Hello friends I wrote this code because,. But when I run the code, plot is wrong
Information about the system:
We have a lake which have zero concentration of organic pollutant C0=0mg/L, but there is an inflow to the lake which contain organic pollutant with a concentration Cin=31mg/L , when we measure the concentration of organic pollutant in the lake when t=15day=5475hr
C5475=12mg/L. I guess It should increase to the Cin=31mg/L
Cin= Concentration which is inflow of the system(lake), it is consumed with a rate k=5*(10^-6)
C=concentration of the lake, because of being complete mix system C=Cout.
V=volume of the lake
Q=inflow and ourflow of the lake
Min=total mass flux which also equal to Q*Cin
r=k.Cin*exp(-k*t)^2 which is second order decay reaction term
Actual complete mix system formula:
V*(dC/dt)=((Q*Cin)-(Q*C)-(r*V))
How to write a proper code for my purpose? Could you help me please, I need your help?
clear all;clc;close all;%15day=365hr*15day=5475hr
C0=0;C5475=12;tspan = [0 5475]; [t,C]=ode45(@concentration, tspan, C0);plot(t,C)xlabel('time (hr)')ylabel('Concentration (mg/L)')function dCdt=concentration(t,C)k=5*(10^-6);A=100*10000;h=2.5;V=(A*h)/1000;Q=500000;Min=15.5*1000000;Cin=Min/Q;dCdt=((Q*Cin)/V-(Q*C)/V-(k*(Cin*exp(-k*t)^2)));end
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