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A constitutive framework for the non-Newtonian pressure tensor of a simple fluid under planar flows
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10.1063/1.4810746
/content/aip/journal/jcp/138/24/10.1063/1.4810746
http://aip.metastore.ingenta.com/content/aip/journal/jcp/138/24/10.1063/1.4810746
View: Figures

Figures

Image of FIG. 1.
FIG. 1.

NEMD simulation data of the shear stress (a) and first normal stress difference (b) for a fluid under shear (PCF), elongation (PEF), and planar mixed flow (PMF) compared to the prediction of the second-order fluid (SOF) model (ρ = 0.8442, = 0.722).

Image of FIG. 2.
FIG. 2.

Viscosity of a WCA fluid under shear (PCF), elongation (PEF), and mixed flow (PMF) at state point ρ = 0.8442, = 0.722. The data are fitted with a Carreau model, and the equilibrium viscosity η and a kinetic theory prediction are shown at = 0. The inset contains the same data as a semi-log plot.

Image of FIG. 3.
FIG. 3.

Pressure (a) and eigenvalues of the deviatoric pressure tensor (b) as a function of the magnitude of the strain rate tensor (ρ = 0.8442, = 0.722). The inset in (a) gives the proportionality between and in a logarithmic graph, error bars give the standard error and the dashed line is the fit of the pressure dilatancy.

Image of FIG. 4.
FIG. 4.

The parameter as a function of the magnitude of the strain rate tensor (ρ = 0.8442, = 0.722). The inset shows the normalized anisotropy of the pressure tensor.

Image of FIG. 5.
FIG. 5.

Principal orientation angles (a) as a function of the magnitude of the strain rate tensor (ρ = 0.8442, = 0.722), the inset shows the lag angle. In (b), the lag angle is scaled by the vorticity ω, such that the data collapse onto a single profile.

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/content/aip/journal/jcp/138/24/10.1063/1.4810746
2013-06-27
2014-04-21
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752b84549af89a08dbdd7fdb8b9568b5 journal.articlezxybnytfddd
Scitation: A constitutive framework for the non-Newtonian pressure tensor of a simple fluid under planar flows
http://aip.metastore.ingenta.com/content/aip/journal/jcp/138/24/10.1063/1.4810746
10.1063/1.4810746
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