(a) A fin with a length of L has a uniform cross-sectional area A and thermal conductivity k, as shown in Figure

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.