Would someone explain in detail the by hand part? I do not understand. Thank you! 11:56O ul 53%Page Break2) (a: score 30%) Use the explicit methodto solve by hand the 1D heat equation (seeLecture 27) for the temperature distributionin a laterally insulated wire with a length of1 cm, whose ends are kept at T(0) = 0 °Cand T(1) = 0 °C, for 0 < x <1 and 0 < t s0.5. At t = 0, the temperature of the wire issubjected to initial condition T(x)100sin(nx). Use the following values of k=0.15 cm/s, Ax = 0.25 cm, and At = 0.1 s.Calculate bytemperature at the internal mesh pointsonly for the first time row at t = 0.1 s.(b:Score 10%) Run MATLABs Heat1DFD.mand Heat1DCN.m M-files and calculate thehandthevaluesofdistributionwithinthetemperaturespace-time domain 0 < x < 1 and 0 < t <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 1Dheat equationdomain 0 < x< 1 and 0 sts2 with Ax =0.05 cm and At = 0.1 s. Make the plot ofwithin thespace-timetemperature surface.

Answered: Image /qna-images/answer/a636b4f4-a891-4292-ad02-7932e517c782.jpg

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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