Computing non-Newtonian fluid flow with radial basis function networks

Mai-Duy, N. and Tanner, R. I. (2005) Computing non-Newtonian fluid flow with radial basis function networks. International Journal for Numerical Methods in Fluids, 48 (12). pp. 1309-1336. ISSN 0271-2091

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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.

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Item Type: Article (Commonwealth Reporting Category C)
Refereed: Yes
Item Status: Live Archive
Additional Information: Deposited in accordance with the copyright policy of the publisher.
Faculty / Department / School: Historic - Faculty of Engineering and Surveying - Department of Mechanical and Mechatronic Engineering
Date Deposited: 11 Oct 2007 01:14
Last Modified: 02 Jul 2013 22:46
Uncontrolled Keywords: radial basis function network; non-Newtonian fluid; straight duct; secondary flow; undulating tube
Fields of Research : 09 Engineering > 0913 Mechanical Engineering > 091399 Mechanical Engineering not elsewhere classified
09 Engineering > 0915 Interdisciplinary Engineering > 091501 Computational Fluid Dynamics
01 Mathematical Sciences > 0101 Pure Mathematics > 010109 Ordinary Differential Equations, Difference Equations and Dynamical Systems
Socio-Economic Objective: E Expanding Knowledge > 97 Expanding Knowledge > 970109 Expanding Knowledge in Engineering
Identification Number or DOI: 10.1002/fld.977

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