Helium viscosity

Signed-off-by: Ian Bell <ian.h.bell@gmail.com>
This commit is contained in:
Ian Bell
2014-05-22 22:56:19 +02:00
parent 7477a8db80
commit 809ec14df2
7 changed files with 64 additions and 3 deletions

View File

@@ -436,6 +436,10 @@ protected:
fluid.transport.hardcoded = CoolProp::TransportPropertyData::VISCOSITY_HARDCODED_WATER;
return;
}
else if (!target.compare("Helium")){
fluid.transport.hardcoded = CoolProp::TransportPropertyData::VISCOSITY_HARDCODED_HELIUM;
return;
}
else{
throw ValueError();
}

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@@ -138,6 +138,8 @@ long double HelmholtzEOSMixtureBackend::calc_viscosity(void)
{
case CoolProp::TransportPropertyData::VISCOSITY_HARDCODED_WATER:
return TransportRoutines::viscosity_water_hardcoded(*this);
case CoolProp::TransportPropertyData::VISCOSITY_HARDCODED_HELIUM:
return TransportRoutines::viscosity_helium_hardcoded(*this);
default:
throw ValueError(format("hardcoded viscosity type [%d] is invalid for fluid %s", components[0]->transport.hardcoded, name().c_str()));
}

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@@ -340,4 +340,46 @@ long double TransportRoutines::viscosity_higher_order_friction_theory(HelmholtzE
}
long double TransportRoutines::viscosity_helium_hardcoded(HelmholtzEOSMixtureBackend &HEOS)
{
double eta_0,eta_0_slash, eta_E_slash, B,C,D,ln_eta,x;
//
// Arp, V.D., McCarty, R.D., and Friend, D.G.,
// "Thermophysical Properties of Helium-4 from 0.8 to 1500 K with Pressures to 2000 MPa",
// NIST Technical Note 1334 (revised), 1998.
//
// Using Arp NIST report
// Report is not clear on viscosity, referring to REFPROP source code for clarity
// Correlation wants density in g/cm^3; kg/m^3 --> g/cm^3, divide by 1000
long double rho = HEOS.keyed_output(CoolProp::iDmass)/1000.0, T = HEOS.T();
if (T <= 300){
x = log(T);
}
else{
x = log(300.0);
}
// Evaluate the terms B,C,D
B = -47.5295259/x+87.6799309-42.0741589*x+8.33128289*x*x-0.589252385*x*x*x;
C = 547.309267/x-904.870586+431.404928*x-81.4504854*x*x+5.37008433*x*x*x;
D = -1684.39324/x+3331.08630-1632.19172*x+308.804413*x*x-20.2936367*x*x*x;
eta_0_slash = -0.135311743/x+1.00347841+1.20654649*x-0.149564551*x*x+0.012520841*x*x*x;
eta_E_slash = rho*B+rho*rho*C+rho*rho*rho*D;
if (T<=100)
{
ln_eta = eta_0_slash + eta_E_slash;
// Correlation yields viscosity in micro g/(cm-s); to get Pa-s, divide by 10 to get micro Pa-s, then another 1e6 to get Pa-s
return exp(ln_eta)/10.0/1e6;
}
else
{
ln_eta = eta_0_slash + eta_E_slash;
eta_0 = 196*pow(T,static_cast<long double>(0.71938))*exp(12.451/T-295.67/T/T-4.1249);
// Correlation yields viscosity in micro g/(cm-s); to get Pa-s, divide by 10 to get micro Pa-s, then another 1e6 to get Pa-s
return (exp(ln_eta)+eta_0-exp(eta_0_slash))/10.0/1e6;
}
}
}; /* namespace CoolProp */

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@@ -84,6 +84,8 @@ public:
static long double viscosity_water_hardcoded(HelmholtzEOSMixtureBackend &HEOS);
static long double viscosity_helium_hardcoded(HelmholtzEOSMixtureBackend &HEOS);
static long double viscosity_hydrogen_higher_order_hardcoded(HelmholtzEOSMixtureBackend &HEOS);
static long double viscosity_hexane_higher_order_hardcoded(HelmholtzEOSMixtureBackend &HEOS);

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@@ -173,6 +173,10 @@ vel("R507A", "T", 243.15, "Q", 0, "V", 284.59e-6, 3e-2),
vel("R507A", "T", 243.15, "Q", 1, "V", 9.83e-6, 1e-2),
vel("R507A", "T", 333.15, "Q", 0, "V", 74.37e-6, 1e-2),
vel("R507A", "T", 333.15, "Q", 1, "V", 19.35e-6, 1e-2),
vel("Helium", "T", 3.6, "P", 0.180e6, "V", 3.745e-6, 1e-2),
vel("Helium", "T", 50, "P", 0.180e6, "V", 6.376e-6, 1e-2),
vel("Helium", "T", 400, "P", 0.180e6, "V", 24.29e-6, 1e-2),
};
class ViscosityValidationFixture