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.
回答（1 个）
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 个评论
Reji G
2022-9-17
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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