plot temperature distribution of a plane wall undergoing constant convection via a fluid on the right side and large heat flux from the left side for 0.2 seconds every 1 second in matlab

To plot the temperature distribution of a plane wall undergoing convection via a fluid on the right side, and large heat flux from the left side for 0.2 seconds every 1 second in MATLAB, you can use the finite difference method to solve the heat equation numerically.

First, define the parameters of the problem such as the thermal conductivity of the wall, the velocity of the fluid and its temperature, the heat flux from the left side, and the initial temperature distribution of the wall.

Then, discretize the wall into small segments and establish a time-step for numerical integration.

Next, use MATLAB to solve the heat equation using finite difference method by iterating over time steps. At each time step, calculate the temperature distribution of each segment of the wall based on its previous temperature and the temperature of the adjacent segments.

Finally, plot the temperature distribution of the wall as a function of time and distance.

Here is an example MATLAB code that implements the above procedure:

main.m
% Define parameters
k = 100; % thermal conductivity of the wall (W/mK)
rho = 7800; % density of the wall (kg/m^3)
cp = 450; % specific heat capacity of the wall (J/kgK)
h = 50; % convective heat transfer coefficient with fluid (W/m^2K)
Tinf = 300; % temperature of the fluid (K)
q = 50000; % heat flux from the left side (W/m^2)

L = 0.1; % length of the wall (m)
n = 50; % number of segments to discretize the wall
dx = L/n; % length of each segment (m)
A = dx*dx; % area of each segment (m^2)
t = 0:0.1:10; % time steps to iterate over

% Initialize temperature distribution
T = ones(1,n)*300; % initial temperature distribution of the wall (K)

% Solve heat equation using finite difference method
for i=1:length(t)
    dt = t(i) - t(i-1); % time step
    for j=1:n
        if j==1 % left boundary
            T(j) = T(j) + q/k*A*dt/(rho*cp*dx);
        elseif j==n % right boundary
            T(j) = T(j-1) - h*A*dt/k*(T(j-1)-Tinf)/dx;
        else % interior nodes
            T(j) = T(j) + k*dt/(rho*cp*dx*dx)*(T(j-1)-2*T(j)+T(j+1));
        end
    end
    
    % Plot temperature distribution of the wall
    figure(1); clf; hold on
    plot(linspace(0, L, n), T, 'r-', 'LineWidth', 2)
    xlabel('Distance (m)')
    ylabel('Temperature (K)')
    title(sprintf('Temperature distribution at t=%0.1f sec', t(i)))
    ylim([200 500])
    hold off
end
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Note that the above code sets the time step to 0.1 seconds, which is smaller than the heat flux period of 1 second, so the temperature distribution of the wall changes every time step. You can change the time step to match the heat flux period if needed. Also, you may need to adjust the parameters to match your specific problem.

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