Three stage, two component distillation column |POLVER05_1 f(x11)=-((V1-L0)*k11+L1)*x11+V2*k12*x12 # f(x12)=L1*x11-(V2*k12+L2)*x12+V3*k13*x13+z1*F # f(x13)=L2*x12-(V3*k13+B)*x13 # f(x21)=-((V1-L0)*k21+L1)*x21+V2*k22*x22 # f(x22)=L1*x21-(V2*k22+L2)*x22+V3*k23*x23+z2*F # f(x23)=L2*x22-(V3*k23+B)*x23 # f(t1) = k11*x11+k21*x21-1 # f(t2) = k12*x12+k22*x22-1 # f(t3) = k13*x13+k23*x23-1 # f(tf) = k1f*z1+k2f*z2-1 # f(t0) = k10*k11*x11+k20*k21*x21-1 # f(V1) = -V1*hv1+V2*hv2-L1*hl1+L0*h0 # f(V2) = -V2*hv2+V3*hv3+hf+L1*hl1-L2*hl2 # f(V3) = -V3*hv3+Q+L2*hl2-L3*hl3 # L0=V1-D # L1=V2-D # L2=V3+F-D # L3=B # hl1 = t1*(29.6+0.04*t1)*x11+t1*(38.5+0.025*t1)*x21 # hv1=(8003+t1*(43.8-0.04*t1))*k11*x11+(12004+t1*(31.7+0.007*t1))*k21*x21 # hl2=t2*(29.6+0.04*t2)*x12+t2*(38.5+0.025*t2)*x22 # hv2=(8003+t2*(43.8-0.04*t2))*k12*x12+(12004+t2*(31.7+0.007*t2))*k22*x22 # hl3=t3*(29.6+0.04*t3)*x13+t3*(38.5+0.025*t3)*x23 # hv3=(8003+t3*(43.8-0.04*t3))*k13*x13+(12004+t3*(31.7+0.007*t3))*k23*x23 # hf = tf*(29.6+0.04*tf)*z1+tf*(38.5+0.025*tf)*z2 # h0 = t0*(29.6+0.04*t0)*k10*k11*x11+t0*(38.5+0.025*t0)*k20*k21*x21 # k11=10^(6.80776-935.77/((t1-32)*5/9+238.789))/P # k12 = 10^(6.80776-935.77/((t2-32)*5/9+238.789))/P # k13=10^(6.80776-935.77/((t3-32)*5/9+238.789))/P # k21 = 10^(6.85296-1064.84/((t1-32)*5/9+232.012))/P # k22=10^(6.85296-1064.84/((t2-32)*5/9+232.012))/P # k23=10^(6.85296-1064.84/((t3-32)*5/9+232.012))/P # k1f = 10^(6.80776-935.77/((tf-32)*5/9+238.789))/P # k2f = 10^(6.85296-1064.84/((tf-32)*5/9+232.012))/P # k10 = 10^(6.80776-935.77/((t0-32)*5/9+238.789))/P # k20 = 10^(6.85296-1064.84/((tf-32)*5/9+232.012))/P # F=1 # z1 = 0.40 # z2 = 1-z1 # B=0.75 # D=0.25 # P=760*120/14.7 # Q = 10000 # y11 = k11*x11 # y12 = k12*x12 # rec = y11*D/(z1*F) # x11(0)=0.5 x12(0)=0.4 x13(0)=0.3 x21(0)=0.3 x22(0)=0.4 x23(0)=0.5 t1(0)=145 t2(0)=190 t3(0)=210 tf(0)=200 t0(0)=200 V1(0)=1 V2(0)=1 V3(0)=1