1. A two-dimensional rectangular plate is subjected to prescribed boundary conditions. Using the results of the exact solution for the heat equation presented in Section 4.2, calculate the temperature at the midpoint (1, 0.5) by considering the first five nonzero terms of the infinite series that must be evaluated. Assess the error resulting from using only the first three terms of the infinite series. Plot the temperature distributions T(x, 0.5) and T(1.0, y). Answer: T(1,0.5)=94.5°C y (m) T₂ = 150°C 1 T₁ = 50°C- % T₁ = 50°C ►x (m) 2 -T₁ = = 50°C
1. A two-dimensional rectangular plate is subjected to prescribed boundary conditions. Using the results of the exact solution for the heat equation presented in Section 4.2, calculate the temperature at the midpoint (1, 0.5) by considering the first five nonzero terms of the infinite series that must be evaluated. Assess the error resulting from using only the first three terms of the infinite series. Plot the temperature distributions T(x, 0.5) and T(1.0, y). Answer: T(1,0.5)=94.5°C y (m) T₂ = 150°C 1 T₁ = 50°C- % T₁ = 50°C ►x (m) 2 -T₁ = = 50°C
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.
Chapter4: Numerical Analysis Of Heat Conduction
Section: Chapter Questions
Problem 4.24P
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Transcribed Image Text:1. A two-dimensional rectangular plate is subjected to prescribed boundary conditions. Using the
results of the exact solution for the heat equation presented in Section 4.2, calculate the temperature
at the midpoint (1, 0.5) by considering the first five nonzero terms of the infinite series that must
be evaluated. Assess the error resulting from using only the first three terms of the infinite series.
Plot the temperature distributions T(x, 0.5) and T(1.0, y).
Answer: T(1,0.5)=94.5°C
y (m)
T₂ = 150°C
1
T₁ = 50°C-
%
T₁ = 50°C
►x (m)
2
-T₁ = = 50°C
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