A mixture of chemicals is flowing in a pipe (k = 14 W/m·K, Di = 2.5 cm, Do = 3 cm, and L = 10 m). During the transport, the mixture undergoes an exothermic reaction having an average temperature of 135◦C and a convection heat transfer coefficient of 150 W/m2·K. To prevent any incident of thermal burn, the pipe needs to be insulated. However, there is only enough room to fit a 2.5-cm-thick layer of insulation over the pipe. The pipe is situated in a plant, where the average ambient air temperature is 20◦C and the convection heat transfer coefficient is 25 W/m2·K. Determine the thermal conductivity required to maintain the outside surface temperature at 45◦C or lower.
A mixture of chemicals is flowing in a pipe (k = 14 W/m·K, Di = 2.5 cm,
Do = 3 cm, and L = 10 m). During the transport, the mixture undergoes an
exothermic reaction having an average temperature of 135◦C and a convection heat transfer coefficient of 150 W/m2·K. To prevent any incident of thermal burn, the pipe needs to be insulated. However, there is only enough room to fit a 2.5-cm-thick layer of insulation over the pipe. The pipe is situated in a plant, where the average ambient air temperature is 20◦C and the convection heat transfer coefficient is 25 W/m2·K. Determine the thermal conductivity required to maintain the outside surface temperature at 45◦C or lower.
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