A 2-meter long prism with square cross-section of side 0.1m is made of stainless steel with a thermal conductivity k=14.9W/mC. The prism is connected on the left-hand side to a molten metal tank with temperature To=2000C. The periphery of the prism is cooled by a slow air stream at T=30C with heat transfer coefficient h=10W/m2C. The right-hand side of the prism is isolated. Determine the temperature distribution inside the prism T(x) and evaluate the temperature at the midpoint (x=1m).
