dc.contributor.author Torres, German ( ) dc.contributor.author Turner, Cristina ( ) dc.date.accessioned 2021-07-13T17:09:56Z dc.date.available 2021-07-13T17:09:56Z dc.date.issued 2005-11-24 dc.identifier.citation Torres, 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.issn 1072-6691 dc.identifier.uri https://digital.library.txstate.edu/handle/10877/13855 dc.description.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. en_US dc.format Text dc.format.extent 15 pages dc.format.medium 1 file (.pdf) dc.language.iso en en_US dc.publisher Texas State University-San Marcos, Department of Mathematics en_US dc.source Electronic Journal of Differential Equations, 2005, San Marcos, Texas: Texas State University-San Marcos and University of North Texas. dc.subject Bingham fluid en_US dc.subject Straight lines en_US dc.subject Non-Newtonian fluids en_US dc.title Method of straight lines for a Bingham problem as a model for the flow of waxy crude oils en_US dc.type publishedVersion txstate.documenttype Article dc.rights.license This work is licensed under a Creative Commons Attribution 4.0 International License. dc.description.department Mathematics
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