Computing non-Newtonian fluid flow with radial basis function networks
Article
Article Title | Computing non-Newtonian fluid flow with radial basis function networks |
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ERA Journal ID | 188 |
Article Category | Article |
Authors | Mai-Duy, N. (Author) and Tanner, R. I. (Author) |
Journal Title | International Journal for Numerical Methods in Fluids |
Journal Citation | 48 (12), pp. 1309-1336 |
Number of Pages | 28 |
Year | 2005 |
Place of Publication | Bognor Regis, West Sussex. United Kingdom |
ISSN | 0271-2091 |
1097-0363 | |
Digital Object Identifier (DOI) | https://doi.org/10.1002/fld.977 |
Web Address (URL) | http://www3.interscience.wiley.com/cgi-bin/fulltext/110471518/PDFSTART |
Abstract | 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. |
Keywords | radial basis function network; non-Newtonian fluid; straight duct; secondary flow; undulating tube |
ANZSRC Field of Research 2020 | 401799. Mechanical engineering not elsewhere classified |
401204. Computational methods in fluid flow, heat and mass transfer (incl. computational fluid dynamics) | |
490409. Ordinary differential equations, difference equations and dynamical systems | |
Public Notes | File reproduced in accordance with the copyright policy of the publisher/author. |
Byline Affiliations | University of Sydney |
https://research.usq.edu.au/item/9y41z/computing-non-newtonian-fluid-flow-with-radial-basis-function-networks
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