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Multigrid method for the solution of EHL line contact with bio-based oils as lubricants

Vishwanath B. Awati

Vishwanath B. Awati

Department of Mathematics, Rani Channamma UniversityBelagavi, India
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Awati, Vishwanath B.
, 
Shankar Naik

Shankar Naik

Department of Mathematics, Rani Channamma UniversityBelagavi, India
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Naik, Shankar
 and 
N. Mahesh Kumar

N. Mahesh Kumar

Department of Mathematics, Rani Channamma UniversityBelagavi, India
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Mahesh Kumar, N.
  
Aug 27, 2016
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Published Online: Aug 27, 2016
Page range: 359 - 368
Received: May 05, 2016
Accepted: Aug 27, 2016
DOI: https://doi.org/10.21042/AMNS.2016.2.00031
Keywords
© 2016 Vishwanath B. Awati, Shankar Naik, Mahesh Kumar N. published by Sciendo
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Fig. 1

Effects of load variation for Soyabean oil with U = 1.0×10−11.
Effects of load variation for Soyabean oil with U = 1.0×10−11.

Fig. 2

Effects of speed variation for Soyabean oil with W = 2.0452×10−5.
Effects of speed variation for Soyabean oil with W = 2.0452×10−5.

Fig. 3

EHL pressure and film thickness profile for all tested oils.U = 1.0×10−11 and W = 2.0452×10−5.
EHL pressure and film thickness profile for all tested oils.U = 1.0×10−11 and W = 2.0452×10−5.

Physical properties of tested oil at 40°C_

Oil nameDynamic viscosity (Pa.s) at 40°Cα (m2/N)G
Sunflower oil0.0291.3008E-083002
Soyabean oil0.0311.3229E-083053
Castor oil0.232.3283E-085373

Physical parameters of roller bearing_

Material (roller and disc)Steel AISI 52100
Elastic modulus (roller and surface)Er = Ed = 210 GPa
Poison’s ratioνr = νd = 0.3
Radius of rollerR = 0.0114

Effect of dimensional load and speed on dimensional pressure and filmthickness_

WUSoyabean oilDedi [19]
HminPmaxHminPmax
1.0×10−51.0×10−111.44093E +097.1574E −021.06166E +096.7714E −02
1.5×10−51.0×10−111.36295E +094.5266E −021.03413E +094.3496E −02
2.0×10−51.0×10−111.33590E +093.2703E −020.97428E +093.1680E −02
4.0×10−51.0×10−111.32177E +091.4942E −020.78821E +091.4662E −02
2.045×10−50.5×10−111.06785E +091.9629E −020.85334E +091.9272E −02
2.045×10−51.0×10−111.35488E +093.1888E −020.97086E +093.0910E −02
2.045×10−52.0×10−111.67199E +095.1802E −021.09415E +094.9282E −02
2.045×10−54.0×10−112.05771E +098.4152E −021.20721E +097.7793E −02
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