The diagram shows a conical section fabricated from pure aluminum. It is of circular cross section having diameter D = ax¹/2, where a = 0.5 m²/2. The small end is located at x₁ = 25 mm and large end at x₂ = 125 mm. The end temperatures are T₁ = 600 K and 7₂ = 400 K, while the lateral surface is well insulated. (a) Derive an expression for the temperature distribution 7(x) in symbolic form, assuming one-dimensional conditions. Sketch the temperature distribution. (b) Calculate the heat rate q
The diagram shows a conical section fabricated from pure aluminum. It is of circular cross section having diameter D = ax¹/2, where a = 0.5 m²/2. The small end is located at x₁ = 25 mm and large end at x₂ = 125 mm. The end temperatures are T₁ = 600 K and 7₂ = 400 K, while the lateral surface is well insulated. (a) Derive an expression for the temperature distribution 7(x) in symbolic form, assuming one-dimensional conditions. Sketch the temperature distribution. (b) Calculate the heat rate q
Principles of Heat Transfer (Activate Learning with these NEW titles from Engineering!)
8th Edition
ISBN:9781305387102
Author:Kreith, Frank; Manglik, Raj M.
Publisher:Kreith, Frank; Manglik, Raj M.
Chapter3: Transient Heat Conduction
Section: Chapter Questions
Problem 3.4P
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![The diagram shows a conical section fabricated from pure aluminum. It is of circular cross section having diameter D = ax¹/2, where a = 0.5 m¹/2. The small end is located at x₁ = 25 mm and the
large end at x₂ = 125 mm. The end temperatures are T₁ = 600 K and T₂ = 400 K, while the lateral surface is well insulated.
T₂
T₁
1.x₂
(a) Derive an expression for the temperature distribution 7(x) in symbolic form, assuming one-dimensional conditions. Sketch the temperature distribution.
(b) Calculate the heat rate qx²](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F52282ef7-9628-4f3c-a0da-696ef43c4b5a%2F438b125f-eefd-4d54-a0fc-d1826a3d1854%2Ftrg7mn_processed.png&w=3840&q=75)
Transcribed Image Text:The diagram shows a conical section fabricated from pure aluminum. It is of circular cross section having diameter D = ax¹/2, where a = 0.5 m¹/2. The small end is located at x₁ = 25 mm and the
large end at x₂ = 125 mm. The end temperatures are T₁ = 600 K and T₂ = 400 K, while the lateral surface is well insulated.
T₂
T₁
1.x₂
(a) Derive an expression for the temperature distribution 7(x) in symbolic form, assuming one-dimensional conditions. Sketch the temperature distribution.
(b) Calculate the heat rate qx²
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