A general formulation of the reversible stress tensor for a nonlocal fluid

Jiujiang Zhu, John W. Crawford, John W. Palfreyman

Research output: Contribution to journal › Article

2 Citations (Scopus)

Abstract

The nonlocal stress tensor is an indispensable constitutive equation required to close the thermodynamic system of nonlocal fluid dynamics. A nonlocal functional variational principle is employed to derive a general expression for the thermodynamically reversible stress tensor for a two-phase, single component, nonlocal fluid. The Euler–Lagrange equation and Noether’s current are used to obtain the general form of the stress tensor, which is then used to derive a wide range of functional forms found in the literature. We also clarify some existing ambiguities. The general form of the nonlocal stress tensor is able to represent micro scale intermolecular interactions, and provides an efficient mesoscale numerical tool for multi-scale analysis using Lattice Boltzmann simulation.
Original languageEnglish
Pages (from-to)124-134
Number of pages11
JournalInternational Journal of Engineering Science
Volume70
Early online date29 May 2013
DOIs
Publication statusPublished - Sep 2013

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stress tensors
formulations
fluids
constitutive equations
fluid dynamics
variational principles
ambiguity
thermodynamics
simulation
interactions

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Zhu, Jiujiang ; Crawford, John W. ; Palfreyman, John W. / A general formulation of the reversible stress tensor for a nonlocal fluid. In: International Journal of Engineering Science. 2013 ; Vol. 70. pp. 124-134.
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Zhu, J, Crawford, JW & Palfreyman, JW 2013, 'A general formulation of the reversible stress tensor for a nonlocal fluid', International Journal of Engineering Science, vol. 70, pp. 124-134. https://doi.org/10.1016/j.ijengsci.2013.03.014

A general formulation of the reversible stress tensor for a nonlocal fluid. / Zhu, Jiujiang; Crawford, John W.; Palfreyman, John W.

In: International Journal of Engineering Science, Vol. 70, 09.2013, p. 124-134.

Research output: Contribution to journal › Article

TY - JOUR

T1 - A general formulation of the reversible stress tensor for a nonlocal fluid

AU - Zhu, Jiujiang

AU - Crawford, John W.

AU - Palfreyman, John W.

PY - 2013/9

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N2 - The nonlocal stress tensor is an indispensable constitutive equation required to close the thermodynamic system of nonlocal fluid dynamics. A nonlocal functional variational principle is employed to derive a general expression for the thermodynamically reversible stress tensor for a two-phase, single component, nonlocal fluid. The Euler–Lagrange equation and Noether’s current are used to obtain the general form of the stress tensor, which is then used to derive a wide range of functional forms found in the literature. We also clarify some existing ambiguities. The general form of the nonlocal stress tensor is able to represent micro scale intermolecular interactions, and provides an efficient mesoscale numerical tool for multi-scale analysis using Lattice Boltzmann simulation.

AB - The nonlocal stress tensor is an indispensable constitutive equation required to close the thermodynamic system of nonlocal fluid dynamics. A nonlocal functional variational principle is employed to derive a general expression for the thermodynamically reversible stress tensor for a two-phase, single component, nonlocal fluid. The Euler–Lagrange equation and Noether’s current are used to obtain the general form of the stress tensor, which is then used to derive a wide range of functional forms found in the literature. We also clarify some existing ambiguities. The general form of the nonlocal stress tensor is able to represent micro scale intermolecular interactions, and provides an efficient mesoscale numerical tool for multi-scale analysis using Lattice Boltzmann simulation.

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DO - 10.1016/j.ijengsci.2013.03.014

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JO - International Journal of Engineering Science

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Zhu J, Crawford JW, Palfreyman JW. A general formulation of the reversible stress tensor for a nonlocal fluid. International Journal of Engineering Science. 2013 Sep;70:124-134. https://doi.org/10.1016/j.ijengsci.2013.03.014

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