squeeze film time are obtained. The numerical results for dimensionless film pressure, load carrying capacity and film squeezing time have been calculated for various values of fluid and operating parameters. The results for dimensionless film pressure, load capacity and squeezing time of the lubricant film have been discussed with clear graphical presentation for different values of parameters of pseudoplasticity and roughness. It was observed that the radial roughness decreases the film pressure, load capacity and squeezing time of lubricant, while increased values of these properties were observed for azimuthal roughness. It was also observed that the pseudoplastic lubricants decrease the film pressure and load capacity, while the dilatant lubricants increase these properties. Also, the variations in these results are highly significant.
VL  - 7
IS  - 1
ER  -

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Author Information

Udaya Pratap Singh

Department of Mathematics, Rajkiya Engineering College, Sonbhadra, India

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APA Style

Udaya Pratap Singh. (2019). Analysis of Squeeze Films Between Rough Circular Plates Lubricated with Rabinowitsch Fluids. American Journal of Mechanics and Applications, 7(1), 1-9. https://doi.org/10.11648/j.ajma.20190701.11

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ACS Style

Udaya Pratap Singh. Analysis of Squeeze Films Between Rough Circular Plates Lubricated with Rabinowitsch Fluids. Am. J. Mech. Appl. 2019, 7(1), 1-9. doi: 10.11648/j.ajma.20190701.11

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AMA Style

Udaya Pratap Singh. Analysis of Squeeze Films Between Rough Circular Plates Lubricated with Rabinowitsch Fluids. Am J Mech Appl. 2019;7(1):1-9. doi: 10.11648/j.ajma.20190701.11

Copy | Download

@article{10.11648/j.ajma.20190701.11,
  author = {Udaya Pratap Singh},
  title = {Analysis of Squeeze Films Between Rough Circular Plates Lubricated with Rabinowitsch Fluids},
  journal = {American Journal of Mechanics and Applications},
  volume = {7},
  number = {1},
  pages = {1-9},
  doi = {10.11648/j.ajma.20190701.11},
  url = {https://doi.org/10.11648/j.ajma.20190701.11},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ajma.20190701.11},
  abstract = {The present theoretical work investigates the combined impacts of non-Newtonian (pseudoplastic and dilatant) lubricants and surface roughness on the performance of squeeze films lubrication between two rough circular plates. The modified Reynolds equation has been derived on the basis of Christensen’s stochastic theory of hydrodynamic lubrication for rough surfaces. The lubricant model adopted for the analysis is Rabinowitsch fluid model – an experimentally verified fluid model for lubricated bearing systems. Two types of one-dimensional roughness patterns (radial and azimuthal) have been considered in the analysis. An asymptotic solution for squeeze film pressure, load carrying capacity and squeeze film time are obtained. The numerical results for dimensionless film pressure, load carrying capacity and film squeezing time have been calculated for various values of fluid and operating parameters. The results for dimensionless film pressure, load capacity and squeezing time of the lubricant film have been discussed with clear graphical presentation for different values of parameters of pseudoplasticity and roughness. It was observed that the radial roughness decreases the film pressure, load capacity and squeezing time of lubricant, while increased values of these properties were observed for azimuthal roughness. It was also observed that the pseudoplastic lubricants decrease the film pressure and load capacity, while the dilatant lubricants increase these properties. Also, the variations in these results are highly significant.},
 year = {2019}
}

Copy | Download

TY  - JOUR
T1  - Analysis of Squeeze Films Between Rough Circular Plates Lubricated with Rabinowitsch Fluids
AU  - Udaya Pratap Singh
Y1  - 2019/06/25
PY  - 2019
N1  - https://doi.org/10.11648/j.ajma.20190701.11
DO  - 10.11648/j.ajma.20190701.11
T2  - American Journal of Mechanics and Applications
JF  - American Journal of Mechanics and Applications
JO  - American Journal of Mechanics and Applications
SP  - 1
EP  - 9
PB  - Science Publishing Group
SN  - 2376-6131
UR  - https://doi.org/10.11648/j.ajma.20190701.11
AB  - The present theoretical work investigates the combined impacts of non-Newtonian (pseudoplastic and dilatant) lubricants and surface roughness on the performance of squeeze films lubrication between two rough circular plates. The modified Reynolds equation has been derived on the basis of Christensen’s stochastic theory of hydrodynamic lubrication for rough surfaces. The lubricant model adopted for the analysis is Rabinowitsch fluid model – an experimentally verified fluid model for lubricated bearing systems. Two types of one-dimensional roughness patterns (radial and azimuthal) have been considered in the analysis. An asymptotic solution for squeeze film pressure, load carrying capacity and squeeze film time are obtained. The numerical results for dimensionless film pressure, load carrying capacity and film squeezing time have been calculated for various values of fluid and operating parameters. The results for dimensionless film pressure, load capacity and squeezing time of the lubricant film have been discussed with clear graphical presentation for different values of parameters of pseudoplasticity and roughness. It was observed that the radial roughness decreases the film pressure, load capacity and squeezing time of lubricant, while increased values of these properties were observed for azimuthal roughness. It was also observed that the pseudoplastic lubricants decrease the film pressure and load capacity, while the dilatant lubricants increase these properties. Also, the variations in these results are highly significant.
VL  - 7
IS  - 1
ER  -

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