A cylindrical pipe is made up of two materials. The inner material A, which has thermal conductivity of ka, has inner radius ra and outer radius re. On the other hand, the outer material B, which has themal conductivity of k, has inner radius r. and outer radius rp. Contact resistance between the two materials is known to be hc. The temperature at the inner radius of material A (at ra) is Ta. while the temperature at the outer radius of material B (at r3) is T3. Find an expression for the temperature at the inner radius of material B (at rc) in terms of the given variables.

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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A cylindrical pipe is made up of two materials. The inner material A, which has thermal conductivity of ka, has
inner radius ra and outer radius re. On the other hand, the outer material B, which has thermal conductivity of
kb, has inner radius re and outer radius rb. Contact resistance between the two materials is known to be hc. The
temperature at the inner radius of material A (at ra) is Ta, while the temperature at the outer radius of material B
(at ri) is T3. Find an expression for the temperature at the inner radius of material B (at r.) in terms of the given
variables.
Transcribed Image Text:A cylindrical pipe is made up of two materials. The inner material A, which has thermal conductivity of ka, has inner radius ra and outer radius re. On the other hand, the outer material B, which has thermal conductivity of kb, has inner radius re and outer radius rb. Contact resistance between the two materials is known to be hc. The temperature at the inner radius of material A (at ra) is Ta, while the temperature at the outer radius of material B (at ri) is T3. Find an expression for the temperature at the inner radius of material B (at r.) in terms of the given variables.
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