Question

Anyone able to help with this 3-D plotting on Matlab

Question 1: Three edges of a rectangular plate (a 5 m, b 4 m) are kept at a temperature of O C and one side is kept at a temperature T 80 C, as shown in the figure, on bottom-left. Determine and plot the following temperature distribution Tx,y) in the plate sin ((2n-1)쯤) sinh ((2n-1) 同 (2n-1)sinh((2n-1) TEY 471 7(x, y) = Heat conduction through a square plate a) Create an X-Y grid in the domain 0

Answer 1

MATLAB Script

%%
clear
clc

a = 5;
b = 4;
T1= 80;

x = 0:a/19:a;
y = 0:b/15:b;

n = 10; %Number of Fourier terms

T_temp = zeros(n,1);
T = zeros(length(y),length(x));

for i = 1:length(y)
for j = 1:length(x)
for k = 1:n
  
T_temp(k) = (sin((2*k-1)*(pi*x(j)/a))*sinh((2*k-1)*(pi*y(i)/a)))/((2*k-1)*sinh((2*k-1)*(pi*b/a)));
T(i,j) = (4*T1/pi)*sum(T_temp);
  
end
end
end

%% Plotting the graph
s = surf(x,y,T);
colormap('jet')
s.EdgeColor = 'none';
S.facecolor = 'interp';
xlabel 'x (m)'
ylabel 'y (m)'
zlabel 'T (deg. C)'

Graph:

100 ト40 0 3.5 4.5 2.5 3.5 1.5 2.5 1.5 0.5 0.5 y (m) x (m)