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Consider a fin of length L= 8cm attached to a base of temperature Tw= 150°C. The ambient temperature is 20°C. The fin is conical with diameter at the wall D₁ = 1.5cm and diameter at the free end D₂ = 0.75cm. The fin is made of aluminum with k = 200W/mK. The convective heat transfer coefficient is h = 100Wm 2K-¹. Consider two boundary conditions 1) Assume free end is at temperature 40C 2) Assume convective boundary conditions. Use the following methods (a) Shooting method. (b) Finite difference method. (c) MATLAB's built-in function bvp4c.

Consider a fin of length L= 8cm attached to a base of temperature Tw= 150°C. The ambient temperature is 20°C. The fin is conical with diameter at the wall D₁ = 1.5cm and diameter at the free end D₂ = 0.75cm. The fin is made of aluminum with k = 200W/mK. The convective heat transfer coefficient is h = 100Wm 2K-¹. Consider two boundary conditions 1) Assume free end is at temperature 40C 2) Assume convective boundary conditions. Use the following methods (a) Shooting method. (b) Finite difference method. (c) MATLAB's built-in function bvp4c.

Elements Of Electromagnetics
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
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= 150°C. The ambient 4. Consider a fin of length L = 8cm attached to a base of temperature Tw temperature is 20°C. The fin is conical with diameter at the wall D₁ = 1.5cm and diameter at the free end D₂ 0.75cm. The fin is made of aluminum with k = 200W/mK. The convective heat transfer coefficient is h = 100Wm-2K-1. Consider two boundary conditions 1) Assume free end is at temperature 40C 2) Assume convective boundary conditions. Use the following methods (a) Shooting method (b) Finite difference method. (c) MATLAB's built-in function bvp4c.
Transcribed Image Text:= 150°C. The ambient 4. Consider a fin of length L = 8cm attached to a base of temperature Tw temperature is 20°C. The fin is conical with diameter at the wall D₁ = 1.5cm and diameter at the free end D₂ 0.75cm. The fin is made of aluminum with k = 200W/mK. The convective heat transfer coefficient is h = 100Wm-2K-1. Consider two boundary conditions 1) Assume free end is at temperature 40C 2) Assume convective boundary conditions. Use the following methods (a) Shooting method (b) Finite difference method. (c) MATLAB's built-in function bvp4c.
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