Flow Dynamics of PTT and FENE-P Viscoelastic Fluids in Circular and Flat Ducts: An Analytical Study

Autor: Salah Latreche, Mohamed R. Eid, Mohamed Rafik Sari, Mohamed Kezzar
Rok vydání: 2021
Předmět:
Zdroj: Arabian Journal for Science and Engineering. 46:2783-2792
ISSN: 2191-4281
2193-567X
DOI: 10.1007/s13369-020-05307-7
Popis: The main aim of this research work is to establish, under fully developed conditions, an analytical solution for viscoelastic fluids flow obeying the constitutive Phan–Thien–Tanner (PTT) and Finely Extensible Nonlinear Elastic-Peterlin (FENE-P) models. In fact, a unified formulation for laminar, stationary and fully developed flow in the cases of circular and flat ducts geometries is obtained for velocity profile involving PTT and FENE-P models. In this investigation, the effect of pressure gradient on velocity profile, shear stress, shear rate and shear viscosity is explored. Effects of pressure gradient and Weissenberg number on normal stress are also studied and discussed.
Databáze: OpenAIRE
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