Consider a 2 m long and 0 7 m wide stainless steel plate whose thickness is 0 1 m The left surface of the plate is exposed to a uniform heat flux of 2000 W m 2 while the right surface of the plate is exposed to a convective environment at 0C with h 400 W m 2 K The thermal conductivity of the stainl...

The Answer is in the image, click to view ...

Consider a 2-m-long and 0.7-m-wide stainless-steel plate whose thickness is 0.1 m. The left surface of the

Question:

Consider a 2-m-long and 0.7-m-wide stainless-steel plate whose thickness is 0.1 m. The left surface of the plate is exposed to a uniform heat flux of 2000 W/m² while the right surface of the plate is exposed to a convective environment at 0°C with h = 400 W/m² · K. The thermal conductivity of the stainless steel plate can be assumed to vary linearly with temperature range as k(T) = k_o(1 + βT) where k_o = 48 W/m · K and β = 9.21 × 10^-4 °C^-1. The stainless steel plate experiences a uniform volumetric heat generation at a rate of 8 × 10⁵ W/m³. Assuming steady state one-dimensional heat transfer, determine the temperature distribution along the plate thickness.