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Find the temperature u (z, t) in a bar of silver of length 10 cm and constant cross section of area 1 cm² (density 10.6 g/cm³, thermal conductivity 1.04 cal/ (cm sec C), specific heat 0.056 cal/(g°C) that is perfectly insulated laterally, with ends kept at temperature 0°C and initial temperature f (z) C, where 7. f(x)= x (10 - x)

Find the temperature u (z, t) in a bar of silver of length 10 cm and constant cross section of area 1 cm² (density 10.6 g/cm³, thermal conductivity 1.04 cal/ (cm sec C), specific heat 0.056 cal/(g°C) that is perfectly insulated laterally, with ends kept at temperature 0°C and initial temperature f (z) C, where 7. f(x)= x (10 - x)

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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Do not solve this with 0 temperature BCs, instead solve with the following BCs: u(0, t) = 0, u(L, t) = -20.
Find the temperature u (x, t) in a bar of silver of length 10 cm and constant cross section of area 1 cm² (density 10.6 g/cm³, thermal conductivity 1.04 cal/ (cm sec°C), specific heat 0.056 cal/(g°C) that is perfectly insulated laterally, with ends kept at temperature 0°C and initial temperature f (2) 'C, where 7. f(x) = x (10 - x)
Transcribed Image Text:Find the temperature u (x, t) in a bar of silver of length 10 cm and constant cross section of area 1 cm² (density 10.6 g/cm³, thermal conductivity 1.04 cal/ (cm sec°C), specific heat 0.056 cal/(g°C) that is perfectly insulated laterally, with ends kept at temperature 0°C and initial temperature f (2) 'C, where 7. f(x) = x (10 - x)
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