Analysis of stagnation point flow of an upper-convected Maxwell fluid

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dc.contributor.authorPaullet, Joseph
dc.date.accessioned2022-09-26T20:44:17Z
dc.date.available2022-09-26T20:44:17Z
dc.date.issued2017-12-06
dc.description.abstractSeveral recent papers have investigated the two-dimensional stagnation point flow of an upper-convected Maxwell fluid by employing a similarity change of variable to reduce the governing PDEs to a nonlinear third order ODE boundary value problem (BVP). In these previous works, the BVP was studied numerically and several conjectures regarding the existence and behavior of the solutions were made. The purpose of this article is to mathematically verify these conjectures. We prove the existence of a solution to the BVP for all relevant values of the elasticity parameter. We also prove that this solution has monotonically increasing first derivative, thus verifying the conjecture that no ``overshoot'' of the boundary condition occurs. Uniqueness results are presented for a large range of parameter space and bounds on the skin friction coefficient are calculated.
dc.description.departmentMathematics
dc.formatText
dc.format.extent14 pages
dc.format.medium1 file (.pdf)
dc.identifier.citationPaullet, J. (2017). Analysis of stagnation point flow of an upper-convected Maxwell fluid. <i>Electronic Journal of Differential Equations, 2017</i>(302), pp. 1-14.
dc.identifier.issn1072-6691
dc.identifier.urihttps://hdl.handle.net/10877/16174
dc.language.isoen
dc.publisherTexas State University, Department of Mathematics
dc.rightsAttribution 4.0 International
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/
dc.sourceElectronic Journal of Differential Equations, 2017, San Marcos, Texas: Texas State University and University of North Texas.
dc.subjectStagnation point
dc.subjectBoundary value problem
dc.subjectUpper-convected Maxwell model
dc.titleAnalysis of stagnation point flow of an upper-convected Maxwell fluid
dc.typeArticle

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