A note about convected time derivatives for flows of complex fluids

Fuente: arXiv
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Auteurs principaux: Stone, Howard A., Shelley, Michael J., Boyko, Evgeniy
Format: Preprint
Publié: 2023
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author Stone, Howard A.
Shelley, Michael J.
Boyko, Evgeniy
author_facet Stone, Howard A.
Shelley, Michael J.
Boyko, Evgeniy
contents We present a direct derivation of the typical time derivatives used in a continuum description of complex fluid flows, harnessing the principles of the kinematics of line elements. The evolution of the microstructural conformation tensor in a flow and the physical interpretation of different derivatives then follow naturally.
format Preprint
id arxiv_https___arxiv_org_abs_2304_06449
institution arXiv
publishDate 2023
record_format arxiv
spellingShingle A note about convected time derivatives for flows of complex fluids
Stone, Howard A.
Shelley, Michael J.
Boyko, Evgeniy
Fluid Dynamics
We present a direct derivation of the typical time derivatives used in a continuum description of complex fluid flows, harnessing the principles of the kinematics of line elements. The evolution of the microstructural conformation tensor in a flow and the physical interpretation of different derivatives then follow naturally.
title A note about convected time derivatives for flows of complex fluids
topic Fluid Dynamics
url https://arxiv.org/abs/2304.06449