GATE Mechanical 2024 | Question: 38

Question

Consider a slab of $20 \mathrm{~mm}$ thickness. There is a uniform heat generation of $\dot{q}=100 \mathrm{MW} / \mathrm{m}^{3}$ inside the slab. The left and right faces of the slab are maintained at $150^{\circ} \mathrm{C}$ and $110^{\circ} \mathrm{C}$, respectively. The plate has a constant thermal conductivity of $200 \mathrm{~W} /(\mathrm{m} . \mathrm{K})$. Considering a $1-\mathrm{D}$ steady state heat conduction, the location of the maximum temperature from the left face will be at ________ $\mathrm{mm}$ (answer in integer).