HW6_3 For a system of nine interconnected tanks (shown at right), the mass- balance equations are: roi Co1 + r41C4 = (r12 +r15)C1 ro2C02 + r12C1 + r52©5 = (r23 + r26)©2 r'03C03 + r23C2 = r36C3 (r41 + ras + r45)c4 T15C1 + r45C4 = (r52 + rs8 + rs9)C5 T04C04 + r74c7 = ro6 C06 + r26©2 + r36C3 = "69C6 ro7C07 + r87Cg = r74C7 Tos Cos + 158C5 + r48C4 (rs7 + rs9)cs T'59C5 + ro9C6 + r'89C8 = rC9 The concentration of chemical inflow into tank T, is designated c, and the initial concentration in tank T, is designated Co. The flow rate from tank T, to Tj is designated rj. Furthermore, the total flow into each tank must equal the flow out, r (from tank 9). Given initial concentrations: Co1=1, Coz=2, Co3=1, Cos=2, Cos=1, Co7=1 and Cos=1, in g/L given flow rate between tanks: r12=6, ris=2, r3=5, r2s=5, rss=8, ra1=5, ras=1, ras=1, rsz=1, rse=2, rs9=1, res=15, r7=4, ray=2, ras=3, in L/min and given external flow rates (i.e., inflow into the tanks from outside): ro1=3, ro2=3, ro3=3, ro4=3, ros=2, ro;=2, ros=3, in L/min Note: r= ro1 + roz + ras + roa + ros + ro7+ ro8

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Coding problems:
HW6_3 For a system of nine interconnected tanks (shown at right), the mass-
balance equations are:
ro1 Co1 + T41C4
ro2C02 + r12C1+r52C5 =
(r12 + r15)C1
(r23 + r26)c2
T03C03 + 123C2
= r36C3
(r41 +r48 + r45)C4
T15C1 + T45C4 = (r52 + r58 + r59)C5
r04 C04 + 774C7 =
r06 C06 + r26C2 + r36C3 = r69C6
ro7 C07 + r87 Cs = 174C7
ro8 Co8 + r58 C5 + T48C4 =
(rs7 + rs9)Cs
r'59C5 + r69C6 + T89C8 = rc9
The concentration of chemical inflow into tank T, is designated c, and the initial concentration in tank T, is
designated Coi. The flow rate from tank Ti to Tj is designated rij. Furthermore, the total flow into each tank must
equal the flow out, r (from tank 9).
Given initial concentrations:
Co1=1, Co2=2, Co3=1, coa=2, Co6=1, Co7=1 and Cos=1, in g/L
given flow rate between tanks:
r12=6, rıs=2, r23=5, r26=5, r36=8, ra1=5, ras=1, ras=1, rsz=1, rss=2, rs9=1, r69=15, r74=4, r37=2, ras=3, in L/min
and given external flow rates (i.e., inflow into the tanks from outside):
roz=3, ro2=3, ro3=3, ro4=3, ro6=2, roz=2, ros=3, in L/min
Note: r= ro1 + roz + ro3 + roa + ro6 + ro7 + ros
ME2315 Computer-Aided Analysis Spring 2022
HW #6 due 03/02/2022
page 2 of 2
With these given parameters we can solve for the concentrations in the tanks. Write a MATLAB script to solve
for these concentrations using Gauss-Seidel, to an accuracy of 5 sig figs. Use fprintf statement to print the
final answer.
Transcribed Image Text:Coding problems: HW6_3 For a system of nine interconnected tanks (shown at right), the mass- balance equations are: ro1 Co1 + T41C4 ro2C02 + r12C1+r52C5 = (r12 + r15)C1 (r23 + r26)c2 T03C03 + 123C2 = r36C3 (r41 +r48 + r45)C4 T15C1 + T45C4 = (r52 + r58 + r59)C5 r04 C04 + 774C7 = r06 C06 + r26C2 + r36C3 = r69C6 ro7 C07 + r87 Cs = 174C7 ro8 Co8 + r58 C5 + T48C4 = (rs7 + rs9)Cs r'59C5 + r69C6 + T89C8 = rc9 The concentration of chemical inflow into tank T, is designated c, and the initial concentration in tank T, is designated Coi. The flow rate from tank Ti to Tj is designated rij. Furthermore, the total flow into each tank must equal the flow out, r (from tank 9). Given initial concentrations: Co1=1, Co2=2, Co3=1, coa=2, Co6=1, Co7=1 and Cos=1, in g/L given flow rate between tanks: r12=6, rıs=2, r23=5, r26=5, r36=8, ra1=5, ras=1, ras=1, rsz=1, rss=2, rs9=1, r69=15, r74=4, r37=2, ras=3, in L/min and given external flow rates (i.e., inflow into the tanks from outside): roz=3, ro2=3, ro3=3, ro4=3, ro6=2, roz=2, ros=3, in L/min Note: r= ro1 + roz + ro3 + roa + ro6 + ro7 + ros ME2315 Computer-Aided Analysis Spring 2022 HW #6 due 03/02/2022 page 2 of 2 With these given parameters we can solve for the concentrations in the tanks. Write a MATLAB script to solve for these concentrations using Gauss-Seidel, to an accuracy of 5 sig figs. Use fprintf statement to print the final answer.
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