Method of straight lines for a Bingham problem as a model for the flow of waxy crude oils

Simple item page
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.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.
dc.description.departmentMathematics
dc.formatText
dc.format.extent15 pages
dc.format.medium1 file (.pdf)
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. <i>Electronic Journal of Differential Equations, 2005</i>(130), pp. 1-15.
dc.identifier.issn1072-6691
dc.identifier.urihttps://hdl.handle.net/10877/13855
dc.language.isoen
dc.publisherTexas State University-San Marcos, Department of Mathematics
dc.rightsAttribution 4.0 International
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/
dc.sourceElectronic Journal of Differential Equations, 2005, San Marcos, Texas: Texas State University-San Marcos and University of North Texas.
dc.subjectBingham fluid
dc.subjectStraight lines
dc.subjectNon-Newtonian fluids
dc.titleMethod of straight lines for a Bingham problem as a model for the flow of waxy crude oils
dc.typeArticle

Files

Original bundle

Now showing 1 - 1 of 1
Thumbnail Image
Name:
torres.pdf
Size:
347.64 KB
Format:
Adobe Portable Document Format
Description:
Download

License bundle

Now showing 1 - 1 of 1
No Thumbnail Available
Name:
license.txt
Size:
2.54 KB
Format:
Item-specific license agreed upon to submission
Description:
Download

Collections

Electronic Journal of Differential Equations