The figure below shows a rod of length 10 m positioned at steady state between two...

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The figure below shows a rod of length 10 m positioned at steady state between two walls of constant temperatures To = 40C and Ts = 200C. The finite-difference representation of the problem employs four interior nodes at X, X, X3 and x4. Heat can be conducted through the rod and simultaneously removed the heat by convection to the surrounding atmosphere which has a temperature of Ta = 40C. As an engineering student, you want to investigate the relationship between temperatures, T and the distances along a heated rod, x. Based on the values given in the figure below, develop analytical solution and numerical solution (i.e., MATLAB) based on your understanding on topic of Numerical Linear Algebra'. Show and explain every process of your solution. Plot graph to compare your analytical and numerical results. Use a heat transfer coefficient between the rod and surrounding air as h' =0.01 m- and spacing between nodes, Ax = 2 for the problem. The table below lists all the criteria that will be used to evaluate your answers. To 40 O x=0 3 T-20 2 Ax T= 20 S T = 200 https://www.mathworks.com/products/matlab-online.html 10 [50 Marks] Note: For the numerical solution, you are required to solve the problem using MATLAB. If you do not have the software, you can access MATLAB online via the web browser. You can visit the link below to access MATLAB online. The figure below shows a rod of length 10 m positioned at steady state between two walls of constant temperatures To = 40C and Ts = 200C. The finite-difference representation of the problem employs four interior nodes at X, X, X3 and x4. Heat can be conducted through the rod and simultaneously removed the heat by convection to the surrounding atmosphere which has a temperature of Ta = 40C. As an engineering student, you want to investigate the relationship between temperatures, T and the distances along a heated rod, x. Based on the values given in the figure below, develop analytical solution and numerical solution (i.e., MATLAB) based on your understanding on topic of Numerical Linear Algebra'. Show and explain every process of your solution. Plot graph to compare your analytical and numerical results. Use a heat transfer coefficient between the rod and surrounding air as h' =0.01 m- and spacing between nodes, Ax = 2 for the problem. The table below lists all the criteria that will be used to evaluate your answers. To 40 O x=0 3 T-20 2 Ax T= 20 S T = 200 https://www.mathworks.com/products/matlab-online.html 10 [50 Marks] Note: For the numerical solution, you are required to solve the problem using MATLAB. If you do not have the software, you can access MATLAB online via the web browser. You can visit the link below to access MATLAB online.

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