A free-boundary problem for viscous fluid flow in injection moulding

J.C.W. Vroonhoven, van; W.J.J. Kuijpers

doi:10.1007/BF00129871

A free-boundary problem for viscous fluid flow in injection moulding

J.C.W. Vroonhoven, van, W.J.J. Kuijpers

Mathematics and Computer Science

Research output: Contribution to journal › Article › Academic › peer-review

8 Citations (Scopus)

Abstract

The injection of a viscous fluid into a mould formed by two parallel plates is considered. The flow front is supposed to move at constant speed. It is assumed that there is complete adherence between the fluid and the mould walls, and that the environmental pressure is constant. For a Newtonian fluid the problem is described in terms of two analytic complex functions. The shape of the fluid surface is calculated by means of a conformal-mapping technique, which leads to a Hilbert problem. The results are compared with known finite-element simulations.

Original language	English
Pages (from-to)	151-165
Number of pages	15
Journal	Journal of Engineering Mathematics
Volume	24
Issue number	2
DOIs	https://doi.org/10.1007/BF00129871
Publication status	Published - 1990

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title = "A free-boundary problem for viscous fluid flow in injection moulding",

abstract = "The injection of a viscous fluid into a mould formed by two parallel plates is considered. The flow front is supposed to move at constant speed. It is assumed that there is complete adherence between the fluid and the mould walls, and that the environmental pressure is constant. For a Newtonian fluid the problem is described in terms of two analytic complex functions. The shape of the fluid surface is calculated by means of a conformal-mapping technique, which leads to a Hilbert problem. The results are compared with known finite-element simulations.",

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AB - The injection of a viscous fluid into a mould formed by two parallel plates is considered. The flow front is supposed to move at constant speed. It is assumed that there is complete adherence between the fluid and the mould walls, and that the environmental pressure is constant. For a Newtonian fluid the problem is described in terms of two analytic complex functions. The shape of the fluid surface is calculated by means of a conformal-mapping technique, which leads to a Hilbert problem. The results are compared with known finite-element simulations.

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JO - Journal of Engineering Mathematics

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A free-boundary problem for viscous fluid flow in injection moulding

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