Analytical approximation to the flow of a sPTT fluid through a planar hyperbolic contraction
| Autor: | Karen Y. Pérez-Salas, S. Sánchez, Gabriel Ascanio, J.P. Aguayo |
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| Rok vydání: | 2019 |
| Předmět: |
Pressure drop
Approximation theory 010304 chemical physics Applied Mathematics Mechanical Engineering General Chemical Engineering Weak solution Mathematical analysis Finite difference Context (language use) Condensed Matter Physics 01 natural sciences 010305 fluids & plasmas Physics::Fluid Dynamics symbols.namesake Flow (mathematics) 0103 physical sciences Taylor series symbols General Materials Science Contraction (operator theory) Mathematics |
| Zdroj: | Journal of Non-Newtonian Fluid Mechanics. 272:104160 |
| ISSN: | 0377-0257 |
| Popis: | The flow of a viscoelastic model fluid through a planar hyperbolic contraction is studied in the present work. Due to the non-constant flow area, pressure drop and velocity profiles for such a flow are obtained using the appropriate criteria based on the lubrication approximation theory. In this context, the non-Newtonian behavior is represented by the simplified Phan-Thien/Tanner model. As the main result from this work, a generalized solution for the flow field is determined, which is tested here for a hyperbolic contraction, but it can be applied for a variety of geometries by replacing the corresponding function giving the flow area. The resulting profiles are compared with a finite differences numerical scheme, showing a good agreement. In addition, the apparent extensional rate for a hyperbolic contraction device is also approximated by the solution presented here and, a generalization of the analytic solution in terms of Taylor series which allows representing non-linear versions of the Phan-Thien/Tanner model is included. |
| Databáze: | OpenAIRE |
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