Three-Dimensional Finite Element Analyses for a Maxwell Fluid Using the Penalty Function Method

Takeo Shiojima and Yoji Shimazaki
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Takeo Shiojima: Idemitsu Petrochemical Co.,Ltd
Yoji Shimazaki: Tokai University

Chapter D37/1 in Numerical Techniques for Engineering Analysis and Design, 1987, pp 321-328 from Springer

Abstract: Summary The penalty function formulation of the three-dimensional finite element method is applied for analyzing the extrudate swells of a Maxwell fluid. The momentum and the constitutive equations are solved separately until the convergence is achieved, in which the standard Galerkin’s method is applied to solve the velocity and the tangential extra-stresses, and the least square finite element method is applied to the normal extra-stresses.

Keywords: Finite Element Method; Weissenberg Number; Maxwell Fluid; Extrudate Swell; Upper Convect Maxwell Fluid (search for similar items in EconPapers)
Date: 1987
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-94-009-3653-9_37

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DOI: 10.1007/978-94-009-3653-9_37

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