heat transfer by convection for wall in matlab

Here's an example code that demonstrates heat transfer by convection for a wall using Matlab:

main.m
% Input parameters
T_room = 25;              % [C] Room temperature
T_wall = 100;             % [C] Wall temperature
h = 10;                   % [W/m^2-C] Convective heat transfer coefficient
k = 0.5;                  % [W/m-C] Thermal conductivity of the wall
L = 0.1;                  % [m] Thickness of the wall
A = 1;                    % [m^2] Area of the wall
t_final = 3600;           % [s] Final time
dt = 1;                   % [s] Time step

% Initialization
t = (0:dt:t_final)';
N = length(t);
T = zeros(N,1);
T(1) = T_wall;

% Main loop
for i = 2:N
  q_conv = h*A*(T(i-1)-T_room);   % [W/m^2] Heat transfer by convection
  q_cond = k*A/L*(T(i-1)-T_room); % [W/m^2] Heat transfer by conduction
  q = q_conv - q_cond;
  dTdt = q/(A*L);                 % [C/s] Rate of temperature change
  T(i) = T(i-1) + dTdt*dt;        % [C] Temperature
end

% Plotting
plot(t,T)
xlabel('Time [s]')
ylabel('Temperature [C]')
title('Temperature Evolution of Wall with Convection Heat Transfer')
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This code defines the necessary input parameters such as room temperature (T_room), wall temperature (T_wall), convective heat transfer coefficient (h), thermal conductivity of the wall (k), thickness of the wall (L), and area of the wall (A).

It then initializes the time array (t), temperature array (T), and calculates the heat transfer by convection (q_conv) and by conduction (q_cond) at each time step using a simple energy balance equation. Finally, it plots the temperature evolution over time.

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