A note about convected time derivatives for flows of complex fluids

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

doi:10.1039/d3sm00497j

A note about convected time derivatives for flows of complex fluids

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

Technion - Israel Institute of Technology

Research output: Contribution to journal › Article › peer-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 language	English
Pages (from-to)	5353-5359
Number of pages	7
Journal	Soft Matter
Volume	19
Issue number	28
DOIs	https://doi.org/10.1039/d3sm00497j
State	Published - 5 Jul 2023

ASJC Scopus subject areas

General Chemistry
Condensed Matter Physics

Access to Document

10.1039/d3sm00497j

Cite this

@article{e8789c2593b14e53be3562dd32151d59,

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",

volume = "19",

pages = "5353--5359",

number = "28",

}

TY - JOUR

T1 - A note about convected time derivatives for flows of complex fluids

AU - Stone, Howard A.

AU - Shelley, Michael J.

AU - Boyko, Evgeniy

N1 - 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: © 2023 The Royal Society of Chemistry.

PY - 2023/7/5

Y1 - 2023/7/5

N2 - 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.

AB - 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.

UR - https://www.scopus.com/pages/publications/85165296911

U2 - 10.1039/d3sm00497j

DO - 10.1039/d3sm00497j

M3 - Article

C2 - 37404018

SN - 1744-683X

VL - 19

SP - 5353

EP - 5359

JO - Soft Matter

JF - Soft Matter

IS - 28

ER -

A note about convected time derivatives for flows of complex fluids

Abstract

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this