p1 a steel pipe od 200mmid 180mm is carrying liquid ammonia tcold 60c across a factory ceiling i

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Question

P1) A steel pipe (𝑂𝐷 = 200𝑚𝑚,𝐼𝐷 = 180𝑚𝑚) is carrying liquid ammonia (𝑇𝑐𝑜𝑙𝑑 = −60°𝐶) across a factory ceiling. If the ammonia produces ℎ𝑖𝑛 = 300 𝑊/ 𝑚2𝐾 and natural convection from RT air on the outside of the pipe has ℎ𝑜𝑢𝑡 = 40 𝑊/ 𝑚2𝐾 ,what is the heat rate through the pipe wall per unit length? P2) The plant manager decides that the pipe from problem 1 is absorbing too much heat from the factory and decides to apply a fiberglass insulation to the outside of the pipe to keep the ammonia cool. If the insulation is round and has an OD of 230mm, what is the new heat flux through the pipe wall? P3) You work at the same factory from problem 1 and 2. You disagree with the amount of insulation the plant manager installed on the pipe, saying that the insulation is actually below the critical radius and won’t help keep the ammonia cold. What is the minimum outer radius of insulation that will start to insulate the pipe? Please answer question 3. information prom questions 1 and 2 may be needed hence they are listed above. Thank you!

          P1) A steel pipe (𝑂𝐷 = 200𝑚𝑚,𝐼𝐷 = 180𝑚𝑚) is carrying liquid
ammonia (𝑇𝑐𝑜𝑙𝑑 = −60°𝐶) across a factory ceiling. If the ammonia
produces ℎ𝑖𝑛 = 300 𝑊/ 𝑚2𝐾 and natural convection from RT air on the
outside of the pipe has ℎ𝑜𝑢𝑡 = 40 𝑊/ 𝑚2𝐾 ,what is the heat rate
through the pipe wall per unit length?
P2) The plant manager decides that the pipe from problem 1
is absorbing too much heat from the factory and decides to apply a
fiberglass insulation to the outside of the pipe to keep the
ammonia cool. If the insulation is round and has an OD of 230mm,
what is the new heat flux through the pipe wall?
P3) You work at the same factory from problem 1 and 2. You
disagree with the amount of insulation the plant manager installed
on the pipe, saying that the insulation is actually below the
critical radius and won’t help keep the ammonia cold. What is the
minimum outer radius of insulation that will start to insulate the
pipe?
Please answer question 3. information prom questions 1
and 2 may be needed hence they are listed above.  Thank
you!

Added by Laura B.

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