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dc.contributor.authorTorres, German ( )
dc.contributor.authorTurner, Cristina ( )
dc.date.accessioned2021-07-13T17:09:56Z
dc.date.available2021-07-13T17:09:56Z
dc.date.issued2005-11-24
dc.identifier.citationTorres, G., & Turner, C. (2005). Method of straight lines for a Bingham problem as a model for the flow of waxy crude oils. Electronic Journal of Differential Equations, 2005(130), pp. 1-15.en_US
dc.identifier.issn1072-6691
dc.identifier.urihttps://digital.library.txstate.edu/handle/10877/13855
dc.description.abstractIn 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.en_US
dc.formatText
dc.format.extent15 pages
dc.format.medium1 file (.pdf)
dc.language.isoenen_US
dc.publisherTexas State University-San Marcos, Department of Mathematicsen_US
dc.sourceElectronic Journal of Differential Equations, 2005, San Marcos, Texas: Texas State University-San Marcos and University of North Texas.
dc.subjectBingham fluiden_US
dc.subjectStraight linesen_US
dc.subjectNon-Newtonian fluidsen_US
dc.titleMethod of straight lines for a Bingham problem as a model for the flow of waxy crude oilsen_US
dc.typepublishedVersion
txstate.documenttypeArticle
dc.rights.licenseCreative Commons License
This work is licensed under a Creative Commons Attribution 4.0 International License.


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