Open AccessSemi-analytical solution for the problem of extended Pom-Pom fluid flow in a round pipe
Author(s) -
А. И. Кадыйров,
Е. К. Вачагина
Publication year - 2021
Publication title -
journal of physics. conference series
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 85
eISSN - 1742-6596
pISSN - 1742-6588
DOI - 10.1088/1742-6596/2057/1/012007
Subject(s) - weissenberg number , mechanics , flow (mathematics) , viscoelasticity , rheology , parametric statistics , fluid dynamics , steady state (chemistry) , mathematics , mathematical analysis , materials science , thermodynamics , physics , chemistry , statistics
A semi-analytical solution to the problem of the steady flow of viscoelastic single equation eXended Pom-Pom (XPP) fluid in a round pipe using the four-mode rheological equation of state of XPP is presented. An original parametric method for solving the set problem is used. The resulting method is applicable for solving a similar problem in a flat slit. The developed solution method is tested by comparing it with numerical results and experimental data. Using a polyacrylamide solution as an example, the influence of the Weissenberg number on the axial velocity profiles and the components of normal stresses is studied.