Table 1 Relative difference in bearing characteristics for concave bearing surface shape with and without lubricant additives40.

From: Stability analysis of hydrodynamic journal bearings with variable axial geometrical configuration using titanium dioxide nanoparticles as lubricant additives

\(\varepsilon\)

Surface geometry

Nanofluid lubricant

Combination of the two

\(\% \,W_{\,g}\)

\(\% \,C_{f\,g}\)

\(\% \,W_{\,n}\)

\(\% \,C_{f\,n}\)

\(\% \,W_{\,gn}\)

\(\% \,C_{f\,g\,n}\)

0.2

38.412

 − 9.253

16.611

 − 0.003

61.404

 − 9.255

0.3

38.489

 − 9.303

16.611

 − 0.00376

61.494

 − 9.307

0.4

39.647

 − 10.056

16.611

 − 0.0042

62.844

 − 10.06

0.5

41.553

 − 11.268

16.611

 − 0.0039

65.067

 − 11.271

0.6

38.403

 − 9.247

16.611

 − 0.00294

61.394

 − 9.25

0.7

43.767

 − 12.635

16.611

 − 0.00138

67.649

 − 12.636

0.8

37.2

 − 8.448

16.611

 − 0.00225

59.991

 − 8.45

0.9

37.191

 − 8.453

16.611

 − 0.0256

59.98

 − 8.519

   

TiO2 lubricant additive: ϕ = 0.005 and β = 7.77