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

Research output: Contribution to journal › Article › peer-review

11 Scopus citations

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 (US)
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 - Jul 5 2023

All Science Journal Classification (ASJC) codes

General Chemistry
Condensed Matter Physics

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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.",

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doi = "10.1039/d3sm00497j",

language = "English (US)",

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AU - Stone, Howard A.

AU - Shelley, Michael J.

AU - Boyko, Evgeniy

PY - 2023/7/5

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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

UR - https://www.scopus.com/inward/citedby.url?scp=85165296911&partnerID=8YFLogxK

U2 - 10.1039/d3sm00497j

DO - 10.1039/d3sm00497j

M3 - Article

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AN - SCOPUS:85165296911

SN - 1744-683X

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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

All Science Journal Classification (ASJC) codes

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