diff --git a/Verification/Pyrolysis/tga_analysis.py b/Verification/Pyrolysis/tga_analysis.py new file mode 100644 index 00000000000..322ea069201 --- /dev/null +++ b/Verification/Pyrolysis/tga_analysis.py @@ -0,0 +1,170 @@ +import math + +def cp_w(tmp): + cp = -0.394796083E+05/tmp**2+0.575573102E+03/tmp+0.931782653E+00+0.722271300E-02*tmp-0.734256000E-05*tmp**2+0.495504000E-08*tmp**3-0.133693000E-11*tmp**4 + cp = cp * 8314.472/18.01528 + + cp=2000 + + return cp + +def h_w(tmp): + h = 0.394796083E+05/tmp+0.575573102E+03*math.log(tmp)+0.931782653E+00*tmp+0.722271300E-02/2*tmp**2-0.734256000E-05/3*tmp**3+0.495504000E-08/4*tmp**4-0.133693000E-11/5*tmp**5-0.330397431E+05 + h = h * 8314.472/18.01528 + + h = 2000 * tmp + + return h + + +y1 = 0.9 +y2 = 0 +yr = 0 +yw = 0.1 + +cp1 = 1000 +cp2 = 1000 +cpr = 1000 +cpw = 4184 +rho10 = 500 +rho20 = 500 +rhor0 = 200 +rhow0 = 1000 +hor1 = 1000*1000 +hor2 = 1000*1000 +horw = 2500 * 1000 +ref_t1 = 315 + 273.15 +ref_t2 = 430 + 273.15 +ref_tw = 100 + 273.15 +ref_r1 = 0.0056 +ref_r2 = 0.0075 +ref_rw = 0.0016 +rgas = 8.314472 +refrate = 10/60 +m12f = 0.4 +m2rf = 0.15 +hoc = 14988.3674E3 + +cpg = 179.4778852 + +e = math.exp(1) + +e1 = e * ref_r1 * rgas * ref_t1**2/refrate +a1 = e * ref_r1 * math.exp(e1/(rgas*ref_t1)) + +e2 = e * ref_r2 * rgas * ref_t2**2/refrate +a2 = e * ref_r2 * math.exp(e2/(rgas*ref_t2)) + +ew = e * ref_rw * rgas * ref_tw**2/refrate +aw = e * ref_rw * math.exp(ew/(rgas*ref_tw)) + +rho_s = y1/rho10 + yw/rhow0 +rho_s = 1/rho_s +m0 = rho_s * 1E-6 +m1 = y1 * m0 +m2 = 0 +mr = 0 +rho1 = y1 * rho_s +rho2 = 0 +rho3 = 0 +rhow = yw * rho_s +mw = yw * m0 +msum = m1 + m2 + mr + mw +dtdt = 5/60 +dt = 1 + +t = 0 +Temp = 20 +twrite = 12 +mcc =0 +dsc = 0 +mlr1 = 0 +mlr2 = 0 +mlrr = 0 +mlrw = 0 +TempMax = 800 + +h_w_ref = h_w(ref_tw) + +f = open('tga_analysis_exact.csv','w') + +f.write('s,C,g/g,g/g,g/g,g/g,g/g,1/s,1/s,1/s,1/s,1/s,W/g,W/g\n') +f.write('Time,Temp,Total Mass,component 1 Mass,water Mass,component 2 Mass,residue Mass,Total MLR, component 1 MLR, water MLR, component 2 MLR, residue MLR,MCC,DSC\n') + +outstr=[str('{:.4e}'.format(t)),str('{:.4e}'.format(Temp)),str('{:.4e}'.format(msum/m0)),str('{:.4e}'.format(m1/m0)),str('{:.4e}'.format(mw/m0)),str('{:.4e}'.format(m2/m0)),str('{:.4e}'.format(mr/m0)),str('{:.4e}'.format(0)),str('{:.4e}'.format(0)),str('{:.4e}'.format(0)),str('{:.4e}'.format(0)),str('{:.4e}'.format(0)),str('{:.4e}'.format(0)),str('{:.4e}'.format(0))] +outstr2 = ','.join(outstr)+'\n' +f.write(outstr2) + +while True: + TempK = Temp + 273.15 + m1p = m1 + m2p = m2 + mrp = mr + mwp = mw + + rr1 = rho1 * a1 * math.exp(-e1/(rgas*TempK)) + rr2 = rho2 * a2 * math.exp(-e2/(rgas*TempK)) + rrw = rhow * aw * math.exp(-ew/(rgas*TempK)) + + drho1 = rr1 * dt + drho2 = rr2 * dt + drhow = rrw * dt + + rho1n = max(0,rho1 - drho1) + rho2n = max(0,rho2 - drho2) + rhown = max(0,rhow - drhow) + + m1 = m1p * rho1n / (rho1+1E-60) + m2 = m2p * rho2n / (rho2+1E-60) + m12f * (m1p - m1) + mf1 = (1-m12f) * (m1p - m1) + mr = mr + m2rf * m2p * (1- rho2n / (rho2+1E-60)) + mf2 = (1-m2rf) * m2p * (1- rho2n / (rho2+1E-60)) + mf = mf1 + mf2 + mw = mw * rhown / (rhow+1E-60) + msum = m1 + m2 + mr + mw + + y1 = m1/(msum + 1E-60) + y2 = m2/(msum + 1E-60) + yr = mr/(msum + 1E-60) + yw = mw/(msum + 1E-60) + + rho_s = y1/(rho10+1E-60) + y2/(rho20+1E-60) + yr/(rhor0+1E-60) + yw/(rhow0+1E-60) + + if (rho_s > 0): + rho_s = 1/rho_s + + rho1 = y1 * rho_s + rho2 = y2 * rho_s + rhor = yr * rho_s + rhow = yw * rho_s + if (rho1<=0): rho1n = 0 + if (rho2<=0): rho2n = 0 + if (rhor<=0): rhorn = 0 + if (rhow<=0): rhown = 0 + mlr1 = (m1p - m1 )/(dt*(m0+1E-60)) + mlr2 = (m2p - m2 )/(dt*(m0+1E-60)) + mlrr = (mrp - mr )/(dt*(m0+1E-60)) + mlrw = (mwp - mw )/(dt*(m0+1E-60)) + mlrtot = mlr1 + mlr2 + mlrr + mlrw + + mcc = hoc * mf / dt * 0.001 / m0 + + t = t + dt + Temp = Temp + dtdt*dt + + dsc = dtdt * dt * (y1 * cp1 + y2 * cp2 + yr * cpr + yw * cpw) * msum /(m0 * 1000) + dsc = dsc + (m1p - m1) * (hor1 - (TempK - ref_t1) * (cpg - cp1) * (1 - m12f)) / (m0 * 1000) + dsc = dsc + (mr - mrp)/m2rf * (hor2 - (TempK - ref_t2) * (cpg - cp2) * (1 - m2rf)) / (m0 * 1000) + h_w_TempK = h_w(TempK) + dsc = dsc + (mwp - mw) * (horw + h_w_TempK - h_w_ref - (TempK - ref_tw) * cpw) / (m0 * 1000) + + if (t >= twrite): + outstr=[str('{:.4e}'.format(t)),str('{:.4e}'.format(Temp)),str('{:.4e}'.format(msum/m0)),str('{:.4e}'.format(m1/m0)),str('{:.4e}'.format(mw/m0)),str('{:.4e}'.format(m2/m0)),str('{:.4e}'.format(mr/m0)),str('{:.4e}'.format(mlrtot)),str('{:.4e}'.format(mlr1)),str('{:.4e}'.format(mlr2)),str('{:.4e}'.format(mlrw)),str('{:.4e}'.format(mlrr)),str('{:.4e}'.format(mcc)),str('{:.4e}'.format(dsc))] + outstr2 = ','.join(outstr)+'\n' + f.write(outstr2) + twrite = twrite+12 + if (TempK >= TempMax): + break + + + diff --git a/Verification/Pyrolysis/tga_analysis_exact.csv b/Verification/Pyrolysis/tga_analysis_exact.csv index 46d6e49be31..c0da17eb686 100644 --- a/Verification/Pyrolysis/tga_analysis_exact.csv +++ b/Verification/Pyrolysis/tga_analysis_exact.csv @@ -1,783 +1,510 @@ s,C,g/g,g/g,g/g,g/g,g/g,1/s,1/s,1/s,1/s,1/s,W/g,W/g -Time,Temp,Total Mass,dry wood Mass,water Mass,char Mass,ash Mass,Total MLR,dry wood MLR,water MLR,char MLR,ash MLR,MCC,DSC - 9.9999998E-003, 2.0000656E+001, 9.9999970E-001, 8.9999998E-001, 9.9999696E-002, 1.8281761E-028, 0.0000000E+000, 3.0502872E-005, 4.5704404E-026, 3.0502872E-005,-1.8281761E-026, 0.0000000E+000, 4.1102064E-022, 3.3669153E-001 - 1.2000000E+001, 2.0999897E+001, 9.9962682E-001, 8.9999998E-001, 9.9626839E-002, 2.6496921E-025, 0.0000000E+000, 3.1695799E-005, 6.5907301E-026, 3.1695799E-005,-2.6362921E-026, 0.0000000E+000, 5.9270571E-022, 1.9476888E-001 - 2.4000000E+001, 2.1999895E+001, 9.9923915E-001, 8.9999998E-001, 9.9239163E-002, 6.4669091E-025, 0.0000000E+000, 3.2921896E-005, 9.4837468E-026, 3.2921896E-005,-3.7934987E-026, 0.0000000E+000, 8.5287531E-022, 1.9784707E-001 - 3.6000000E+001, 2.2999895E+001, 9.9883658E-001, 8.9999998E-001, 9.8836571E-002, 1.1952533E-024, 0.0000000E+000, 3.4180084E-005, 1.3613163E-025, 3.4180084E-005,-5.4452652E-026, 0.0000000E+000, 1.2242346E-021, 2.0099930E-001 - 4.8000000E+001, 2.3999893E+001, 9.9841869E-001, 8.9999998E-001, 9.8418698E-002, 1.9816541E-024, 0.0000000E+000, 3.5470330E-005, 1.9493129E-025, 3.5470330E-005,-7.7972516E-026, 0.0000000E+000, 1.7530211E-021, 2.0422627E-001 - 6.0000000E+001, 2.4999891E+001, 9.9798512E-001, 8.9999998E-001, 9.7985148E-002, 3.1062875E-024, 0.0000000E+000, 3.6792539E-005, 2.7845698E-025, 3.6792539E-005,-1.1138280E-025, 0.0000000E+000, 2.5041695E-021, 2.0752801E-001 - 7.2000000E+001, 2.5999889E+001, 9.9753553E-001, 8.9999998E-001, 9.7535536E-002, 4.7107811E-024, 0.0000000E+000, 3.8146543E-005, 3.9682519E-025, 3.8146543E-005,-1.5873008E-025, 0.0000000E+000, 3.5686571E-021, 2.1090379E-001 - 8.4000000E+001, 2.6999887E+001, 9.9706948E-001, 8.9999998E-001, 9.7069487E-002, 6.9944605E-024, 0.0000000E+000, 3.9532108E-005, 5.6417685E-025, 3.9532108E-005,-2.2567072E-025, 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8.9999998E-001, 9.4479665E-002, 4.3364050E-023, 0.0000000E+000, 4.6919387E-005, 3.1657128E-024, 4.6919387E-005,-1.2662851E-024, 0.0000000E+000, 2.8469321E-020, 2.3261984E-001 - 1.5600000E+002, 3.2999874E+001, 9.9390727E-001, 8.9999998E-001, 9.3907259E-002, 6.1450744E-023, 0.0000000E+000, 4.8484719E-005, 4.4396295E-024, 4.8484719E-005,-1.7758517E-024, 0.0000000E+000, 3.9925682E-020, 2.3646593E-001 - 1.6800000E+002, 3.3999874E+001, 9.9331588E-001, 8.9999998E-001, 9.3315907E-002, 8.6786166E-023, 0.0000000E+000, 5.0077553E-005, 6.2124879E-024, 5.0077553E-005,-2.4849951E-024, 0.0000000E+000, 5.5869032E-020, 2.4037294E-001 - 1.8000000E+002, 3.4999870E+001, 9.9270529E-001, 8.9999998E-001, 9.2705272E-002, 1.2219780E-022, 0.0000000E+000, 5.1696919E-005, 8.6743571E-024, 5.1696919E-005,-3.4697428E-024, 0.0000000E+000, 7.8008676E-020, 2.4433543E-001 - 1.9200000E+002, 3.5999870E+001, 9.9207509E-001, 8.9999998E-001, 9.2075057E-002, 1.7158583E-022, 0.0000000E+000, 5.3341737E-005, 1.2085682E-023, 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4.0999859E+001, 9.8862028E-001, 8.9999998E-001, 8.8620305E-002, 9.0343370E-022, 0.0000000E+000, 6.1901512E-005, 6.1473204E-023, 6.1901512E-005,-2.4589282E-023, 0.0000000E+000, 5.5282983E-019, 2.6909640E-001 - 2.6400000E+002, 4.1999855E+001, 9.8786688E-001, 8.9999998E-001, 8.7866880E-002, 1.2511267E-021, 0.0000000E+000, 6.3669650E-005, 8.4582196E-023, 6.3669650E-005,-3.3832878E-023, 0.0000000E+000, 7.6064944E-019, 2.7334785E-001 - 2.7600000E+002, 4.2999855E+001, 9.8709214E-001, 8.9999998E-001, 8.7092154E-002, 1.7290151E-021, 0.0000000E+000, 6.5452266E-005, 1.1614360E-022, 6.5452266E-005,-4.6457442E-023, 0.0000000E+000, 1.0444819E-018, 2.7762121E-001 - 2.8800000E+002, 4.3999851E+001, 9.8629594E-001, 8.9999998E-001, 8.6295962E-002, 2.3845331E-021, 0.0000000E+000, 6.7247267E-005, 1.5916339E-022, 6.7247267E-005,-6.3665354E-023, 0.0000000E+000, 1.4313596E-018, 2.8191301E-001 - 3.0000000E+002, 4.4999851E+001, 9.8547816E-001, 8.9999998E-001, 8.5478164E-002, 3.2819180E-021, 0.0000000E+000, 6.9052425E-005, 2.1768615E-022, 6.9052425E-005,-8.7074460E-023, 0.0000000E+000, 1.9576561E-018, 2.8621370E-001 - 3.1200000E+002, 4.5999847E+001, 9.8463863E-001, 8.9999998E-001, 8.4638655E-002, 4.5079938E-021, 0.0000000E+000, 7.0865375E-005, 2.9714348E-022, 7.0865375E-005,-1.1885739E-022, 0.0000000E+000, 2.6722175E-018, 2.9052019E-001 - 3.2400000E+002, 4.6999844E+001, 9.8377734E-001, 8.9999998E-001, 8.3777353E-002, 6.1798837E-021, 0.0000000E+000, 7.2683608E-005, 4.0481577E-022, 7.2683608E-005,-1.6192631E-022, 0.0000000E+000, 3.6405166E-018, 2.9482359E-001 - 3.3600000E+002, 4.7999844E+001, 9.8289424E-001, 8.9999998E-001, 8.2894221E-002, 8.4552867E-021, 0.0000000E+000, 7.4504482E-005, 5.5044296E-022, 7.4504482E-005,-2.2017719E-022, 0.0000000E+000, 4.9501453E-018, 2.9911870E-001 - 3.4800000E+002, 4.8999840E+001, 9.8198920E-001, 8.9999998E-001, 8.1989229E-002, 1.1546129E-020, 0.0000000E+000, 7.6325210E-005, 7.4703113E-022, 7.6325210E-005,-2.9881246E-022, 0.0000000E+000, 6.7180669E-018, 3.0339745E-001 - 3.6000000E+002, 4.9999840E+001, 9.8106241E-001, 8.9999998E-001, 8.1062406E-002, 1.5736680E-020, 0.0000000E+000, 7.8142868E-005, 1.0119155E-021, 7.8142868E-005,-4.0476620E-022, 0.0000000E+000, 9.1001771E-018, 3.0765155E-001 - 3.7200000E+002, 5.0999836E+001, 9.8011380E-001, 8.9999998E-001, 8.0113806E-002, 2.1407536E-020, 0.0000000E+000, 7.9954400E-005, 1.3681590E-021, 7.9954400E-005,-5.4726358E-022, 0.0000000E+000, 1.2303882E-017, 3.1187430E-001 - 3.8400000E+002, 5.1999832E+001, 9.7914350E-001, 8.9999998E-001, 7.9143517E-002, 2.9067327E-020, 0.0000000E+000, 8.1756596E-005, 1.8463887E-021, 8.1756596E-005,-7.3855551E-022, 0.0000000E+000, 1.6604612E-017, 3.1605673E-001 - 3.9600000E+002, 5.2999832E+001, 9.7815168E-001, 8.9999998E-001, 7.8151681E-002, 3.9394548E-020, 0.0000000E+000, 8.3546147E-005, 2.4872039E-021, 8.3546147E-005,-9.9488159E-022, 0.0000000E+000, 2.2367477E-017, 3.2018989E-001 - 4.0800000E+002, 5.3999828E+001, 9.7713846E-001, 8.9999998E-001, 7.7138461E-002, 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4.1160000E+003, 3.6299997E+002, 3.5994291E-001, 3.1933644E-019, 3.1940788E-019, 3.5993284E-001, 1.0073039E-005, 7.2570145E-007, 0.0000000E+000, 0.0000000E+000, 8.5376644E-007,-1.2806497E-007, 1.0877081E-002, 3.0888109E-002 - 4.1280000E+003, 3.6399997E+002, 3.5993353E-001, 3.1933644E-019, 3.1940788E-019, 3.5992178E-001, 1.1730535E-005, 8.4245454E-007, 0.0000000E+000, 0.0000000E+000, 9.9112299E-007,-1.4866845E-007, 1.2627020E-002, 3.1032311E-002 - 4.1400000E+003, 3.6499997E+002, 3.5992262E-001, 3.1933644E-019, 3.1940788E-019, 3.5990897E-001, 1.3654228E-005, 9.7752923E-007, 0.0000000E+000, 0.0000000E+000, 1.1500343E-006,-1.7250515E-007, 1.4651568E-002, 3.1194836E-002 - 4.1520000E+003, 3.6599997E+002, 3.5990998E-001, 3.1933644E-019, 3.1940788E-019, 3.5989410E-001, 1.5885817E-005, 1.1337266E-006, 0.0000000E+000, 0.0000000E+000, 1.3337961E-006,-2.0006941E-007, 1.6992712E-002, 3.1385835E-002 - 4.1640000E+003, 3.6699997E+002, 3.5989532E-001, 3.1933644E-019, 3.1940788E-019, 3.5987684E-001, 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5.2320000E+003, 4.5600000E+002, 5.4000001E-002, 9.6635989E-021, 1.1972279E-019, 1.1957378E-019, 5.4000001E-002, 0.0000000E+000, 0.0000000E+000, 0.0000000E+000, 0.0000000E+000, 0.0000000E+000, 0.0000000E+000, 4.5003998E-003 - 5.2440000E+003, 4.5700000E+002, 5.4000001E-002, 9.6635989E-021, 1.1972279E-019, 1.1957378E-019, 5.4000001E-002, 0.0000000E+000, 0.0000000E+000, 0.0000000E+000, 0.0000000E+000, 0.0000000E+000, 0.0000000E+000, 4.5000981E-003 - 5.2560000E+003, 4.5800000E+002, 5.4000001E-002, 9.6635989E-021, 1.1972279E-019, 1.1957378E-019, 5.4000001E-002, 0.0000000E+000, 0.0000000E+000, 0.0000000E+000, 0.0000000E+000, 0.0000000E+000, 0.0000000E+000, 4.5000995E-003 - 5.2680000E+003, 4.5900000E+002, 5.4000001E-002, 9.6635989E-021, 1.1972279E-019, 1.1957378E-019, 5.4000001E-002, 0.0000000E+000, 0.0000000E+000, 0.0000000E+000, 0.0000000E+000, 0.0000000E+000, 0.0000000E+000, 4.5000976E-003 - 5.2800000E+003, 4.6000000E+002, 5.4000001E-002, 9.6635989E-021, 1.1972279E-019, 1.1957378E-019, 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7.4640000E+003, 6.4200000E+002, 5.4000001E-002, 9.6635989E-021, 1.1972279E-019, 1.1957378E-019, 5.4000001E-002, 0.0000000E+000, 0.0000000E+000, 0.0000000E+000, 0.0000000E+000, 0.0000000E+000, 0.0000000E+000, 4.4998019E-003 - 7.4760000E+003, 6.4300000E+002, 5.4000001E-002, 9.6635989E-021, 1.1972279E-019, 1.1957378E-019, 5.4000001E-002, 0.0000000E+000, 0.0000000E+000, 0.0000000E+000, 0.0000000E+000, 0.0000000E+000, 0.0000000E+000, 4.5001027E-003 - 7.4880000E+003, 6.4400000E+002, 5.4000001E-002, 9.6635989E-021, 1.1972279E-019, 1.1957378E-019, 5.4000001E-002, 0.0000000E+000, 0.0000000E+000, 0.0000000E+000, 0.0000000E+000, 0.0000000E+000, 0.0000000E+000, 4.4998019E-003 - 7.5000000E+003, 6.4500000E+002, 5.4000001E-002, 9.6635989E-021, 1.1972279E-019, 1.1957378E-019, 5.4000001E-002, 0.0000000E+000, 0.0000000E+000, 0.0000000E+000, 0.0000000E+000, 0.0000000E+000, 0.0000000E+000, 4.5001027E-003 - 7.5120000E+003, 6.4600000E+002, 5.4000001E-002, 9.6635989E-021, 1.1972279E-019, 1.1957378E-019, 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