Error in ODE45

Guys I tried to code a Stirred Tank Heater System using MATLAB, I modelled the equation and all

clc;
clear all;

T1_0 = 325.4;

tspan = [0 10];
[tsol,T1sol] = ode45(@(t,T1) heat(t,T1), tspan, T1_0);
plot(tsol,T1sol)
grid on
xlabel('t')
ylabel('T1')

title('Solutions of Heat Balance on Tank-1')

And this is the ode function "heat" that I have used

function dT1 = heat(t,T1) 

% Inputs

A2  = 7.854e-05;  %Cross-Sectional Area Tank 2
Tc  = 303;        %Cooling Water Temp
T2  = 320.1;      %Tank 2 Temp
h2  = 0.41;       %Level h2
rho_w = 1000;     %Density in kg/m3
Cp  = 4182;       %Cp value in J/KgK


u1  = 0.45;       %Flow F1
F1_A =  8.0368e-11;
F1_B =  456.85e-11;
F1_C =  42379e-11;
F1 = F1_A*(u1^3)-F1_B*(u1^2)+F1_C*(u1);


u4  = 0.45;       %Heat Input Q1
Q1_A =  7.9798;
Q1_B =  0.9893;
Q1_C =  0.0073;
Q1 = Q1_A*(u4)+Q1_B*(u4^2)-Q1_C*(u4^3);



dT1 = (F1(Tc-T1)+Fr(T2-T1)+(Q1/rho_w*Cp))/(A2*h2);

end

But I am getting the following errors when I run the code.

Array indices must be positive integers or logical values.

Error in heat (line 29)

dT1 = (F1(Tc-T1)+Fr(T2-T1)+(Q1/rho_w*Cp))/(A2*h2);

Error in CACE>@(t,T1)heat(t,T1) (line 7)

[tsol,T1sol] = ode45(@(t,T1) heat(t,T1), tspan, T1_0);

Error in odearguments (line 90)

f0 = feval(ode,t0,y0,args{:}); % ODE15I sets args{1} to yp0.

Error in ode45 (line 115)

odearguments(FcnHandlesUsed, solver_name, ode, tspan, y0, options, varargin);

Error in CACE (line 7)

[tsol,T1sol] = ode45(@(t,T1) heat(t,T1), tspan, T1_0);

Please, any help would be nice

Answer 1

[madhan ravi]

MATLAB doesn't have implicit multiplication, hence:

 dT1 = (F1*(Tc-T1)+Fr*(T2-T1)+(Q1/rho_w*Cp))/(A2*h2);

Note: Fr is not defined in your code.

[Ajmal R S]

Yes, I forgot to include that, but the mistake was in the multiplication. Thank you

Answer 2

[GRK]

There are two errors in this code. first one is that there is no variable name called Fr.

Second one is F1 shoulde be multipliead it means you have to use multiply symbole (*) when you want to multiply some thing.

as per my assumption F1 = Fr i think. Just Replace the below Formula with the original formula and Run the program.

dT1 = (F1*(Tc-T1)+F1*(T2-T1)+(Q1/rho_w*Cp))/(A2*h2);

[Ajmal R S]

No, I am sorry. It was my mistake. I forgot to add the Fr function, I added it and got the answer. Thank you for your help

[SIDDABOENA Laxmi Venkata Sai]

share your matlab code AJMAL RS