Joined ends Insulation Tank with water at temperature 150 degrees Rod 1 Rod 2 FIGURE 1. Two rods joined to form a single rod Consider two identical, laterally insulated, uniform rods with diffusivity k and length L. These two rods are joined together to form a new rod of length 2L. Suppose at time t = 0 (as the rods are joined), the temperature of rod 1 is O degrees, that of rod 2 is 100 degrees, the right end of rod 2 is insulated and left end of rod 1 is immersed in a tank with temperature of 150 degrees. Write the BVP of the temperature of the new rod.

Joined ends Insulation Tank with water at temperature 150 degrees Rod 1 Rod 2 FIGURE 1. Two rods joined to form a single rod Consider two identical, laterally insulated, uniform rods with diffusivity k and length L. These two rods are joined together to form a new rod of length 2L. Suppose at time t = 0 (as the rods are joined), the temperature of rod 1 is O degrees, that of rod 2 is 100 degrees, the right end of rod 2 is insulated and left end of rod 1 is immersed in a tank with temperature of 150 degrees. Write the BVP of the temperature of the new rod.

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

Joined ends
Insulation
Tank with water
at temperature
150 degrees
Rod 1
Rod 2
FIGURE 1. Two rods joined to form a single rod
Consider two identical, laterally insulated,
uniform rods with diffusivity k and length L.
These two rods are joined together to form
a new rod of length 2L.
Suppose at time t = 0 (as the rods are
joined), the temperature of rod 1 is 0
degrees, that of rod 2 is 100 degrees, the
right end of rod 2 is insulated and left end
of rod 1 is immersed in a tank with
temperature of 150 degrees. Write the BVP
of the temperature of the new rod.

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