D or mu Cs rs rp Y_sp Y_sx X Qp0,010000 22,222222 0,025000 0,000211 0,008431 0,400000 3991,111111 0,8412180,020000 50,000000 0,045000 0,000435 0,009662 0,444444 4422,222222 1,9227050,030000 85,714286 0,065000 0,000650 0,010002 0,461538 4575,824176 2,9749940,040000 133,333333 0,085000 0,000822 0,009670 0,470588 4643,137255 3,8162770,050000 200,000000 0,105000 0,000909 0,008658 0,476190 4666,666667 4,2424240,060000 300,000000 0,125000 0,000882 0,007059 0,480000 4656,000000 4,1082350,070000 466,666667 0,145000 0,000742 0,005118 0,482759 4602,298851 3,4151330,080000 800,000000 0,165000 0,000519 0,003148 0,484848 4460,606061 2,3171980,090000 1800,000000 0,185000 0,000259 0,001402 0,486486 3989,189189 1,0346600,098000 9800,000000 0,201000 0,000050 0,000251 0,487562 97,512438 0,004922

F in=F=dvdt; D=F

V=1V

∗dvdt; F out=0

Cs=constant

Balance de masa general

dCs/dt = D*( Cfs - Cs) - rs*X

Biomasa

dX/dt=( µ-D).X

Producto

dcp/dt =D.( Cpf_Cp)+ rp.x

fed-batch

D= rs.x/(cfs-cs)

Yxs=rs/µ0

rs= Yxs. µ0

D = Yxs . µ0 .X / (cfs-cs)

F(t) = Yxs . µ0 .(X.V) / (cfs-cs)

F(t) = Yxs . µ0 .(X0.V0).e e(µ0.t)/ (cfs-cs)

Datos:

Yxo = 60 mmol oxigeno (g DW)-1

Condiciones iniciales V0 = 30 m3

S0 = 0

Vmax = 80 m3

Sf,max = 500 g/l

X0,max =5 g/l

Kla = 600 h-1

mu = 0.03 X0=5Csf t (hr) X(t) V(t) F(t) Kla Cp Qp Cp*V Cs consumed Overall Yeild

100 93 30,6559 79663,314 1587,4 282,9778 0,66437 0,0071438 52925,92 4966331,436 0,01065694200 83 37,7115 47974,574 587,987 348,1058 0,81728 0,0098467 39208,48 3594914,739 0,01090665300 97 56,4209 48803,198 596,596 520,8082 1,22274 0,0126056 59673,8 5640959,534 0,01057866400 105 72,701 48148,052 568,817 671,0858 1,57556 0,0150054 75860,27 7259220,989 0,01045019500 95 63,8915 40587,058 337,112 589,7675 1,38465 0,0145752 56198,67 5293529,098 0,01061648