foam-extend4.1-coherent-io/tutorials/viscoelastic/viscoelasticFluidFoam/XPP_SE/constant/viscoelasticProperties

/*--------------------------------*- C++ -*----------------------------------*\
| =========                 |                                                 |
| \\      /  F ield         | foam-extend: Open Source CFD                    |
|  \\    /   O peration     | Version:     4.1                                |
|   \\  /    A nd           | Web:         http://www.foam-extend.org         |
|    \\/     M anipulation  |                                                 |
\*---------------------------------------------------------------------------*/
FoamFile
{
    version     2.0;
    format      ascii;
    class       dictionary;
    object      viscoelasticProperties;
}
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/*
From:
VERBEETEN,W. M. H.; PETERS, G.W. M.; BAAIJENS, F. P. T. Differential constitutive
equations for polymer melts: The extended pom-pom model. Journal of Rheology,
SOR, v. 45, n. 4, p. 823-843, 2001.

BASF Lupolen 1810H LDPE melt

TABLE III. XPP parameters for fitting of the Lupolen 1810H melt.
Tr = 150 <20>C, ni = 2/q, Activation energy: E0 = 58.6 kJ/mol.

Maxwell parameters       XPP model
i G0i (Pa)    l0bi(s)    qi  l0bi/l0si ai
1 2.1662e4    1.0000e-1  1     3.5     0.350
2 9.9545e3    6.3096e-1  2     3.0     0.300
3 3.7775e3    3.9811e0   3     2.8     0.250
4 9.6955e2    2.5119e1   7     2.8     0.200
5 1.1834e2    1.5849e2   8     1.5     0.100
6 4.1614e0    1.0000e3   37    1.5     0.005
*/

rheology
{
    type multiMode;

    models
    (

        first
        {
            type XPP-SE;
            rho              rho [1 -3 0 0 0 0 0] 850;
            etaS             etaS [1 -1 -1 0 0 0 0] 0.0;
            etaP             etaP [1 -1 -1 0 0 0 0] 2166.2;
            lambdaOb         lambdaOb [0 0 1 0 0 0 0] 1.0e-1;
            lambdaOs         lambdaOs [0 0 1 0 0 0 0] 0.0285714;
            alpha            alpha [0 0 0 0 0 0 0] 0.35;
            q                q [0 0 0 0 0 0 0] 1;
        }

        second
        {
            type XPP-SE;
            rho              rho [1 -3 0 0 0 0 0] 850;
            etaS             etaS [1 -1 -1 0 0 0 0] 0.0;
            etaP             etaP [1 -1 -1 0 0 0 0] 6280.8913;
            lambdaOb         lambdaOb [0 0 1 0 0 0 0] 6.3096e-1;
            lambdaOs         lambdaOs [0 0 1 0 0 0 0] 0.21032;
            alpha            alpha [0 0 0 0 0 0 0] 0.3;
            q                q [0 0 0 0 0 0 0] 2;
        }

        third
        {
            type XPP-SE;
            rho              rho [1 -3 0 0 0 0 0] 850;
            etaS             etaS [1 -1 -1 0 0 0 0] 0.0;
            etaP             etaP [1 -1 -1 0 0 0 0] 15038.605;
            lambdaOb         lambdaOb [0 0 1 0 0 0 0] 3.9811e0;
            lambdaOs         lambdaOs [0 0 1 0 0 0 0] 1.4218214;
            alpha            alpha [0 0 0 0 0 0 0] 0.25;
            q                q [0 0 0 0 0 0 0] 3;
        }

        fourth
        {
            type XPP-SE;
            rho              rho [1 -3 0 0 0 0 0] 850;
            etaS             etaS [1 -1 -1 0 0 0 0] 0.0;
            etaP             etaP [1 -1 -1 0 0 0 0] 24354.126;
            lambdaOb         lambdaOb [0 0 1 0 0 0 0] 2.5119e1;
            lambdaOs         lambdaOs [0 0 1 0 0 0 0] 8.9710714;
            alpha            alpha [0 0 0 0 0 0 0] 0.2;
            q                q [0 0 0 0 0 0 0] 7;
        }

        fifth
        {
            type XPP-SE;
            rho              rho [1 -3 0 0 0 0 0] 850;
            etaS             etaS [1 -1 -1 0 0 0 0] 0.0;
            etaP             etaP [1 -1 -1 0 0 0 0] 18755.707;
            lambdaOb         lambdaOb [0 0 1 0 0 0 0] 1.5849e2;
            lambdaOs         lambdaOs [0 0 1 0 0 0 0] 105.66;
            alpha            alpha [0 0 0 0 0 0 0] 0.1;
            q                q [0 0 0 0 0 0 0] 8;
        }

        sixth
        {
            type XPP-SE;
            rho              rho [1 -3 0 0 0 0 0] 850;
            etaS             etaS [1 -1 -1 0 0 0 0] 0.0;
            etaP             etaP [1 -1 -1 0 0 0 0] 4161.4;
            lambdaOb         lambdaOb [0 0 1 0 0 0 0] 1.0e3;
            lambdaOs         lambdaOs [0 0 1 0 0 0 0] 666.66667;
            alpha            alpha [0 0 0 0 0 0 0] 0.005;
            q                q [0 0 0 0 0 0 0] 37;
        }
    );
}


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