Question: only solve problem 4 please 1. Solve with hand calculations for the distribution of temperature in a hollow cast-iron tube using the mesh shown below.

only solve problem 4 pleaseonly solve problem 4 please 1. Solve with hand calculations for thedistribution of temperature in a hollow cast-iron tube using the mesh shown

1. Solve with hand calculations for the distribution of temperature in a hollow cast-iron tube using the mesh shown below. Assume the boundary conditions as indicated. Ro 2 / T=Tw homogeneous, isotropic, thermal conductivity k film condition ambient temperature Ta, film coefficient ho Tw=80 deg C, Ta=-7 deg C, k=53 W/m/deg K Ri=0.013m, Ro= 0.031 m, ho=150 W/m^2/deg K Node 1 2 3 4 DOF 2143 Triangle connectivity 2,1,4 2.4,3 Boundary Element connectivity 2,1 Take as the origin of the coordinate axes the center of the tube. The calculation should have level of detail similar to that presented in Section 3.11 of the textbook. 2. Sketch two level curves of the temperature on the mesh. For both triangles of the mesh calculate the heat flux in their interior and sketch the heat flux as vectors. For the film-condition boundary, calculate the normal component of the heat flux passing from the surface of the tube into the surrounding fluid. 4. Extra 5 points. Write Python code to compute and assemble the surface heat transfer (film condition) matrix and load term. 1. Solve with hand calculations for the distribution of temperature in a hollow cast-iron tube using the mesh shown below. Assume the boundary conditions as indicated. Ro 2 / T=Tw homogeneous, isotropic, thermal conductivity k film condition ambient temperature Ta, film coefficient ho Tw=80 deg C, Ta=-7 deg C, k=53 W/m/deg K Ri=0.013m, Ro= 0.031 m, ho=150 W/m^2/deg K Node 1 2 3 4 DOF 2143 Triangle connectivity 2,1,4 2.4,3 Boundary Element connectivity 2,1 Take as the origin of the coordinate axes the center of the tube. The calculation should have level of detail similar to that presented in Section 3.11 of the textbook. 2. Sketch two level curves of the temperature on the mesh. For both triangles of the mesh calculate the heat flux in their interior and sketch the heat flux as vectors. For the film-condition boundary, calculate the normal component of the heat flux passing from the surface of the tube into the surrounding fluid. 4. Extra 5 points. Write Python code to compute and assemble the surface heat transfer (film condition) matrix and load term

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