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- W2971524613 abstract "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." @default.
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- W2971524613 date "2019-10-01" @default.
- W2971524613 modified "2023-10-15" @default.
- W2971524613 title "Analytical approximation to the flow of a sPTT fluid through a planar hyperbolic contraction" @default.
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- W2971524613 doi "https://doi.org/10.1016/j.jnnfm.2019.104160" @default.
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