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Consider the following transient heat conduction problem 10T ²T 2²T a dt дҳ2 Əy² -= T=0 T = 100 T=0 T=100 T=0 in 00 x=0 x=L y=0 y=L t=0 Solve this heat conduction problem with finite differences by using: (i) explicit scheme and (ii) Crank-Nicolson method by taking L = 10 cm, a = 105 m²/s, and a square mesh of size 2 cm x 2 cm. Calculate the center temperature as a function of time.

Consider the following transient heat conduction problem 10T ²T 2²T a dt дҳ2 Əy² -= T=0 T = 100 T=0 T=100 T=0 in 00 x=0 x=L y=0 y=L t=0 Solve this heat conduction problem with finite differences by using: (i) explicit scheme and (ii) Crank-Nicolson method by taking L = 10 cm, a = 105 m²/s, and a square mesh of size 2 cm x 2 cm. Calculate the center temperature as a function of time.

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
Problem 1.1MA
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Consider the following transient heat conduction problem 1 JT ²T ²T = a dt Əx²y² T=0 T = 100 T=0 T=100 T=0 in 0<x<L, 0<y<L, t>0 x=0 x=L y=0 y=L t=0 Solve this heat conduction problem with finite differences by using: (i) explicit scheme and (ii) Crank-Nicolson method by taking L = 10 cm, a = 105 m²/s, and a square mesh of size 2 cm x 2 cm. Calculate the center temperature as a function of time.
Transcribed Image Text:Consider the following transient heat conduction problem 1 JT ²T ²T = a dt Əx²y² T=0 T = 100 T=0 T=100 T=0 in 0<x<L, 0<y<L, t>0 x=0 x=L y=0 y=L t=0 Solve this heat conduction problem with finite differences by using: (i) explicit scheme and (ii) Crank-Nicolson method by taking L = 10 cm, a = 105 m²/s, and a square mesh of size 2 cm x 2 cm. Calculate the center temperature as a function of time.
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