An improved boundary element method for analysis of profile polymer extrusion

Nguyen-Thien, T. and Tran-Cong, T. and Phan-Thien, N. (1997) An improved boundary element method for analysis of profile polymer extrusion. Engineering Analysis with Boundary Elements, 20 (1). pp. 81-89. ISSN 0955-7997

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An improved boundary element method for non-linear viscoelastic flow analysis is reported. In this method, the domain integral representing the non-linear effects is calculated using a more efficient approximating technique. This is achieved by first transforming the domain integral into a form that can be approximated by particular solutions to the original problem. These particular solutions are in fact expressed as a linear combination of radial basis functions, whose coefficients are found by data fitting technique. As a result, the numerical computation of the volume integral is eliminated and a significant reduction of CPU time is achieved. The routines are tested with simple flows and then applied to solve complex three-dimensional direct and inverse extrusion problems of polymeric fluids, such as thermoplastic melts. Inverse extrusion process, where an extrusion die profile needs to be computed for a given profile extrudate, is a very important practical engineering application which is successfully analysed by the present method. Relative to a previous BEM implementation where the volume integral is computed directly using numerical quadratures, a CPU time reduction ranging from 40 to 70% is achieved.

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Item Type: Article (Commonwealth Reporting Category C)
Refereed: Yes
Item Status: Live Archive
Additional Information: © 1997 Elsevier Science Ltd. Published version deposited in accordance with the copyright policy of the publisher.
Faculty / Department / School: Historic - Faculty of Engineering and Surveying - No Department
Date Deposited: 30 Nov 2007 11:47
Last Modified: 22 Oct 2013 01:41
Uncontrolled Keywords: boundary element method; domain integral transformation; particular solution; profile polymer extrusion
Fields of Research : 01 Mathematical Sciences > 0102 Applied Mathematics > 010201 Approximation Theory and Asymptotic Methods
03 Chemical Sciences > 0301 Analytical Chemistry > 030103 Flow Analysis
09 Engineering > 0915 Interdisciplinary Engineering > 091504 Fluidisation and Fluid Mechanics
Socio-Economic Objective: E Expanding Knowledge > 97 Expanding Knowledge > 970109 Expanding Knowledge in Engineering

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