int CPrecipPSD::CalcAgglomCoeff(double *x, double *akf, long *npts, double *aggl_coeff__)
{
long i__1;
double d__1;
// Builtin functions
double exp(double), pow_dd(double , double );
double xend;
long i;
double d1, d2;
// ccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccc
//
// i counter in do loop
// akf agglomeration parameter
// d1 agglomeration parameter
// d2 agglomeration parameter
// xend agglomeration parameter
// ccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccc
//
// Parameter adjustments
--aggl_coeff__;
--akf;
--x;
// Function Body
d1 = akf[1];
d2 = akf[2];
xend = akf[3]*1e6;
i__1 = *npts;
for(i = 1; i <= i__1; ++i)
{
if(x[i] <= xend)
{
aggl_coeff__[i] = 1.;
}
else
{
aggl_coeff__[i] = 0.;
}
if(d1 != 0.)
{
aggl_coeff__[i] *= Exps(-x[i] / d1);
}
if(d2 != 0.)
{
d__1 = x[i] / d2;
aggl_coeff__[i] *= Exps(-pow_dd(d__1, c_b4));
}
}
return 0;
} // CalcAgglomCoeff
double CSeperator_EfficiencyCurve::CalcBetaStar(double in_Alpha, double in_Beta )
{
double BetaStar = 1.0 - in_Beta;
double PN = (1.0 + in_Beta*BetaStar) * (Exps(in_Alpha) - 1.0) / (Exps(in_Alpha*BetaStar) + Exps(in_Alpha) - 2.0); //Partition Number
int iter = 0;
const int MaxIter = 100;
const double Tol = 1.0e-4;
while (iter++<MaxIter)
{
BetaStar += (BetaStar*(PN-0.5)/10.0); //update estimate of BetaStar
PN = (1.0 + in_Beta*BetaStar) * (Exps(in_Alpha) - 1.0) / (Exps(in_Alpha*BetaStar) + Exps(in_Alpha) - 2.0); //Recalc Partition Number
if (fabs(PN-0.5)<Tol)
break;
}
//if (iter>=MaxIter)
// LogError(Tag(), 0, "Unable to calculate BetaStar!");
return BetaStar;
}
int CPrecipPSD::DistSauter(double *psd, double *l32, long *npts, double *x)
{
long i__1;
// Builtin functions
double exp(double);
long i;
double mom0;
// cccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccc
//
// npts number of points in discretization of psd
// x midpoints of discretization
// i counter in do loop
// L32 Sauter mean diameter
// mom0 0th moment
// psd particle size distribution
// ccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccc
//
// Functions Used
// Moment Calculates moments from psd
// ccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccc
//
// Parameter adjustments
--x;
--psd;
// Function Body
i__1 = *npts;
for(i = 1; i <= i__1; ++i)
{
psd[i] = x[i] * Exps(x[i] * -3. / *l32);
// note interval prop to x
}
mom0 = Moment(&psd[1], 0, npts, &x[1]);
i__1 = *npts;
for(i = 1; i <= i__1; ++i)
{
psd[i] /= mom0;
// normalize
}
return 0;
} // DistSauter
//---------------------------------------------------------------------------
// All the precipitation rate calcs are done in this routine
// Takes the product composition and calculates rates from this
// Rates (in kg/s) are put into global x
//---------------------------------------------------------------------------
void CPrecipitator::EvalPrecipRates(MStream & Prod, double T)
{
T = Prod.T; // May want to do the rate calculation at other temperature
MIBayer & ProdB=Prod.IF<MIBayer>(false);
MISSA & ProdSSA = Prod.IF<MISSA>(false);
dResidenceTime = dTankVol/GTZ(Prod.Volume(MP_SL));
for (int i=0; i<nPRECIPCOMPS; i++)
xo[i]=x[i]; // Save old values for convergence test, damping
double SAL = ProdSSA.SpecificSurfaceAreaVol();
double SSA = ProdSSA.SpecificSurfaceAreaMass();
double dSSat;
if (ProdB.CausticConc(T) > 0)
dSSat = (ProdB.AluminaConc(T)-ProdB.AluminaConcSat(T))/ProdB.CausticConc(T);
else
dSSat = 0.0;
if (dSSat < 0) dSSat=0.0;
// Supersaturation...
switch (iGrowthRateMethod) {
case GRM_Fixed:
x[iALUMINA] = dGrowthRate;
x[1] = x[iBOUND_ORGANICS] = 0.0;
break;
case GRM_White:
{
MIBayer & FeedB = Feed.IF<MIBayer>(false);
double Ain = FeedB.AluminaConc(T);
double Aout = ProdB.AluminaConc(T);
dGrowthRateFactor = gF_White*K_White*Exps(-ER_White/T);
dGrowthRate = dGrowthRateFactor*Sqr(dSSat);
x[iALUMINA] = dGrowthRate*SAL*dTankVol/1000.;
double sodaRate = m_dK_Soda*Sqr(dSSat)*Exps(m_dE_Soda/T)*(Aout - Ain)*dTankVol/1000.;
if (sodaRate <0.0) sodaRate = 0.0;
x[iBOUND_SODA] = sodaRate*(1.0-m_dBndOrgSoda);
x[iBOUND_ORGANICS] = sodaRate*m_dBndOrgSoda;
}
break;
case GRM_TTTest:
{ // Alumina Precipitation.... as per QPRECIPD.cpp
MIBayer & FeedB = Feed.IF<MIBayer>(false);
double C = ProdB.CausticConc(T);
double C25 = ProdB.CausticConc(C2K(25));
double CtoS = ProdB.CtoS();
double S_out = C25/CtoS;
// double FC = ProdB.FreeCaustic(T);
double FC = ProdB.FreeCaustic(C2K(25));
double ACeq = ProdB.AluminaConcSat(T)/C25;
double TOOC=ProdB.TOC(C2K(25))*MW_Na2CO3/MW_C;
double a=Exps(-m_dActivationEnergy/T);
double b=Exps(-TOOC*m_dk_TOC);
double c=Pow(GTZ(S_out), m_dn_s);
double d=Pow(GTZ(FC), m_dn_fc);
double e=Pow(GTZ(ACeq), m_dn_eq);
double K = m_dK0*a*b*c*d*e;
double ACout = ProdB.AtoC();
double VLiq = Prod.Volume()*3600.;
double MSolids = Prod.MassVector[spTHA]*3600.0/1000.0;
double Sol = MSolids*1000.0/GTZ(VLiq);
double deltaAC = K * dResidenceTime/3600 *
Pow(GTZ(ACout-ACeq),m_dn_) * Pow(GTZ(Sol),m_dn_sol) * Pow(GTZ(m_dSSA),m_dn_ssa);
double ACoutEst = dACin - deltaAC;
double VolOut = Prod.Volume(MP_Liq, C2K(25.0));
double xx = deltaAC*C25*VolOut*2*MW_Alumina/MW_Al2O3;
if (xx<0.0) xx=0.0;
x[iALUMINA] = xx;
// Bound Soda calculations... slurped from QAL file
double k1x = m_dK1 * (0.000598*C25 - 0.00036*K2C(T) + 0.019568*TOOC/C) * (1.0 - 0.758*CtoS);
double BoundSoda = k1x * Sqr(ACoutEst-ACeq);
if (x[iALUMINA]>=0.0) {
double BndSoda = BoundSoda*(x[iALUMINA]*MW_Al2O3/(2.0*MW_THA))*(1.0-m_dBndOrgSoda)*((2.0*MW_NaOH)/MW_Na2O);
double BndOrgSoda = BoundSoda*(x[iALUMINA]*MW_Al2O3/(2.0*MW_THA))*(m_dBndOrgSoda)*(MW_OrganicSoda/MW_Na2O);
/* If represented as Na2O
double BndSoda = BoundSoda*GibbsRate*dBndOrgSoda;
double BndOrgSoda = BoundSoda*GibbsRate*(1.0-dBndOrgSoda);
*/
x[iBOUND_SODA] = BndSoda;
x[iBOUND_ORGANICS] = BndOrgSoda;
}
}
break;
}
return;
}