A composite wall consists of three materials, as shown in figure,

The outer temperature $T_0 = 20$ $^0C$ Convection hear transfer takes place on the inner surface of the wall with $T_\infty = 800$ $^0C$ and h = 30 W / $m^2 $ $^0C$.Determine temperature distribution in the wall.

$$k_1 = 25 W/ m.^0C$$

$$k_2 = 30 W/ m.^0C$$

$$k_3 = 70 W/ m.^0C$$

Mumbai University > Mechanical Engineering > Sem 6 > Finite Element Analysis

Marks: 10M

Year: May 2015

Elemental Stiffness Matrix,

$K_1 = \frac{K_1A}{L_1}\begin{bmatrix} \ 1 & -1 \\ \ -1 & 1 \\ \end{bmatrix} + \begin{bmatrix} \ h.A & 0 \\ \ 0 & 0 \\ \end{bmatrix} \\ K_1 = \frac{25 \times 1}{0.3} \begin{bmatrix} \ 1 & -1 \\ \ -1 & 1 \\ \end{bmatrix} + \begin{bmatrix} …