2) (a: score 30%) Use the explicit method to solve by hand the 1D heat equation (see Lecture 27) for the temperature distribution in a laterally insulated wire with a length of 1 cm, whose ends are kept at T(0) = 0 °C and T(1) = 0 °C, for 0 < x < 1 and 0 < t < 0.5. At t= 0, the temperature of the wire is subjected to initial condition T(x) 100sin(nx). Use the following values of k= 0.15 cm/s, x = 0.25 cm, and At = 0.1 s. Calculate by hand the values of temperature at the internal mesh points only for the first time row at t = 0.1 s. (b: Score 10%) Run MATLAB's Heat1DFD.m and Heat1DCN.m M-files and calculate the distribution within the temperature space-time domain 0 < x < 1 and 0 < t s 0.5 using the parameters and steps from (a). Verify the values of temperature at t = 0.1 s calculated by hand. (c: score 10%) Use Heat1DCN.m M-file to solve the 1D heat equation within the space-time
2) (a: score 30%) Use the explicit method to solve by hand the 1D heat equation (see Lecture 27) for the temperature distribution in a laterally insulated wire with a length of 1 cm, whose ends are kept at T(0) = 0 °C and T(1) = 0 °C, for 0 < x < 1 and 0 < t < 0.5. At t= 0, the temperature of the wire is subjected to initial condition T(x) 100sin(nx). Use the following values of k= 0.15 cm/s, x = 0.25 cm, and At = 0.1 s. Calculate by hand the values of temperature at the internal mesh points only for the first time row at t = 0.1 s. (b: Score 10%) Run MATLAB's Heat1DFD.m and Heat1DCN.m M-files and calculate the distribution within the temperature space-time domain 0 < x < 1 and 0 < t s 0.5 using the parameters and steps from (a). Verify the values of temperature at t = 0.1 s calculated by hand. (c: score 10%) Use Heat1DCN.m M-file to solve the 1D heat equation within the space-time
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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Would someone explain in detail the by hand part? I do not understand. Thank you!
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