×

zbMATH — the first resource for mathematics

Variational principle for non-Newtonian lubrication: Rabinowitsch fluid model. (English) Zbl 1095.76046
The author discusses a semi-inverse method for deriving a one-dimensional Reynolds-type equation by using variational arguments. The key arguments can be extended to other classes of nonlinear equations, including two- or three-dimensional problems and other non-Newtonian lubrications.

MSC:
76M30 Variational methods applied to problems in fluid mechanics
76A05 Non-Newtonian fluids
76D08 Lubrication theory
PDF BibTeX XML Cite
Full Text: DOI
References:
[1] Liu, J.-R., Now-Newtonian effects on the dynamic characteristics of one-dimensional slider bearings: rabinowitsch fluid model, Trib. lett., 10, 4, 237-243, (2001)
[2] Raju, V.C.C.; Vasudeva, R.Y.; Yegnanarayana, G., Generalized one-dimensional Reynolds equation for micropolar fluid film lubrication, Int. J. nonlinear sci. numer. simul., 3, 2, 161-166, (2002) · Zbl 1079.76005
[3] He, J.H., Semi-inverse method of establishing generalized variational principles for fluid mechanics with emphasis on turbomachinery aerodynamics, Int. J. turbo jet-engines, 14, 1, 23-28, (1997)
[4] He, J.H., A variational model for micropolar fluids in lubrication journal bearing, Int. J. nonlinear sci. numer. simul., 1, 2, 139-142, (2000) · Zbl 0978.76009
[5] He, J.H., A variational principle for magnetohydrodynamics with high Hartmann number flow, Int. J. eng. sci., 40, 12, 1403-1410, (2002) · Zbl 1211.76145
[6] Mosconi, M., Mixed variational formulations for continua with microstructure, Int. J. solids struct., 39, 4181-4195, (2002) · Zbl 1032.74009
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.