A note about convected time derivatives for flows of complex fluids

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

Research output: Contribution to journalArticlepeer-review

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.

Original languageEnglish (US)
Pages (from-to)5353-5359
Number of pages7
JournalSoft Matter
Volume19
Issue number28
DOIs
StatePublished - Jul 5 2023

ASJC Scopus subject areas

  • Chemistry(all)
  • Condensed Matter Physics

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