Numerical Modeling of Non-Newtonian Fluids in Slider Bearings and Channel Thermohydrodynamic Flow

[+] Author and Article Information
M. El Khlifi

Faculté des Sciences et Techniques, Université Hassan II—Mohammedia, BP 146, 20650 Mohammedia, Moroccom.elkhlifi@yahoo.fr

D. Souchet, M. Hajjam, F. Bouyahia

Laboratoire de Mécanique des Solides, C.N.R.S., U.M.R. 6610, Université de Poitiers, 4 Avenue de Varsovie, 16021 Angoulême Cedex, France

J. Tribol 129(3), 695-699 (Jan 19, 2007) (5 pages) doi:10.1115/1.2736732 History: Received April 03, 2006; Revised January 19, 2007

A three-dimensional thermohydrodynamic model is developed to predict non-Newtonian lubricant behavior in slider bearings and channel flow. The generalized Reynolds equation is established using the concept of generalized Newtonian fluids (GNF) and the temperature field is determined with the energy equation. The chosen rheological models are the power-law, Bingham, and Hershel–Bulkley models. The last two models hold uniformly in yielded and unyielded regions using the approach proposed by Papanastasiou. The results present the evolution of the velocity, pressure, and thermal fields. The power loss, load capacity, and friction coefficient are analyzed. Comparisons are made with Newtonian lubricants and other recent non-Newtonian computational analyses.

Copyright © 2007 by American Society of Mechanical Engineers
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Figure 1

Wedge geometry and computational grid

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Figure 2

(a) 3D pressure distribution in the slider bearing for Bingham fluid; and (b) pressure distribution along the centerline (z=1∕2) of the slider bearing for Bingham fluid

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Figure 3

Bingham constitutive law curve (shear stress versus shear rate), for different dimensionless Papanastasiou parameter m′ values (Bi=1)

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Figure 4

Pressure distribution along the centerline (z=1∕2) of the slider bearing for the tested non-Newtonian lubricants: (a) a=2 and b=1; and (b) a=2 and b=0.8

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Figure 5

Velocity profiles for the Bingham lubricant in the channel flow: (a) isothermal calculations (HD); and (b) thermohydrodynamic calculations (THD)



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