void ApproxMixTransport::updateViscosity_T()
{
double vratiokj, wratiojk, factor1;
if (!m_spvisc_ok) {
updateSpeciesViscosities();
}
// see Eq. (9-5.15) of Reid, Prausnitz, and Poling
for (size_t ij=0; ij<_kMajor.size(); ij++) {
size_t j = _kMajor[ij];
for (size_t ik=ij; ik<_kMajor.size(); ik++) {
size_t k = _kMajor[ik];
vratiokj = m_visc[k]/m_visc[j];
wratiojk = m_mw[j]/m_mw[k];
// Note that m_wratjk(k,j) holds the square root of
// m_wratjk(j,k)!
factor1 = 1.0 + (m_sqvisc[k]/m_sqvisc[j]) * m_wratjk(k,j);
m_phi(k,j) = factor1*factor1 / (std::sqrt(8.0) * m_wratkj1(j,k));
m_phi(j,k) = m_phi(k,j)/(vratiokj * wratiojk);
}
}
m_viscwt_ok = true;
}
/*
* Updates the array of pure species viscosities, and the weighting functions in the viscosity mixture rule.
* The flag m_visc_ok is set to true.
*
* The formula for the weighting function is from Poling and Prausnitz.
* See Eq. (9-5.14) of Poling, Prausnitz, and O'Connell. The equation for the weighting function
* \f$ \phi_{ij} \f$ is reproduced below.
*
* \f[
* \phi_{ij} = \frac{ \left[ 1 + \left( \mu_i / \mu_j \right)^{1/2} \left( M_j / M_i \right)^{1/4} \right]^2 }
* {\left[ 8 \left( 1 + M_i / M_j \right) \right]^{1/2}}
* \f]
*/
void MixTransport::updateViscosity_T() {
doublereal vratiokj, wratiojk, factor1;
if (!m_spvisc_ok) updateSpeciesViscosities();
// see Eq. (9-5.15) of Reid, Prausnitz, and Poling
int j, k;
for (j = 0; j < m_nsp; j++) {
for (k = j; k < m_nsp; k++) {
vratiokj = m_visc[k]/m_visc[j];
wratiojk = m_mw[j]/m_mw[k];
// Note that m_wratjk(k,j) holds the square root of
// m_wratjk(j,k)!
factor1 = 1.0 + (m_sqvisc[k]/m_sqvisc[j]) * m_wratjk(k,j);
m_phi(k,j) = factor1*factor1 / (SqrtEight * m_wratkj1(j,k));
m_phi(j,k) = m_phi(k,j)/(vratiokj * wratiojk);
}
}
m_viscwt_ok = true;
}