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CoolProp 6.8.1dev
An open-source fluid property and humid air property database
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Definition at line 8 of file TransportRoutines.h.
#include <TransportRoutines.h>
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Definition at line 313 of file TransportRoutines.cpp.
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Definition at line 343 of file TransportRoutines.cpp.
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Definition at line 596 of file TransportRoutines.cpp.
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The dilute gas viscosity term that is based on collision integral or effective cross section.
\[ \eta^0 = \displaystyle\frac{A\sqrt{MT}}{\sigma^2\mathfrak{S}(T^*)} \]
\[ \mathfrak{S}(T^*)=\exp\left(\sum_ia_i[\ln T^*]^{t_i}\right) \]
with \(T^* = \frac{T}{\varepsilon/k}\) and \(\sigma\) in nm, M is in kg/kmol. Yields viscosity in Pa-s.
Both the collision integral \(\mathfrak{S}^*\) and effective cross section \(\Omega^{(2,2)}\) have the same form, in general we don't care which is used. The are related through \(\Omega^{(2,2)} = (5/4)\mathfrak{S}^*\) see Vesovic(JPCRD, 1990) for CO \(_2\) for further information
Definition at line 26 of file TransportRoutines.cpp.
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Definition at line 85 of file TransportRoutines.cpp.
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Definition at line 589 of file TransportRoutines.cpp.
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Definition at line 577 of file TransportRoutines.cpp.
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The general dilute gas viscosity from used for ECS.
\[ \eta^0 = \displaystyle\frac{26.692\times 10^{-9}\sqrt{MT}}{\sigma^2\Omega^{(2,2)}(T^*)} \]
\[ \Omega^{(2,2)}(T^*)=1.16145(T^*)^{-0.14874}+0.52487\exp(-0.77320T^*)+2.16178\exp(-2.43787T^*) \]
with \(T^* = \frac{T}{\varepsilon/k}\) and \(\sigma\) in nm, M is in kg/kmol. Yields viscosity in Pa-s.
Definition at line 7 of file TransportRoutines.cpp.
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A dilute gas viscosity term formed of summation of power terms.
\[ \eta^0 = \displaystyle\sum_ia_iT^{t_i} \]
with T in K, \(\eta^0\) in Pa-s
Definition at line 55 of file TransportRoutines.cpp.
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A dilute gas viscosity term formed of summation of power terms of the reduced temperature.
\[ \eta^0 = \displaystyle\sum_ia_i(T/T_c)^{t_i} \]
with T in K, \(\eta^0\) in Pa-s
Definition at line 70 of file TransportRoutines.cpp.
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Definition at line 610 of file TransportRoutines.cpp.
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Definition at line 233 of file TransportRoutines.cpp.
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Definition at line 399 of file TransportRoutines.cpp.
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From Michailidou-JPCRD-2014-Heptane
Definition at line 332 of file TransportRoutines.cpp.
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Definition at line 320 of file TransportRoutines.cpp.
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The modified Batschinski-Hildebrand contribution to the viscosity.
\[ \Delta\eta = \displaystyle\sum_{i}a_{i}\delta^{d1_i}\tau^{t1_j}\exp(\gamma_i\delta^{l_i})+\left(\displaystyle\sum_{i}f_i\delta^{d2_i}\tau^{t2_i}\right)\left(\frac{1}{\delta_0(\tau)-\delta}-\frac{1}{\delta_0(\tau)}\right) \]
where \(\tau = T_c/T\) and \(\delta = \rho/\rho_c\)
\[ \delta_0(\tau) = \displaystyle\frac{\displaystyle\sum_{i}g_i\tau^{h_i}}{\displaystyle\sum_{i}p_i\tau^{q_i}} \]
The more general form of \(\delta_0(\tau)\) is selected in order to be able to handle all the forms in the literature
Definition at line 101 of file TransportRoutines.cpp.
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Definition at line 308 of file TransportRoutines.cpp.
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An empirical form for the initial density dependence.
Given by the polynomial-like form
\[ \eta^1 = \sum_i n_i\delta^{d_i}\tau^{t_i} \]
where the output is in Pa-s
Definition at line 160 of file TransportRoutines.cpp.
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The initial density dependence term \(B_{\eta}\) from Rainwater-Friend theory.
The total contribution from this term is given by
\[ \eta_{RF} = \eta_0B_{\eta}\rho \]
where \(\eta_0\) is the dilute gas viscosity in Pa-s and \(\rho\) is the molar density in mol/m \(^3\) and \(B_{\eta}\) is in m^3/mol.
\[ B_{\eta}(T) = B_{\eta}^*(T^*)N_A\sigma_{\eta}^3 \]
where \(N_A\) is Avogadros number \(6.022\times 10^{23}\) mol \(^{-1}\) and \(\sigma_{\eta}\) is in m.
\[ B_{\eta}^*(T^*) = \displaystyle\sum_ib_i(T^*)^{t_i} \]
IMPORTANT: This function returns \(B_{\eta}\), not \(\eta_{RF}\)
Definition at line 138 of file TransportRoutines.cpp.
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Definition at line 537 of file TransportRoutines.cpp.
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Viscosity hardcoded for Methanol.
From Xiang et al., A New Reference Correlation for the Viscosity of Methanol, J. Phys. Chem. Ref. Data, Vol. 35, No. 4, 2006
Definition at line 436 of file TransportRoutines.cpp.
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Definition at line 516 of file TransportRoutines.cpp.
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Definition at line 558 of file TransportRoutines.cpp.
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Definition at line 494 of file TransportRoutines.cpp.
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Definition at line 301 of file TransportRoutines.cpp.
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Definition at line 250 of file TransportRoutines.cpp.
1.9.4