Assume a rod of length 0.2 m with the temperature at x = 0 maintained at 100°C. Assume a constant heat source of Q = 3x10° W/m³ along the length of the rod, a boundary heat flux of q = 3x10 W/m along the length of the rod, a boundary heat flux of q = 1.8x10 W/m² removing heat at x = 0.2 m, and thermal conductivity of k = 6000 W/m-°K. Assume the area of the rod is 0.4x10³ m². Use at least five linear elements and compute the temperature and flux distribution at each element node. Be sure to show the mesh, governing equations, and boundary conditions.

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Assume a rod of length 0.2 m with the temperature at x = 0 maintained at 100°C. Assume a constant
heat source of Q = 3x10° W/m³ along the length of the rod, a boundary heat flux of q = 3x106 W/m³
along the length of the rod, a boundary heat flux of q = 1.8x10 W/m² removing heat at x = 0.2 m, and
thermal conductivity of k= 6000 W/m-°K. Assume the area of the rod is 0.4x10³ m². Use at least five
linear elements and compute the temperature and flux distribution at each element node. Be sure to
show the mesh, governing equations, and boundary conditions.
A = 0.004 cm
2
Q= 3 x 10 °
0.2 m
Transcribed Image Text:Assume a rod of length 0.2 m with the temperature at x = 0 maintained at 100°C. Assume a constant heat source of Q = 3x10° W/m³ along the length of the rod, a boundary heat flux of q = 3x106 W/m³ along the length of the rod, a boundary heat flux of q = 1.8x10 W/m² removing heat at x = 0.2 m, and thermal conductivity of k= 6000 W/m-°K. Assume the area of the rod is 0.4x10³ m². Use at least five linear elements and compute the temperature and flux distribution at each element node. Be sure to show the mesh, governing equations, and boundary conditions. A = 0.004 cm 2 Q= 3 x 10 ° 0.2 m
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