Abstract
This paper describes an implementation of a Boundary Element method to solve a general three-dimensional viscoelastic flow problem. The Boundary Element method is formulated in terms of unknown boundary velocity and traction fields. The fluid is incompressible and is modelled by a differential constitutive equation. The steady-state stress field is obtained by a “time marching” process of integration. For the first time, some results for steady state isothermal creeping flow extrusion of a viscoelastic fluid from triangular and square dies are described. The concept of an “axisymmetric-equivalent swell ratio” is introduced to compare the present results with the results of axisymmetric extrusion studies reported in the literature. It is shown that reasonable agreement is achieved.
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Tran-Cong, T., Phan-Thien, N. Three-dimensional study of extrusion processes by Boundary Element Method.. Rheol Acta 27, 639–648 (1988). https://doi.org/10.1007/BF01337460
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DOI: https://doi.org/10.1007/BF01337460