In the design of a certain computer application, a heat flow simulation is required. In the simulation, the heat conductor, which is of length 10m, has a perfectly insulated surface. The temperature at both ends of the conductor is kept consistently at zero. The initial temperature at any point of the conductor is uniform at 25°C. The 1-dimensional heat equation is given as follows: for all 0< x 10 and t20 (a) Describe the initial and boundary conditions of the 1-dimension heat equation in the simulation. Hence, deduce the temperature function (x, t) of the conductor, subjected to the conditions in (a).

In the design of a certain computer application, a heat flow simulation is required. In the simulation, the heat conductor, which is of length 10m, has a perfectly insulated surface. The temperature at both ends of the conductor is kept consistently at zero. The initial temperature at any point of the conductor is uniform at 25°C. The 1-dimensional heat equation is given as follows: for all 0< x 10 and t20 (a) Describe the initial and boundary conditions of the 1-dimension heat equation in the simulation. Hence, deduce the temperature function (x, t) of the conductor, subjected to the conditions in (a).

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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