A thick-walled, stainless steel (AISI 316) pipe of inside and outside diameters Dᵢ = 15 mm and Dᵒ = 40 mm is heated electrically to provide a uniform heat generation rate of q = 0.8 times 10⁶ W/m³. The outer surface of the pipe is insulated, while water flows through the pipe at a rate of m - 0.1 kg/s.
(a) If the water inlet temperature is Tₘ,ᵢ = 20 degree C and the desired outlet temperature is Tₘ,ₒ = 40 degree C, what is the required pipe length?
(b) What is the value of the maximum pipe temperature?