Using Gauss-Seidel iteration method, determine the temperatures at nodes 1, 2, 3 and 4.Estimate the midpoint temperature. Consider two-dimensional, steady-state conduction in a square cross section withprescribed surface temperaturesy +50°C200°C20°C4X400°C3.

Heat conduction is a parabolic partial differential equation. It is used to define the temperature…

Answered: Consider two-dimensional, steady-state…

Consider two-dimensional, steady-state conduction in a square cross section with prescribed surface temperatures y ↑ 50°C 200°C 20°C 4 400°C 3.

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 4.5P

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Concept explainers

Atomic diffusion in solids

In material science, diffusion can take place in solid, liquid, and gases. In solids, atomic diffusion can take place with the help of thermally activated and randomly vibrating atoms. The atomic diffusion in solids is complex and very slow in comparison to atomic diffusion in liquids and gases because the interatomic distance between the atoms is smaller in solids as compared to liquids and gases.

Question

Using Gauss-Seidel iteration method, determine the temperatures at nodes 1, 2, 3 and 4.
Estimate the midpoint temperature.

Consider two-dimensional, steady-state conduction in a square cross section with
prescribed surface temperatures
y +
50°C
200°C
20°C
4
X
400°C
3.

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