11eq1

Name:	11eq1 - Stirred pot reactor process
Source:	Henley, E. J. and Rosen, E. M., Material and Energy Balance
	Computations, Wiley: New York, 1969
Reference/s
Model:	11 implicit equations, indep. variables x1, x2, x3, V, L, s11, s12, s13, s61, s62 and s63
	Lower difficulty level
	Constraints: All the variables are nonnegative
	Discontinuities: none
	Initial estimates: 1.(0.1, 0.2, 0, 500, 500, 970, 30, 0, 970, 30, 0) ;
	2. (0.1, 0.4, 0.5, 600, 1500, 970, 300, 0, 500, 900, 800)
	3. (0.3, 0.3, 0.4, 100, 100, 100, 100, 100, 100, 100, 100, 100, 100)
Solved by	Shacham, M., POLYMATH 5.1, build 19, April 18, 2001
Model Eqs.	Stirred pot reactor process |POLVER05_1
EXCEL FILE	f(x1)=s61-x1*(L+V*2.523) #
TEXT FILE	f(x2)=s62-x2*(L+V*1.57) #
POLYMATH FILE	f(x3)=s63-x3*(L+V*0.0329) #
	f(V)=2.523*x1+1.57*x2+0.0329*x3-1 #
	f(L)=x1+x2+x3-1 #
	f(s11)=s11-970-s51 #
	f(s12)=s12-30-s52 #
	f(s13)=s13-s53 #
	f(s61)=s81+s101+s31-s61 #
	f(s62)=s82+s102+s32-s62 #
	f(s63)=s83+s103+s33-s63 #
	s102=0 #
	s21=s11/(1+0.211*1.5) #
	s71=L*x1 #
	s72=L*x2 #
	s73=L*x3 #
	s41=V*2.523*x1 #
	s42=V*1.57*x2 #
	s43=V*0.0329*x3 #
	s51=0.75*s41 #
	s52=0.75*s42 #
	s53=0.75*s43 #
	s81=0.1*s71 #
	s101=0.9*0.1*s71 #
	s82=0.5*s72 #
	s83=0.2*s73 #
	s103=0.8*0.4*s73 #
	s22=s12/(1+0.101*1.5)+0.211*s21*1.5/(1+0.101*1.5) #
	s31=s21/(1+0.44*2) #
	s23=s13+0.101*1.5*s22 #
	s32=s22/(1+0.219*2)+0.44*s31*2/(1+0.219*2) #
	s33=s23+0.219*2*s32 #
	x1(0)=0.1
	x2(0)=0.2
	x3(0)=0
	V(0)=500
	L(0)=500
	s11(0)=970
	s12(0)=30
	s13(0)=0
	s61(0)=970
	s62(0)=30
	s63(0)=0
Variable/function values	Variable	Value	f(x)
	x1	0.1	793.85
	x2	0.2	-227
	x3	0	0
	V	500	-0.434
	L	500	-0.700
	s11	970	-94.613
	s12	30	-117.750
	s13	0	0
	s61	970	-568.584
	s62	30	418.787
	s63	0	209.297
	s102	0
	s21	736.802
	s71	50
	s72	100
	s73	0
	s41	126.150
	s42	157
	s43	0
	s51	94.613
	s52	117.75
	s53	0
	s81	5
	s101	4.5
	s82	50
	s83	0
	s103	0
	s22	228.570
	s31	391.916
	s23	34.628
	s32	398.787
	s33	209.297
Solution	Variable	Value	f(x)
	x1	0.16547930319775	0
	x2	0.36109556119140	0
	x3	0.4734251356109	-1.137E-13
	V	630.763337421609	0
	L	1554.563311908010	0
	s11	1167.509795711420	-1.990E-13
	s12	298.194278136889	0
	s13	7.368429217898	-1.776E-15
	s61	520.594447913209	-1.137E-13
	s62	918.938282370162	-1.137E-13
	s63	745.793919046246	0
	s102	0
	s21	886.828557319726
	s71	257.248053631316
	s72	561.345911520977
	s73	735.969346755715
	s41	263.346394281892
	s42	357.592370849185
	s43	9.824572290531
	s51	197.509795711419
	s52	268.194278136889
	s53	7.368429217898
	s81	25.724805363132
	s101	23.152324826819
	s82	280.672955760488
	s83	147.193869351143
	s103	235.510190961829
	s22	502.714300068243
	s31	471.717317723258
	s23	83.529645678237
	s32	638.265326609674
	s33	363.089858733274