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Analysis of incompressible three-dimensional flows using the concept of stream tubes in relation with a transformation of the physical domain

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Abstract

This paper presents an analysis of three-dimensional flows based on the concept of stream tubes and streamlines. In the case of incompressible liquids, the physical domain can be transformed, under certain assumptions, into a cylinder where the streamlines are parallel straight lines. In contrast to classical methods, the unknown to be determined is the transformation between the two domains. This analysis generalizes the formulation already proposed for plane and axisymmetric flows.

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Clermont, J.R. Analysis of incompressible three-dimensional flows using the concept of stream tubes in relation with a transformation of the physical domain. Rheol Acta 27, 357–362 (1988). https://doi.org/10.1007/BF01332156

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  • DOI: https://doi.org/10.1007/BF01332156

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