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.
H. A. Stone, M. J. Shelley and E. Boyko, Soft Matter, 2023, 19, 5353 DOI: 10.1039/D3SM00497J
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