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Physics, 27.07.2019 02:10 itsjusmika

Heat conduction consider heat conduction through the walls of a pipe when the inside wall temperature is 200 °c, the outside wall temperature is 80 °c and the thickness of the wall is 0.05 meters. the inside radius is 0.05 meter (ro), and the outside radius is 0.1 m. the differential equation which describes the temperature distribution is: dt+r(er) the finite difference representation of this diferen eqaio generates a set of equations of the dx2 following form: 2r +br)t+1 tt + (-2 )ti-1-0, for i= 2,3, 10 where r = ro + δr(i-1 )-0.05 + 0.005(-1), and t,-200 ℃ t11-80 °c solve for the temperature distribution using the lu decomposition method. compare your answer with any matlab built-in function. plot your results.

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