radioisotope thermal design in matlab

main.m
% Define constants
k = 0.1; % Thermal conductivity
Q = 100; % Heat generation rate
T_inf = 25; % Ambient temperature
h = 5; % Convective heat transfer coefficient
epsilon = 0.9; % Emissivity
sigma = 5.67e-8; % Stefan-Boltzmann constant

% Define geometry and dimensions
L = 0.1; % Length of the radioactive material
A = 0.01; % Cross-sectional area

% Discretization
N = 100; % Number of nodes
dx = L / N; % Node spacing

% Initialize temperature array
T = ones(N, 1) * T_inf;

% Perform iterations for temperature calculation
for i = 1:1000
    % Calculate conduction term
    dT_conduction = (k * (T(i+1) - T(i)) - k * (T(i) - T(i-1))) / dx^2;
    
    % Calculate convection term
    dT_convection = h * A * (T_inf - T(i));
    
    % Calculate radiation term
    dT_radiation = epsilon * sigma * A * (T_inf^4 - T(i)^4);
    
    % Update temperature
    T(i) = T(i) + (dT_conduction + dT_convection + dT_radiation) * dt;
end

% Plot the temperature distribution
plot(linspace(0, L, N), T)
xlabel('Length')
ylabel('Temperature')
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