The exhaust duct from a heater has an inside diameter of 114.3 mm with ceramic walls 6.4 mm thick. The average k=1.52 W/m· K. Outside this wall, an insulation or rock wool 102 mm thick is installed. The thermal conductivity of the rock wool is k= 0.046+ 1.56 x 104 T°C (W/m · K). The inside surface temperature of the ceramic is T1 = 588.7 K, and the outside surface temperature of the insulation is 311 K. Calculate the heat loss for 1.5 m of duct and the interface temperature T2 between the ceramic and the insulation. [Hint: The correct value of km for the insulation is that evaluated at the mean temperature of (T2 + T3)/2. Hence, for the first trial assume a mean temperature of, say, 448 K. Then calculate the heat loss and T2 Using this new T2. calculate a new mean temperature and proceed as before.]
The exhaust duct from a heater has an inside diameter of 114.3 mm with ceramic walls 6.4 mm thick. The average k=1.52 W/m· K. Outside this wall, an insulation or rock wool 102 mm thick is installed. The thermal conductivity of the rock wool is k= 0.046+ 1.56 x 104 T°C (W/m · K). The inside surface temperature of the ceramic is T1 = 588.7 K, and the outside surface temperature of the insulation is 311 K. Calculate the heat loss for 1.5 m of duct and the interface temperature T2 between the ceramic and the insulation. [Hint: The correct value of km for the insulation is that evaluated at the mean temperature of (T2 + T3)/2. Hence, for the first trial assume a mean temperature of, say, 448 K. Then calculate the heat loss and T2 Using this new T2. calculate a new mean temperature and proceed as before.]
Introduction to Chemical Engineering Thermodynamics
8th Edition
ISBN:9781259696527
Author:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Publisher:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Chapter1: Introduction
Section: Chapter Questions
Problem 1.1P
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Question
![The exhaust duct from a heater has an inside diameter of 114.3 mm with ceramic walls 6.4 mm thick.
The average k=1.52 W/m· K. Outside this wall, an insulation or rock wool 102 mm thick is installed.
The thermal conductivity of the rock wool is k= 0.046+ 1.56 x 104 T°C (W/m · K). The inside surface
* =
temperature of the ceramic is T1 = 588.7 K, and the outside surface temperature of the insulation is 311
K. Calculate the heat loss for 1.5 m of duct and the interface temperature T2 between the ceramic and
the insulation. [Hint: The correct value of km for the insulation is that evaluated at the mean temperature
of (T2 + T3)/2. Hence, for the first trial assume a mean temperature of, say, 448 K. Then calculate the
heat loss and T2 Using this new T2, calculate a new mean temperature and proceed as before.]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F6f8661bc-4a16-4980-9191-0a29305ab007%2Fae9537a1-2dae-409b-b11d-4124ad1e4f16%2Fokeb1uk_processed.png&w=3840&q=75)
Transcribed Image Text:The exhaust duct from a heater has an inside diameter of 114.3 mm with ceramic walls 6.4 mm thick.
The average k=1.52 W/m· K. Outside this wall, an insulation or rock wool 102 mm thick is installed.
The thermal conductivity of the rock wool is k= 0.046+ 1.56 x 104 T°C (W/m · K). The inside surface
* =
temperature of the ceramic is T1 = 588.7 K, and the outside surface temperature of the insulation is 311
K. Calculate the heat loss for 1.5 m of duct and the interface temperature T2 between the ceramic and
the insulation. [Hint: The correct value of km for the insulation is that evaluated at the mean temperature
of (T2 + T3)/2. Hence, for the first trial assume a mean temperature of, say, 448 K. Then calculate the
heat loss and T2 Using this new T2, calculate a new mean temperature and proceed as before.]
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