A conical section is fabricated from pure aluminum. It is of circular cross section having diameter D = 0.5x0.5. 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. The aluminum has thermal conductivity k=236 W/m/K. T₂ T₁ x1 -x₂² 1

A conical section is fabricated from pure aluminum. It is of circular cross section having diameter D = 0.5x0.5. 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. The aluminum has thermal conductivity k=236 W/m/K. T₂ T₁ x1 -x₂² 1

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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Concept explainers

Axial Load

When a bar of the uniform cross-section is acted by a load, such that the load acts along the longitudinal axis of the bar, such kinds of loadings are known as axial loadings. In general terms, a load is an external force acting on a component. An axial load acts perpendicular to the geometric cross-section of the component. Based on the direction of the application of the load, an axial load can be tensile or compressive. The analysis of bodies under the action of axial loads is generally studied under the branch of mechanics, known as statics.

Question

A conical section is fabricated from pure aluminum. It is of circular cross section having
diameter D = = 0.5x0.5. 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. The aluminum has thermal conductivity k=236 W/m/K.
T2
T₁
X₁
x₂
(a) Derive an expression for the temperature distribution T in symbolic form, assuming 1-D
condition.
(b) Calculate the heat rate qx.
1

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