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Binary scattering model for Lennard-Jones potential: Transport coefficients and collision integrals for non-equilibrium gas flow simulations
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10.1063/1.3682375
/content/aip/journal/pof2/24/2/10.1063/1.3682375
http://aip.metastore.ingenta.com/content/aip/journal/pof2/24/2/10.1063/1.3682375

Figures

Image of FIG. 1.
FIG. 1.

Comparison of cross sections (a) S (1), (b) S (2), (c) S (3), and (d) S (4) for the LJPA model, exact LJ scattering, and the GSS model.

Image of FIG. 2.
FIG. 2.

Comparison of collision integral (a) W (1)(1) for the LJPA model, exact LJ scattering, and the GSS model along with the (b) corresponding errors.

Image of FIG. 3.
FIG. 3.

Comparison of collision integral (a) W (1)(2) for the LJPA model, exact LJ scattering, and the GSS model along with the (b) corresponding errors.

Image of FIG. 4.
FIG. 4.

Comparison of collision integral (a) W (2)(2) for the LJPA model, exact LJ scattering, and the GSS model along with the (b) corresponding errors.

Image of FIG. 5.
FIG. 5.

Comparison of collision integrals (a) W (2)(4) and (b) W (2)(5) for the LJPA model, exact LJ scattering, and the GSS model.

Image of FIG. 6.
FIG. 6.

Comparison of collision integrals (a) W (3)(1) and (b) W (4)(4) for the LJPA model, exact LJ scattering, and the GSS model

Image of FIG. 7.
FIG. 7.

Comparison of argon (a) viscosity and (b) self-diffusion coefficient using the LJPA model, GSS model, VHS model, and compilation of experiments by Kestin et al. 28

Tables

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Table I.

Comparison of Lennard-Jones potential parameters and mean reduced relative energy at 1000 K for various gases.

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Table II.

Coefficients for computing using Eq. (26).

Generic image for table
Table III.

Coefficients for computing χ in domain 1 (non-glancing, slow):

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Table IV.

Coefficients for computing χ in domain 2 (non-glancing, fast):

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Table V.

Coefficients for computing χ in domain 3 (non-glancing, very fast):

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Table VI.

Coefficients for computing χ in domain 4 (glancing, slow):

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Table VII.

Coefficients for computing χ in domain 5 (glancing, fast):

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Table VIII.

Coefficients for computing χ in domain 6 (glancing, very fast):

Generic image for table
Table IX.

Coefficients for computing χ in domain 7: [0, B*(ε*)] × (20.0, 1000.0].

Generic image for table
Table X.

Comparison of collision integrals obtained using LJPA model with the exact values and those reported in previous works for T* = kTLJ = 0.05, 0.3, 1, 10.

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/content/aip/journal/pof2/24/2/10.1063/1.3682375
2012-02-14
2014-04-19
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752b84549af89a08dbdd7fdb8b9568b5 journal.articlezxybnytfddd
Scitation: Binary scattering model for Lennard-Jones potential: Transport coefficients and collision integrals for non-equilibrium gas flow simulations
http://aip.metastore.ingenta.com/content/aip/journal/pof2/24/2/10.1063/1.3682375
10.1063/1.3682375
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