ALE finite volume method for free-surface Bingham plastic fluids with general curvilinear coordinates
A numerical prediction method has been proposed to predict Bingham plastic fluids with free-surface in a two-dimensional container. Since the linear relationships between stress tensors and strain rate tensors are not assumed for non-Newtonian fluids, the liquid motions are described with Cauchy mom...
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Published in | IOP conference series. Materials Science and Engineering Vol. 10; no. 1; p. 012022 |
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Main Authors | , |
Format | Journal Article |
Language | English |
Published |
Bristol
IOP Publishing
01.06.2010
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Subjects | |
Online Access | Get full text |
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Summary: | A numerical prediction method has been proposed to predict Bingham plastic fluids with free-surface in a two-dimensional container. Since the linear relationships between stress tensors and strain rate tensors are not assumed for non-Newtonian fluids, the liquid motions are described with Cauchy momentum equations rather than Navier-Stokes equations. The profile of a liquid surface is represented with the two-dimensional curvilinear coordinates which are represented in each computational step on the basis of the arbitrary Lagrangian-Eulerian (ALE) method. Since the volumes of the fluid cells are transiently changed in the physical space, the geometric conservation law is applied to the finite volume discretizations. As a result, it has been shown that the present method enables us to predict reasonably the Bingham plastic fluids with free-surface in a container. |
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Bibliography: | ObjectType-Article-2 SourceType-Scholarly Journals-1 ObjectType-Feature-1 content type line 23 |
ISSN: | 1757-899X 1757-8981 1757-899X |
DOI: | 10.1088/1757-899X/10/1/012022 |