Plotting 2D Temperature Distribution
1 view (last 30 days)
Show older comments
Hi, I am having a problem plotting 2d Temperature Distribution on a geometry.
I have solved it using Finite difference method,the temperatures of all the nodes.

That is the proble, i choose the mesh size of 0.05cm, i just need to draw and plot the temperatures obtained from the code the code is as below
clc
clear all
Tinf=295;
Tc=3350;
h_a=5; % air h
h_c=8800; % coolant h
h_cc=2350; % combustion chamber h
l=0.0005; % mesh size
k=14.9; % Thermal conductivity 304 Steel
h_a_f=h_a*l/k;
h_c_f=h_c*l/k;
h_cc_f=h_cc*l/k;
Ta=295;
Tc=183;
Tcc=3350;
% The grid has 31 nodes,
t1=[-2-h_a_f,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0];
t2=[1,-3-h_a_f,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0];
t3=[0,1,-3-h_a_f,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0];
t4=[0,0,1,-3-h_a_f,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0];
t5=[0,0,0,1,-2-h_a_f,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0];
t6=[1,0,0,0,0,-3,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0];
t7=[0,1,0,0,0,1,-4,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0];
t8=[0,0,1,0,0,0,1,-4,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0];
t9=[0,0,0,1,0,0,0,1,-4,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0];
t10=[0,0,0,0,1,0,0,0,1,-3,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0];
t11=[0,0,0,0,0,1,0,0,0,0,-3-h_c_f,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0];
t12=[0,0,0,0,0,0,1,0,0,0,1,-4-h_c_f,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0];
t13=[0,0,0,0,0,0,0,1,0,0,0,1,-3-h_c_f,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0];
t14=[0,0,0,0,0,0,0,0,1,0,0,0,1,-3-h_c_f,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0];
t15=[0,0,0,0,0,0,0,0,0,1,0,0,0,1,-2-h_c_f,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0];
t16=[0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,-3,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0];
t17=[0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,-3-h_c_f,0,1,0,0,0,0,0,0,0,0,0,0,0,0];
t18=[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,-3,1,1,0,0,0,0,0,0,0,0,0,0,0];
t19=[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,-3-h_c_f,0,1,0,0,0,0,0,0,0,0,0,0];
t20=[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,-3,1,1,0,0,0,0,0,0,0,0,0];
t21=[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,-3-h_c_f,0,1,0,0,0,0,0,0,0,0];
t22=[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,-3,1,0,0,0,1,0,0,0,0];
t23=[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,-4-h_c_f,1,0,0,0,1,0,0,0];
t24=[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,-3-h_c_f,1,0,0,0,1,0,0];
t25=[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,-3-h_c_f,1,0,0,0,1,0];
t26=[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,-2-h_c_f,0,0,0,0,1];
t27=[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,-2-h_cc_f,1,0,0,0];
t28=[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,-3-h_cc_f,1,0,0];
t29=[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,-3-h_cc_f,1,0];
t30=[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,-3-h_cc_f,1];
t31=[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,-2-h_cc_f];
A=[t1;t2;t3;t4;t5;t6;t7;t8;t9;t10;t11;t12;t13;t14;t15;t16;t17;t18;t19;t20;t21;t22;t23;t24;t25;t26;t27;t28;t29;t30;t31];
B=[-h_a_f*Ta;
-h_a_f*Ta;
-h_a_f*Ta;
-h_a_f*Ta;
-h_a_f*Ta;
0;
0;
0;
0;
0;
0;
-h_c_f*Tc;
-h_c_f*Tc;
-h_c_f*Tc;
-h_c_f*Tc;
0;
-h_c_f*Tc;
0;
-h_c_f*Tc;
0;
-h_c_f*Tc
0;
-h_c_f*Tc;
-h_c_f*Tc;
-h_c_f*Tc;
-h_c_f*Tc;
-h_cc_f*Tcc;
-h_cc_f*Tcc;
-h_cc_f*Tcc;
-h_cc_f*Tcc;
-h_cc_f*Tcc];
X=linsolve(A,B)
a=rectangle('Position',[0 0 25 5]);
hold on
b=rectangle('Position',[0 5 5 20]);
c=rectangle('Position',[0 25 25 10]);
axis([-5 30 -5 40]);
Just need to plot it, either by using coordinates or by rectangle or any command
1 Comment
Answers (0)
See Also
Categories
Find more on Contour Plots in Help Center and File Exchange
Community Treasure Hunt
Find the treasures in MATLAB Central and discover how the community can help you!
Start Hunting!