PAGEPAGE5蒸發熱平衡計算計算的原始數據新蒸汽使用壓力P=5bar(絕壓)，T=155℃，潛熱2102kJ/kg；原液NK175g/l，質量分率13.8%，比熱0.825KCal/kg·℃,tO=85℃，ρ=1270kg/m3；出料濃度NK255g/l，質量分率18.5％，比熱0.766Kcal/kg·℃,t出=90℃，ρ=1375kg/m3；末效(第VI效)壓力P=0.1bar(絕壓)，二次蒸汽溫度T6=46℃，汽化熱2387kJ/kg；傳熱系數（W/m2·℃）：KI=1980，KII=1580，KIII=1580，KIV=1400，KV=917，KVI=1024，K強=750；傳熱面積(m2)：FI=1500,FII=1500,FIII=1500,FIV=1500,FV=3750,FVI=3750,F強=580;溫度損失：蒸發器IIIIIIIVVVI沸點升高131199815沿管損失11111合溫度損失70℃；為簡化計算過程，計算時沒有考慮冷凝水自蒸發產生的二次汽及熱損失，而把它們考慮為相互抵消；按處理流量1000kg/h進行計算。計算蒸水量W總＝1000[1-（175/1270）/（255/1375）]＝235.8kg/h2、總溫度差Δt總＝155-46＝109℃3、蒸發水量的分配（第一次逼近值）W1=(W1+W2+W3+W4+W5+W6)×KI/(KI+KII+KIII+KIV+KV+KVI)=235.8×1980/(1980+1580×2+1400+917+1024)=55.1kg/hW2=W3=W1×KII/KI=55.1×1580/1980=44.0kgW4=W1×KIV/KI=55.1×1400/1980=39.0kg/hW5=W1×KV/KI=55.1×917/1980=25.5kg/hW6=W1×KVI/KI=55.1×1024/1980=28.5kg/h4、有效溫差Δt有＝Δt總-Δt損＝109-70＝39℃5、有效溫差分配（第一次逼近值）Δt1＝Δt2＝Δt3＝Δt4＝Δt5＝Δt6＝39/6＝6.5℃IIIIIIIVVVII閃II閃III閃加熱蒸汽溫度155134.511699.683.167.6161123106948166106.59790有效溫差6.56.56.56.56.56.5沸點升高13/3011/139/69/48/215/3二次汽溫度135.5117100.584.168.646.112410795826757沿管損失11111加熱蒸汽熱焓KCal/kg658651645.8638.8632625.6加熱蒸汽潛熱KCal/kg502516530540549.2557.4溶液沸點148.5128109.593.176.661.1130111.595.1二次汽焓656649644636629.7623650.6644637.6二次汽潛熱508522533543553561520.1532.1542.06、各效濃度％α6＝GB始/(G－W)=1000×175/1270/（1000-28.5）=14.6%α5=0.5×(1000-28.5)×0.146/[0.5×(1000-28.5)-25.5]=15.4%（送入蒸發系統的原液全部進入Ⅵ效蒸發器，經Ⅵ效蒸發濃縮后，分別各以50%的液量送入Ⅴ效和Ⅲ效。）α4=[0.5×(1000-28.5)-25.5]×0.154/[0.5×(1000-28.5)-25.5-39]=16.8%α3=0.5×(1000-28.5)×0.146/[0.5×(1000-28.5)-44.0]=16.1%α2=[0.5×(1000-28.5)-44]×0.161/[0.5×(1000-28.5)-44-44]=17.9%α1=[0.5×(1000-28.5)-44-44]×0.179/[0.5×(1000-28.5)-44-44-55.1]=20.8%7、各效蒸水量1）第VI效熱平w5r5=w6r61+F0c0(t6-t0w5=[w6×561+1000×0.825(61.1-85)]/557.4=w6-35.4w5=w6-35.42)第V效熱平w4r4=w5r51+0.5F6c6(t5-t6)=w5r51+0.5(F0c0-w6)×(t5=(w6-35.4)×553+0.5(1000×0.825-w6)×(76.6-61.1)w4=[(w6-35.4)×553+0.5(1000×0.825-w6)×(76.6-61.1)]/549.2w4=0.993w6-243）I閃熱平F1c1t1=FIcItI+wIHFIcI=f1c1-wF1c1(t1-tI)=wIrF1c1=0.5F6c6-w1-w2-w3=0.5(F0c0-w6)-w1-w[0.5(F0c0-w6)-w1-w2-w3](t1-tI)=wIrwI＝[0.5(1000×0.825-w6)-w1-w2-w3](148.5-130)/520.1wI＝14.7-0.018w6-0.036（w1+w2+w3）wI＝14.7-0.018×28.5-0.036×143.1＝14.7-0.018×28.5-0.036×143.1＝9kg/h4)II閃熱平FIcItI=FIIcIItII+wIIHIIFIIcII=fIcI-wIIFIcI（tI-tII）＝wIIrII[0.5(F0c0-w6)-w1-w2-w3-wI](tI-tII)=wIIrwII＝[0.5(1000×0.825-w6)-w1-w2-w3-wI](130-111.5)/532.1wII＝14.3-0.017w6-0.035(w1+w2+w3+wI)wII＝14.34-0.017×28.5-0.035×(55.1+44+44+9)=8.5kg/h5)III閃熱平FIIcIItII=FIIIcIIItIII+wIIIHIIIFIIIcIII=fIIcII-wIIIFIIcII（tII-tIII）＝wIIIrIII[0.5(F0c0-w6)-w1-w2-w3-wI-wII](tII-tIII)=wIIIrwIII＝[0.5(1000×0.825-w6)-w1-w2-w3-wI-wII](111.5-95.1)/542wIII＝12.5-0.015w6-0.03(w1+w2+w3+wI+wII)wIII＝12.5-0.015×28.5-0.03×(55.1+88+9+8.5)=7.3kg/h6)第IV效熱平w3r3+wIIIHIII=w4r41+F5c5(t4-t5w3r3+wIIIHIII=w4r41+F5c5(t4-t5w3r3+wIIIHIII=w4r41+[0.5(F0c0-w6)-w5](t4-t5w3r3=w4r41+[0.5(F0c0-w6)-w5](t4-t5)-wIIIH=543(0.993w6-24)+[0.5(1000×0.825-w6)-w6+35.4](93.1-76.6)-7.3×637.6=539.2w6-13032+6806.3-8.25w6-16.5w6+584.1-4654.5=514.45w6-10296w3=(514.45w6-10296)/540w3=0.953w6-19.17)第III效熱平w2r2+wIIHII=w3r31+0.5F6c6(t3-t4)=w3r31+0.5(F0c0-w6)(t3w2r2=w3r31+0.5(F0c0-w6)(t3-t4)-wIIH=533(0.953w6-19.1)+0.5(1000×0.825-w6)(109.5-61.1)-8.5×644=508w6-10180.3+19965-24.2w6-5474=483.2w6+4310.7w2=(483.2w6+4310.7)/530=0.91w6+8.18)第II效熱平w1r1+wIHI=w2r21+F3c3(t2-t3F3c3=0.5F6c6-w3=0.5(F0c0w1r1+wIHI=w2r21+[0.5(F0c0-w6)-w3](t2-t3=522(0.91w6+8.1)+[0.5(1000×0.825-w6)-0.953w6+19.1](128-109.5)=475w6+4228.2+7631.3-9.25w6-17.6w6+353.4=448.2w6+12212.9w1r1=448.2w6+12212.9-9×650.6=448.2w6+6537.5w1=(448.2w6+6537.5)/516=0.869w6+12.39)第I效熱平Dr=w1r11+F2c2(t1-t2F2c2=0.5(F0c0-w6)-w3Dr=w1r11+[0.5(F0c0-w6)-w3-w2](t1-t2=508(0.869w6+12.3)+[0.5(1000×0.825-w6)-0.953w6+19.1-0.91w6-8.1](148.5-128)=441.5w6+6248.4+8456.3-10.25w6-19.5w6+391.6-18.7w6-166.1=393.1w6+14930.2D=(393.1w6+14930.2)/502=0.783w6+29.710)蒸水量w1+w2+w3+w4+w5+w6=w0.869w6+12.3+0.91w6+8.1+0.953w6-19.1+0.993w6-24+w6-35.4+w6=235.85.725w6-58.1=235.8w6=51.3kg/hw5=51.3-35.4=15.9kg/hw4=0.993×51.3-24=27.0kg/hw3=0.953×51.3-19.1=29.8kg/hw2=0.91×51.3+8.1=54.8kg/hw1=0.869×51.3+12.3=56.9kg/hD=0.783×51.3+29.7=69.9kg/h蒸汽單耗D/w=69.9/235.8=0.296kg.汽/kg.水8、熱負荷Q1=Dr=69.9×502=35089kcalQ2=w1r1=56.9×516=29360kcalQ3=w2r2=54.8×530=29044kcalQ4=w3r3=29.8×540=16092kcalQ5=w4r4=27.0×549.2=14828kcalQ6=w5r5=15.9×557.4=8863kcal9、相對熱負荷g2=Q2/Q1=29360/35089=0.837g3=Q3/Q1=29044/35089=0.828g4=Q4/Q1=16092/35089=0.459g5=Q5/Q1=14828/35089=0.423g6=Q6/Q1=8863/35089=0.25310、精確分配有效溫差Δt1＝39/（1+g2×F1×K1/F2×K2+g3×F1×K1/F3×K3+g4×F1×K1/F4×K4+g5×F1×K1/F5×K5+g6×F1×K1/F6×K6)=39/[1+0.837×1955×1980/(1106×1580)+0.828×1955×1980/(1106×1580)+0.459×1955×1980/(1106×1400)+0.423×1955×1980/(1800×917)+0.253×1955×1980/(4000×1024)]]Δt1＝5.5℃Δt2＝5.5×0.837×1955×1980/(1106×1580)=10.2℃Δt3＝5.5×0.828×1955×1980/(1106×1580)=10.1℃Δt4＝5.5×0.459×1955×1980/(1106×1400)=6.3℃Δt5＝5.5×0.423×1955×1980/(1800×917)=5.5℃Δt6＝5.5×0.253×1955×1980/(4000×1024)=1.4℃11、計算結果列表IIIIIIIVVVII閃II閃III閃加熱蒸汽溫度155135.5113.393.276.962.4有效溫差5.510.210.16.35.51.4沸點升高131199815二次汽溫度136.5114.394.277.963.446沿管損失11111加熱蒸汽熱焓658652.5644.8636630623加熱蒸汽潛熱502516532544553561溶液沸點149.5125.3103.286.971.461127.3105.288.9二次汽焓657649640.5634627.5623649.5641.5635二次汽潛熱50652353854755656152253654612、第二次逼近計算（1）蒸水量1）第VI效熱平w5r5=w6r61+F0c0(t6-t0w5=[w6×561+1000×0.825(61.0-85)]/561=w6-35.3w5=w6-35.32)第V效熱平w4r4=w5r51+0.5F6c6(t5-t6)=w5r51+0.5(F0c0-w6)×(t5=(w6-35.3)×556+0.5(1000×0.825-w6)×(71.4-61.0)w4=[(w6-35.4)×556+0.5(1000×0.825-w6)×(76.6-61.1)]/553w4=0.991w6-243）I閃熱平F1c1t1=FIcItI+wIHFIcI=f1c1-wF1c1(t1-tI)=wIrF1c1=0.5F6c6-w1-w2-w3=0.5(F0c0-w6)-w1-w[0.5(F0c0-w6)-w1-w2-w3](t1-tI)=wIrwI＝[0.5(1000×0.825-w6)-w1-w2-w3](149.5-127.3)/522wI＝14.7-0.021w6-0.043（w1+w2+w3）wI＝17.5-0.021×51.3-0.043×141.5＝10.3kg/h4)II閃熱平FIcItI=FIIcIItII+wIIHIIFIIcII=fIcI-wIIFIcI（tI-tII）＝wIIrII[0.5(F0c0-w6)-w1-w2-w3-wI](tI-tII)=wIIrwII＝[0.5(1000×0.825-w6)-w1-w2-w3-wI](127.3-105.2)/536wII＝17.0-0.021w6-0.041(w1+w2+w3+wI)wII＝17.0-0.021×51.3-0.041×(56.9+54.8+29.8+10.3)=9.7kg/h5)III閃熱平FIIcIItII=FIIIcIIItIII+wIIIHIIIFIIIcIII=fIIcII-wIIIFIIcII（tII-tIII）＝wIIIrIII[0.5(F0c0-w6)-w1-w2-w3-wI-wII](tII-tIII)=wIIIrwIII＝[0.5(1000×0.825-w6)-w1-w2-w3-wI-wII](105.2-88.9)/522wIII＝12.9-0.016w6-0.03(w1+w2+w3+wI+wII)wIII＝12.9-0.016×51.3-0.031×(56.9+54.8+29.8+10.3+9.7)=7.1kg/h6)第IV效熱平w3r3+wIIIHIII=w4r41+F5c5(t4-t5w3r3+wIIIHIII=w4r41+F5c5(t4-t5w3r3+wIIIHIII=w4r41+[0.5(F0c0-w6)-w5](t4-t5w3r3=w4r41+[0.5(F0c0-w6)-w5](t4-t5)-wIIIH=547(0.991w6-24)+[0.5(1000×0.825-w6)-w6+35.3](86.9-71.4)-7.1×635=542.7w6-13128+6393.8-7.75w6-15.5w6+547.2-4508.5=519.45w6-10695.5w3=(519.45w6-10695.5)/544w3=0.955w6-19.77)第III效熱平w2r2+wIIHII=w3r31+0.5F6c6(t3-t4)=w3r31+0.5(F0c0-w6)(t3w2r2=w3r31+0.5(F0c0-w6)(t3-t6)-wIIH=538(0.955w6-19.7)+0.5(1000×0.825-w6)(103.2-61.0)-9.7×641.5=513.8w6-10598.6+17407.5-21.1w6-6222.6=492.7w6+586.3w2=(492.7w6+586.3)/532=0.926w6+1.18)第II效熱平w1r1+wIHI=w2r21+F3c3(t2-t3F3c3=0.5F6c6-w3=0.5(F0c0w1r1+wIHI=w2r21+[0.5(F0c0-w6)-w3](t2-t3=523(0.926w6+1.1)+[0.5(1000×0.825-w6)-0.955w6+19.7](125.3-103.2)=484.3w6+575.3+9116.25-11.05w6-21.1w6+435.4=452.2w6+10127w1r1=452.2w6+10127-10.3×649.5=452.2w6+3437.2w1=(452.2w6+3437.2)/516=0.876w6+6.669)第I效熱平Dr=w1r11+F2c2(t1-t2F2c2=0.5(F0c0-w6)-w3Dr=w1r11+[0.5(F0c0-w6)-w3-w2](t1-t2=506(0.876w6+6.66)+[0.5(1000×0.825-w6)-0.955w6+19.7-0.926w6-1.1](149.5-125.3)=443.3w6+3370+9982.5-12.1w6-23.1w6+476.7-22.4w6-26.6=385.7w6+13802.6D=(385.7w6+13802.6)/502=0.768w6+27.510)蒸水量w1+w2+w3+w4+w5+w6=w0.876w6+6.66+0.926w6+1.1+0.955w6-19.7+0.991w6-24+w6-35.3+w6=235.8w6=53.5kg/hw5=53.4-35.3=18.2kg/hw4=0.991×53.4-24=28.9kg/hw3=0.955×53.4-19.7=31.3kg/hw2=0.926×53.4+1.1=50.5kg/hw1=0.876×53.4+6.66=53.4kg/hD=0.768×53.4+27.5=68.5kg/h蒸汽單耗D/w=68.5/235.8=0.291kg.汽/kg.水13）熱負荷Q1=Dr=68.5×502=34378kcalQ2=w1r1=53.4×516=27554kcalQ3=w2r2=50.5×532=26866kcalQ4=w3r3=31.3×544=17027kcalQ5=w4r4=28.9×553=15981kcalQ6=w5r5=18.1×561=10154kcal14）相對熱負荷g2=Q2/Q1=27554/34378=0.801g3=Q3/Q1=26866/34378=0.781g4=Q4/Q1=17027/34378=0.495g5=Q5/Q1=15981/34378=0.465g6=Q6/Q1=10154/34378=0.29515）驗證有效溫差Δt1＝39/（1+g2×F1×K1/F2×K2+g3×F1×K1/F3×K3+g4×F1×K1/F4×K4+g5×F1×K1/F5×K5+g6×F1×K1/F6×K6)=39/[1+0.801×1955×1980/(1106×1580)+0.781×1955×1980/(1106×1580)+0.495×1955×1980/(1106×140