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Ice slurry is being transported in a pipe (k = 15 W/m·K, Di =2.5 cm, Do = 3 cm, and L = 5 m) with an inner surface temperatureof 0°C. The ambient condition surrounding the pipe has atemperature of 20°C and a dew point at 10°C. A blower is locatednear the pipe, which provides blowing air across the pipe at avelocity of 2 m/s. If the outer surface temperature of the pipedrops below the dew point, condensation can occur on the surface.Since this pipe is located in a vicinity of high voltage devices,water droplets from the condensation can cause electrical hazard.To prevent such incident, the pipe surface needs to be insulated.Calculate the minimum insulation thickness (in cm) for the pipeusing a material with k = 0.95 W/m·K to prevent the outer surfacetemperature from dropping below the dew point.
The minimum insulation thickness for the pipe is