A plane wall of thickness \(4 \mathrm{~mm}\) has internal heat generation of \(25 \mathrm{MW} / \mathrm{m}^{3}\) with thermal properties of \(k=20 \mathrm{~W} / \mathrm{m}^{\circ} \mathrm{C}, p=8000 \mathrm{~kg} / \mathrm{m}^{3}\) and specific heat \(C_{p}=500 \mathrm{~J} / \mathrm{kg}{ }^{\circ} \mathrm{C}\). It is initially at a uniform temperature of \(50^{\circ} \mathrm{C}\) and is suddenly subjected to heat generation and convective boundary condition as shown in Figure 6.13. Calculate the temperature at a location of \(2 \mathrm{~mm}\) after 10 seconds.

Transcribed Image Text:

h = 500 W/m C T = 30C h = 400 W/m C Ta= 100C