Calculate the heat loss per meter length of pipe and temp of the outer surface of the insulation

Question

Steam is flowing through an insulated steel pipe shown in the fig, is losing heat to the surroundings. The details are as follows                                                                                                                                                  

Inner radius of steel pipe = 50mm,

Radius of the steel pipe = 57mm,

Outer radius of insulation = 157 mm,

Thermal conductivity of steel = 43 W/mK

Thermal conductivity of insulating material = 0.1 w/mK

Heat transfer coefficient on steam side = 570 W/m²K

Heat transfer coefficient on air side = 12W/m²K

Temperature of steam = 500⁰C

Temperature of surroundings = 30⁰C

      Calculate the heat loss per meter length of pipe and temp of the outer surface of the insulation