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Computing non‐Newtonian fluid flow with radial basis function networks
Author(s) -
MaiDuy N.,
Tanner R. I.
Publication year - 2005
Publication title -
international journal for numerical methods in fluids
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.938
H-Index - 112
eISSN - 1097-0363
pISSN - 0271-2091
DOI - 10.1002/fld.977
Subject(s) - discretization , newtonian fluid , generalized newtonian fluid , non newtonian fluid , mathematics , power law fluid , rotational symmetry , collocation method , computation , flow (mathematics) , ordinary differential equation , calculus (dental) , mechanics , differential equation , mathematical analysis , physics , geometry , algorithm , shear rate , medicine , dentistry , quantum mechanics , viscosity
This paper is concerned with the application of radial basis function networks (RBFNs) for solving non‐Newtonian fluid flow problems. Indirect RBFNs, which are based on an integration process, are employed to represent the solution variables; the governing differential equations are discretized by means of point collocation. To enhance numerical stability, stress‐splitting techniques are utilized. The proposed method is verified through the computation of the rectilinear and non‐rectilinear flows in a straight duct and the axisymmetric flow in an undulating tube using Newtonian, power‐law, Criminale–Ericksen–Filbey (CEF) and Oldroyd‐B models. The obtained results are in good agreement with the analytic and benchmark solutions. Copyright © 2005 John Wiley & Sons, Ltd.