German Ariel Torres, Cristina Turner
Abstract:
In this work, we develop a method of straight lines for
solving a Bingham problem that models the flow of waxy crude oils.
The model describes the flow of mineral oils with a high content
of paraffin at temperatures below the cloud point
(i.e. the crystallization temperature of paraffin)
and more specifically below the pour point at which the crystals
aggregate themselves and the oil takes a jell-like structure.
From the rheological point of view such a system can be modelled
as a Bingham fluid whose parameters evolve according to the
volume fractions of crystallized paraffin and the aggregation
degree of crystals. We prove that the method is well defined
for all times, a monotone property, qualitative behaviour
of the solution, and a convergence theorem. The results are
compared with numerical experiments at the end of this article.
Submitted April 15, 2005. Published November 24, 2005.
Math Subject Classifications: 35A40, 35B40, 35R35, 65M20, 65N40.
Key Words: Bingham fluid; straight lines; non-newtonian fluids.
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German Torres Universidad Nacional de Cordoba CIEM-CONICET, Cordoba, Argentina e-mail: torres@mate.uncor.edu http://www.famaf.unc.edu.ar/torres |
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Cristina Turner Universidad Nacional de Cordoba CIEM-CONICET, Cordoba, Argentina e-mail: turner@mate.uncor.edu http://www.famaf.unc.edu.ar/turner |
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