Question 13. Consider a bar of length T which is insulated on its top and bottom sides and has an initial temperature distribution over x E [0, 1] given by $(x) = 5 + sin(6.5æ). Suppose for t > 0, the right end is insulated while the temperature at the left end is held fixed at 5. Assume the thermal diffusivity is k = 1. 13a. Write down a boundary value problem (BVP) for the temperature u(x, t) at x € [0, n] in the bar and time t > 0. 13b. Solve this problem

Elements Of Electromagnetics
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Question 13. Consider a bar of length T which is insulated on its top and bottom sides and
has an initial temperature distribution over x E [0, 1] given by
$(x)
= 5 + sin(6.5æ).
Suppose for t > 0, the right end is insulated while the temperature at the left end is held fixed
at 5. Assume the thermal diffusivity is k = 1.
13a. Write down a boundary value problem (BVP) for the temperature u(x, t) at x € [0, n]
in the bar and time t > 0.
13b. Solve this problem
Transcribed Image Text:Question 13. Consider a bar of length T which is insulated on its top and bottom sides and has an initial temperature distribution over x E [0, 1] given by $(x) = 5 + sin(6.5æ). Suppose for t > 0, the right end is insulated while the temperature at the left end is held fixed at 5. Assume the thermal diffusivity is k = 1. 13a. Write down a boundary value problem (BVP) for the temperature u(x, t) at x € [0, n] in the bar and time t > 0. 13b. Solve this problem
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