Abstract
Chapter 4 highlighted the necessity to develop a model that correlates the viscosity of Non-Newtonian oils to the shear reflection coefficient. In this chapter the Maxwell model is derived and simplified to obtain an analytical model that is function of the reflection coefficient only. The Maxwell model is then compared with the Newtonian algorithms and its efficiency is tested through a sensitivity analysis.
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References
S. Bair, W.O. Winer, Some observations on the relationship between lubricant mechanical and dielectric transitions under pressure. Trans. ASME J. Lubr. Tech. 102(2), 229–235 (1980)
A.J. Barlow, J. Lamb, The visco-elastic behaviour of lubricating oils under cyclic shearing stress. Proc. R. Soc. Lond. Math. Phys. Sci. 253, 52–69 (1959)
J.F. Hutton, Viscoelastic relaxation spectra of lubricating oils and their component fractions. Proc. R. Soc. Lond. Math. Phys. Sci. 304(1476), 65–80 (1967)
K.L. Johnson, J.L. Tevaarwerk, Shear behaviour of elastohydrodynamic oil films. Proc. R. Soc. Lond. Math. Phys. Sci. 356(1685), 215–236 (1977)
J. Lamb, Physical properties of fluid lubricants: rheological and viscoelastic behaviour, in Proceedings of the Institution of Mechanical Engineers, Conference Proceedings, vol 182 (1967), pp. 293–310
H. Markovitz, Boltzmann and the beginnings of linear viscoelasticity. Trans. Soc. Rheol. (1957-1977) 21(3), 381–398 (1977)
J.C. Maxwell, The Bakerian lecture: on the viscosity or internal friction of air and other gases. Phil. Trans. R. Soc. Lond. 156, 249–268 (1866)
F. Mainardi, G. Spada, Creep, relaxation and viscosity properties for basic fractional models in rheology. Eur Phys J Spec Top. 193(1), 133–160 (2011)
E. Wiechert, Gesetze der elastischen Nachwirkung für constante Temperatur. Ann. Phys. 286(335–348), 546–570 (1893)
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Schirru, M. (2017). A Novel Ultrasonic Model for Non-Newtonian Fluids. In: Development of an Ultrasonic Sensing Technique to Measure Lubricant Viscosity in Engine Journal Bearing In-Situ. Springer Theses. Springer, Cham. https://doi.org/10.1007/978-3-319-53408-4_5
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DOI: https://doi.org/10.1007/978-3-319-53408-4_5
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