Posted: January 9th, 2022
(a) A fin with a length of L has a uniform cross-sectional area A and thermal conductivity k, as shown in Figure 12.23. A linearly distributed heat supply is applied on the fin. The temperature at the left end is fixed at T0, and the heat flux at the right
end is q0. The governing equation for the fin is given by
Develop the finite element equation for a two-node element.
(b) If L = 8 m, A = 1 m2, k = 5 J/◦C ms, Q = 100 J/sm, T0 = 0 and q0 = 15 J/m2s, determine the temperatures at the nodes by using two linear elements.
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