MATLAB

column. The number of rows in TM must be the same as the number of time steps, and the number of columns in TM must be equal to the number of nodes. Suppose that we want to analyze the bar using 5 nodes from 0 to 300 seconds, with time slices At 0.1 seconds. Open a new script file and initialize the following values: clear % Define thermal diffusivity for aluminum lpha97.110(-6) % Define the total time, in seconds totalTime-300 % Define delta t, in seconds dt-0.1i % Define number of nodes in the bar nodes5i % Define the length of the bar, in meters len0.2 % Calculate the distance between nodes, delta x dx-(lennodes 1)) % Define the number of time steps The plus 1 is necessary because the time starts at t-0 sec timeSteps totalTime/dt li % Define the Temperature Matrix, TM TMzeros (timeSteps, nodes) Suppose that the initial temperature ofthe bar is 20C, but starting at time t = 0 seconds, the ends of the bar are heated to 200C and kept at a constant 200C for the duration of the experiment. Initialize TM to reflect the initial temperature conditions. % initialize the temperature matrix t The 1rst row is the initial 2U degrees C The first and last columns are 200 degrees C TM (1, -20 TM(, 1)200; TM (, nodes)- 200; % initial temperature % constant temperature on left side constant temperature on right side The commands above initialize the TM matrix with the values shown below T1 T2 T T Ts 200 20 20 20 200