Matlab 2D heat conduction Problem including Convective, Heat Flux, and Adiabatic boundary conditions together!

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Julia 2023-11-29

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Hello everyone.

I am trying to solve 2D steady heat conduction problem as shown.

The thing is I am actually stucked in the loop stage because I dont know where to start.

I arranged dx and dy values same as 10^-4 meters so that the formulation becomes easier to write. I can simply finite difference equations since delta"x" = delta"y"

The domain is 51x301 matrix. Basically an rectangular geometry.

I need suggestion where to start writing loops and also

I also added a review page where I derived some of the nodes equations which may give you and idea.

Thanks a lot!

clear;

clc;

%% constants

a = 0.0025;

b =0.005;

l = 0.015;

k = 1.1;

h1= 15;

T_inf = 20;

flux = 2000;

%% creating the domain

L = 2*l;

h = 0.005;

Nx = 301;

Ny = 51;

dx = L/(Nx-1);

dy = h/(Ny-1);

%% boundary conditions

T=ones(Ny,Nx);

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