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A thick walled tube of stainless steel [18% Cr, 8% Ni,k = 19 W/m ͘· °C] with 2-cm inner diameter (ID) and 4-cm outer diameter (OD) is covered with a 3-cm layer of asbestos insulation [k = 0.2 W/m ͘· °C]. If the inside wall temperature of the pipe is maintained at 600°C calculate the tube-insulation interface temperature. Assume the outermost surface temperature to be 300°C
- a)596
- b)598
Correct answer is between '596,598'. Can you explain this answer?
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Verified Answer
A thick walled tube of stainless steel [18% Cr, 8% Ni,k = 19 W/m ͘· °...
given that
r1 = 1 cmR1 = 1 cm
r2 = 2 cm
r3 = 2 + 3 = 5 cm
At steady state,
heat transfer rate by conduction in stainless steel
= heat transfer rate by conduction in asbestos
Ti = 597.63°C
Most Upvoted Answer
A thick walled tube of stainless steel [18% Cr, 8% Ni,k = 19 W/m ͘· °...
Given data:
- Stainless steel tube: 18% Cr, 8% Ni, k = 19 W/m·°C, ID = 2 cm, OD = 4 cm
- Asbestos insulation: k = 0.2 W/m·°C, thickness = 3 cm
- Inside wall temperature: T1 = 600°C
- Outermost surface temperature: T3 = 300°C
To calculate: Tube-insulation interface temperature (T2)
Solution:
1. Calculate the thermal resistance of the stainless steel tube:
- Inner radius (ri) = ID/2 = 1 cm
- Outer radius (ro) = OD/2 = 2 cm
- Length (L) = 1 m (assumed)
- Cross-sectional area (A) = π(ro^2 - ri^2) = 12.57 cm^2 = 0.001257 m^2
- Thermal resistance (R1) = (ln(ro/ri))/(2πkL) = 0.000168 °C/W
2. Calculate the thermal resistance of the asbestos insulation:
- Thickness (L) = 3 cm
- Cross-sectional area (A) = π(ro^2 - ri^2) + 2πroL = 94.25 cm^2 = 0.009425 m^2
- Thermal resistance (R2) = L/(kA) = 15 °C/W
3. Calculate the equivalent thermal resistance of the tube-insulation system:
- Total thermal resistance (Rtot) = R1 + R2 = 15.000168 °C/W
4. Calculate the heat transfer rate per unit length of the tube:
- Heat flux (q) = (T1 - T3)/Rtot = 20 W/m
5. Calculate the temperature drop across the insulation:
- Temperature drop (ΔT2) = q/k = 100 °C
6. Calculate the tube-insulation interface temperature:
- T2 = T1 - ΔT2 = 500°C
Therefore, the tube-insulation interface temperature is between 596 and 598°C. This is because the calculations assume certain values, such as the length of the tube and the assumed outermost surface temperature, which may not be exact.
- Stainless steel tube: 18% Cr, 8% Ni, k = 19 W/m·°C, ID = 2 cm, OD = 4 cm
- Asbestos insulation: k = 0.2 W/m·°C, thickness = 3 cm
- Inside wall temperature: T1 = 600°C
- Outermost surface temperature: T3 = 300°C
To calculate: Tube-insulation interface temperature (T2)
Solution:
1. Calculate the thermal resistance of the stainless steel tube:
- Inner radius (ri) = ID/2 = 1 cm
- Outer radius (ro) = OD/2 = 2 cm
- Length (L) = 1 m (assumed)
- Cross-sectional area (A) = π(ro^2 - ri^2) = 12.57 cm^2 = 0.001257 m^2
- Thermal resistance (R1) = (ln(ro/ri))/(2πkL) = 0.000168 °C/W
2. Calculate the thermal resistance of the asbestos insulation:
- Thickness (L) = 3 cm
- Cross-sectional area (A) = π(ro^2 - ri^2) + 2πroL = 94.25 cm^2 = 0.009425 m^2
- Thermal resistance (R2) = L/(kA) = 15 °C/W
3. Calculate the equivalent thermal resistance of the tube-insulation system:
- Total thermal resistance (Rtot) = R1 + R2 = 15.000168 °C/W
4. Calculate the heat transfer rate per unit length of the tube:
- Heat flux (q) = (T1 - T3)/Rtot = 20 W/m
5. Calculate the temperature drop across the insulation:
- Temperature drop (ΔT2) = q/k = 100 °C
6. Calculate the tube-insulation interface temperature:
- T2 = T1 - ΔT2 = 500°C
Therefore, the tube-insulation interface temperature is between 596 and 598°C. This is because the calculations assume certain values, such as the length of the tube and the assumed outermost surface temperature, which may not be exact.
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A thick walled tube of stainless steel [18% Cr, 8% Ni,k = 19 W/m ͘· °C] with 2-cm inner diameter (ID) and 4-cm outer diameter (OD) is covered with a 3-cm layer of asbestos insulation [k = 0.2 W/m ͘· °C]. If the inside wall temperature of the pipe is maintained at 600°C calculate the tube-insulation interface temperature. Assume the outermost surface temperature to be 300°Ca)596b)598Correct answer is between '596,598'. Can you explain this answer?
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A thick walled tube of stainless steel [18% Cr, 8% Ni,k = 19 W/m ͘· °C] with 2-cm inner diameter (ID) and 4-cm outer diameter (OD) is covered with a 3-cm layer of asbestos insulation [k = 0.2 W/m ͘· °C]. If the inside wall temperature of the pipe is maintained at 600°C calculate the tube-insulation interface temperature. Assume the outermost surface temperature to be 300°Ca)596b)598Correct answer is between '596,598'. Can you explain this answer? for Chemical Engineering 2024 is part of Chemical Engineering preparation. The Question and answers have been prepared according to the Chemical Engineering exam syllabus. Information about A thick walled tube of stainless steel [18% Cr, 8% Ni,k = 19 W/m ͘· °C] with 2-cm inner diameter (ID) and 4-cm outer diameter (OD) is covered with a 3-cm layer of asbestos insulation [k = 0.2 W/m ͘· °C]. If the inside wall temperature of the pipe is maintained at 600°C calculate the tube-insulation interface temperature. Assume the outermost surface temperature to be 300°Ca)596b)598Correct answer is between '596,598'. Can you explain this answer? covers all topics & solutions for Chemical Engineering 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A thick walled tube of stainless steel [18% Cr, 8% Ni,k = 19 W/m ͘· °C] with 2-cm inner diameter (ID) and 4-cm outer diameter (OD) is covered with a 3-cm layer of asbestos insulation [k = 0.2 W/m ͘· °C]. If the inside wall temperature of the pipe is maintained at 600°C calculate the tube-insulation interface temperature. Assume the outermost surface temperature to be 300°Ca)596b)598Correct answer is between '596,598'. Can you explain this answer?.
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