MET 425 FEA Heat Transfer Exercise

Concepts:

• 2D Modeling/Simulation (ANSYS Workbench)
• Steady State Heat Transfer
• Conduction and Convection w/ Simple Radiation

  The figure shows a 2D section of a composite wall subject to a steady-state heat transfer condition.  (All dimensions are in meters).

There are six materials in this construction (A, B, C, D, E, and F). Assume unit depth (1 m.) for the model.

k_A = 2, k_B = 8, k_C = 20, k_D = 15, k_E = 35, and k_F = 2 W/m-^oC

Each section is in perfect contact with adjacent sections (no contact resistance).

The top and bottom edges are adiabatic.

On the left side:

• Heat enters the model at a rate of 600 W

• the left face radiates to/from the surroundings with an emissivity of 1.0 and a view factor of 1.0

• T_SURR = 150^oC

On the right side (convection only): T₂ = 50^oC and h₂ = 95 W/m²-^oC

Turn in:

• a geometry plot showing multiple bodies for this structure with different material names (or ID's)
• an Environment plot showing ALL loads and boundary conditions 
• a final results contour plot of the temperature distribution in the part
• report the mesh error % (TEPC) for your model (consider each body, separately).  You may use a table to report TEPC, rather than 7 plots.
• the ANSYS reaction solution (heat flow at the right convection face) compared to a hand calculation of the total heat flow.  Report what fraction (or %) of heat leaves the model by convection and what fraction (or %) leaves by radiation.
  Required: you must use MathCAD for these calculations (with units on every term):
• hand calculation of the average surface temperature on the left face of the model, compared to the ANSYS-WB temperature display (scoped to that edge)
• hand calculation of the temperature at point “X” (which is the point where the corners of sections D and E meet section B), compared to the ANSYS-WB PROBE results plot.