Heat transient equation not executing
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I want to implement this formula in matlab. But i couldn't. So it'd be great if anyone can help me. Where x&t ranges from 0.1 to 10.
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Torsten
am 17 Sep. 2022
The terms in your series do not agree with the formula you posted.
You must decide which one is correct and which one is wrong.
clc;
close all;
clear all;
T1 = 300;
Ti = 350;
L = 10;
alpha = 100;
syms n t x
T = symsum((exp(((-n*pi)/(2*L))*(alpha*t)))*sin((n*pi*x)/(2*L)),n,1,20);
T = T1+4/pi*(Ti-T1)*T;
T = matlabFunction(T);
x = 0:0.1:L;
t = 0:0.1:1;
[X,TIME] = meshgrid(x,t);
surf(TIME,X,T(TIME,X))
2 Kommentare
Torsten
am 17 Sep. 2022
clc;
close all;
clear all;
T1 = 300;
Ti = 350;
L = 10;
alpha = 100;
syms n t x
T = symsum((exp(((-n*pi)/(2*L))*(alpha*t)))*sin((n*pi*x)/(2*L)),n,1,20);
T = T1+4/pi*(Ti-T1)*T;
T = matlabFunction(T);
x = 0:0.01:L;
t = 0.1;
figure(1)
plot(x,T(t,x))
x = L/2;
t = 0:0.001:0.5;
figure(2)
plot(t,T(t,x))
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