Issue 28, 2023

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.

Graphical abstract: A note about convected time derivatives for flows of complex fluids

Supplementary files

Article information

Article type
Paper
Submitted
13 Apr 2023
Accepted
31 May 2023
First published
05 Jul 2023

Soft Matter, 2023,19, 5353-5359

Author version available

A note about convected time derivatives for flows of complex fluids

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

To request permission to reproduce material from this article, please go to the Copyright Clearance Center request page.

If you are an author contributing to an RSC publication, you do not need to request permission provided correct acknowledgement is given.

If you are the author of this article, you do not need to request permission to reproduce figures and diagrams provided correct acknowledgement is given. If you want to reproduce the whole article in a third-party publication (excluding your thesis/dissertation for which permission is not required) please go to the Copyright Clearance Center request page.

Read more about how to correctly acknowledge RSC content.

Social activity

Spotlight

Advertisements