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

5 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.",

author = "Stone, {Howard A.} and Shelley, {Michael J.} and Evgeniy Boyko",

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AU - Boyko, Evgeniy

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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.

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SP - 5353

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JO - Soft matter

JF - Soft matter

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A note about convected time derivatives for flows of complex fluids

Abstract

All Science Journal Classification (ASJC) codes

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