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Research Papers: Fundamental Issues and Canonical Flows

Computational Dynamics of a Thermally Decomposable Viscoelastic Lubricant Under Shear

[+] Author and Article Information
T. Chinyoka1

Center for Advanced Studies in Mathematics, Lahore University of Management Sciences, 54792 Lahore, Pakistantchinyok@vt.edu

1

Also at Center for Research in Computational and Applied Mechanics, University of Cape Town, Rondebosch 7701, South Africa.

J. Fluids Eng 130(12), 121201 (Oct 23, 2008) (7 pages) doi:10.1115/1.2978993 History: Received November 20, 2006; Revised September 11, 2007; Published October 23, 2008

The effect of viscoelasticity on the thermodynamic performance of a thermally decomposable lubricant subjected to shear and Arrhenius kinetics is investigated with direct numerical simulations. A numerical algorithm based on the finite difference method is implemented in time and space with the Oldroyd-B constitutive equation as the model for the viscoelastic liquids. We report enhanced efficiency in the case of a polymeric lubricant as compared with the purely viscous lubricant. In particular, it is demonstrated that the use of polymeric liquids helps to delay the onset of thermal runaway as compared with progressively Newtonian liquids.

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Copyright © 2008 by American Society of Mechanical Engineers
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References

Figures

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Figure 1

Schematics of the model problem

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Figure 2

Setting β=γ=De=0 in our full model

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Figure 3

Variation of maximum temperature with δ1 (-⋅), δ2 (−), and α (- -)

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Figure 4

Variation of maximum temperature with β (-⋅), γ (−), and De b(- -)

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Figure 5

Variation of maximum temperature with δ1

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Figure 7

Variation of fluid quantities in the viscoelastic case

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Figure 6

Variation of the logarithm of maximum temperature with δ1

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