A note about convected time derivatives for flows of complex fluids

Howard A. Stone; Michael J. Shelley; Evgeniy Boyko

doi:10.1039/d3sm00497j

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arXiv · 2304.06449

A note about convected time derivatives for flows of complex fluids

Howard A. Stone·Michael J. Shelley·Evgeniy Boyko

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Abstract

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.

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Howard A. Stone, Michael J. Shelley, Evgeniy Boyko. 2023-04-13. A note about convected time derivatives for flows of complex fluids. https://doi.org/10.1039/d3sm00497j

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