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
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
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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![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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe0d16b1f-7f5d-4619-adf3-b3b02da14b86%2Fb075cf5f-2fd8-44c2-aa6a-ab2458db7c79%2Fauylm7b_processed.png&w=3840&q=75)
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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