Answer to Question #283103 in Mechanical Engineering for tricky

Question

This problem consist of analyzing the accuracy of the finite element method in modeling the plane wall thermal problem. The plane wall is 1 m thick. The left surface of the wall (x=0) is maintained at a constant temperature of 200˚C, and the right surface (x=L=1 m) is insulated. The thermal conductivity is Kxx=25 W/(m ˚C) and there is a uniform generation of heat inside the wall of Q=400 W/m3 .

4. Use the FE interpolation function, 𝑇𝑇(𝑥𝑥) = ∑ 𝑁𝑁(𝑥𝑥)𝑑𝑑 = [𝑁𝑁]{𝑑𝑑} to plot the FE results along the length of the wall. Compare your results against the analytical solution. Nodal points should be labeled using a Marker (o, +, d, s, etc). Interpolation points should be connected with a line.

5. Develop a function that computes the second norm of the error (the difference between FE and the analytical solution throughout the length). The error should be computed at both the nodal points and interpolation points.  

Answer 1

answer with diagram is below:

your diagram is missing !!