English

A note about convected time derivatives for flows of complex fluids

Fluid Dynamics 2024-01-12 v1

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.

Keywords

Cite

@article{arxiv.2304.06449,
  title  = {A note about convected time derivatives for flows of complex fluids},
  author = {Howard A. Stone and Michael J. Shelley and Evgeniy Boyko},
  journal= {arXiv preprint arXiv:2304.06449},
  year   = {2024}
}

Comments

1 figure

R2 v1 2026-06-28T10:04:17.843Z