11B.4. Heat conduction in a spherical shell (Fig. 11B.4). A spherical shell has inner and outer radiiR₁ and R₂. A hole is made in the shell at the north pole by cutting out the conical segment inthe region 0 ≤ 0 ≤ 0₁. A similar hole is made at the south pole by removing the portion (™-0₁) ≤ 0 ≤7. The surface 0 = 0, is kept at temperature T = T₁, and the surface at 0= 7 - 0₁ isheld at T = T₂. Find the steady-state temperature distribution, using the heat conductionequation.364 Chapter 11 The Equations of Change for Nonisothermal Systems0₁ 0₁(a)R₂SolidInsulatedsurfacesHole at top(at "north pole")Similar holeat "south pole"(b)Fig. 11B.4. Heat conduction in a spherical shell: (a) cross sectioncontaining the z-axis; (b) view of the sphere from above.

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11B.4. Heat conduction in a spherical shell (Fig. 11B.4). A spherical shell has inner and outer radii R₁ and R₂. A hole is made in the shell at the north pole by cutting out the conical segment in the region 0 ≤00₁. A similar hole is made at the south pole by removing the portion (7- 0₁) ≤0. The surface 0 = 0, is kept at temperature T = T₁, and the surface at 0 = - 0, is held at T = T₂. Find the steady-state temperature distribution, using the heat conduction equation. 364 Chapter 11 The Equations of Change for Nonisothermal Systems R₁ Solid Insulated surfaces Hole at top (at "north pole") Similar hole at "south pole" (a) (b) Fig. 11B.4. Heat conduction in a spherical shell: (a) cross section containing the z-axis; (b) view of the sphere from above. -

11B.4. Heat conduction in a spherical shell (Fig. 11B.4). A spherical shell has inner and outer radii R₁ and R₂. A hole is made in the shell at the north pole by cutting out the conical segment in the region 0 ≤00₁. A similar hole is made at the south pole by removing the portion (7- 0₁) ≤0. The surface 0 = 0, is kept at temperature T = T₁, and the surface at 0 = - 0, is held at T = T₂. Find the steady-state temperature distribution, using the heat conduction equation. 364 Chapter 11 The Equations of Change for Nonisothermal Systems R₁ Solid Insulated surfaces Hole at top (at "north pole") Similar hole at "south pole" (a) (b) Fig. 11B.4. Heat conduction in a spherical shell: (a) cross section containing the z-axis; (b) view of the sphere from above. -

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.

Chapter2: Steady Heat Conduction

Section: Chapter Questions

Problem 2.63P

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