| Name: |
Oneeq14 - Heat duty of a countercurrent
flow heat exchanger |
| Source: |
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| Reference/s |
Shacham, M. 1989, Chem. Engng.
Sci., 44(7), 1495 |
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| Model: |
1 implicit equation, indep.
variable name: Q |
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Moderate difficulty level |
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Constraints: V>0 |
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Discontinuities: function
undefined for DT1<=0 or DT2<0 |
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Initial range: Qmin=1E6, Qmax=7.0E6 |
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| Solved by |
Shacham, M., POLYMATH 5.1,
build 19, Dec. 12, 2000 |
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| Model Eqs. |
Heat duty of a shell and tube
heat exchanger|POLVER05_1 |
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EXCEL
FILE |
f(Q)=U*A*(DT2-DT1)/ln(DT2/DT1)-Q
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TEXT
FILE |
DT1=T1-t1-Q/(M*Cp) # |
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POLYMATH
FILE |
DT2 = T1-t1-Q/(m*cp) # |
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M=43800.0 # |
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m=149000.0 # |
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Cp=0.605 # |
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U=55.0 # |
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A=662.0 # |
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T1=390.0 # |
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t1=100.0 # |
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cp=0.49 # |
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Q(min)=1000000, Q(max)=7000000 |
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| Variable/function values |
Variable |
Value |
f(x) |
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Q |
4000000 |
2.6608E+06 |
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DT1 |
139.05 |
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DT2 |
235.21 |
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t1 |
100 |
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cp |
0.49 |
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M |
43800 |
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m |
149000 |
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Cp |
0.605 |
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U |
55 |
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A |
662 |
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T1 |
390 |
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| Root |
Variable |
Value |
f(x) |
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Q |
5281024.23857737 |
9.3132E-10 |
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DT1 |
90.7085460365702 |
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DT2 |
217.6671108262300 |
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| Additional information |
Function value obtained by
substraction of 2 numbers |
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of the order of 5E6 in the
vicinity of the root. Care should be |
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given to specifying achievable
error tolerance. |
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| Function plot |
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