@article{6e9d7a04b11f45779ef9f3eb2d4da7fb,
title = "A note about convected time derivatives for flows of complex fluids",
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.",
author = "Stone, {Howard A.} and Shelley, {Michael J.} and Evgeniy Boyko",
note = "Funding Information: H. A. S. acknowledges the support from grant no. CBET-2246791 from the United States National Science Foundation (NSF) and partial support from NSF through Princeton University's Materials Research Science and Engineering Center DMR-2011750. M. J. S. acknowledges support from NSF grant DMR-2004469. E. B. acknowledges the support by grant no. 2022688 from the US-Israel Binational Science Foundation (BSF). We thank Jens Eggers, Tannie Liverpool, and Alex Mietke for their helpful feedback. Publisher Copyright: {\textcopyright} 2023 The Royal Society of Chemistry.",
year = "2023",
month = jul,
day = "5",
doi = "10.1039/d3sm00497j",
language = "English (US)",
volume = "19",
pages = "5353--5359",
journal = "Soft matter",
issn = "1744-683X",
publisher = "Royal Society of Chemistry",
number = "28",
}