H. Scott Fogler Example 7-9 -polymath results-Bactera Growth in a Batch Reactor

ODE Report (RKF45)

polymath file

https://hotfile.com/dl/202182217/eca013b/7-9.pol.html

Differential equations as entered by the user
[1] d(Cc)/d(t) = rg-rd
[2] d(Cs)/d(t) = Ysc*(-rg)-rsm
[3] d(cp)/d(t) = Ypc*rg

Explicit equations as entered by the user
[1] kd = 0.01
[2] Ysc = 1/0.08
[3] ks = 1.7
[4] m = 0.03
[5] rd = kd*Cc
[6] cpp = 93
[7] umax = 0.33
[8] Ypc = 5.6
[9] rg = umax*((1-cp/cpp)^0.52)*Cc*Cs/(ks+Cs)-kd*Cc
[10] rsm = m*Cc

Independent variable
variable name : t
initial value : 0
final value : 12

Precision
Step size guess. h = 0,000001
Truncation error tolerance. eps = 0,000001

General
number of differential equations: 3
number of explicit equations: 10