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A round solid cylinder made of a plastic material (a = 6 × 10-7 m³/s) is initially at a uniform tempera- ture of 20°C and is well insulated along its lateral sur- face and at one end. At time t = 0, heat is applied to the left boundary causing T, to increase linearly with time at a rate of 1°C/s.

A round solid cylinder made of a plastic material (a = 6 × 10-7 m³/s) is initially at a uniform tempera- ture of 20°C and is well insulated along its lateral sur- face and at one end. At time t = 0, heat is applied to the left boundary causing T, to increase linearly with time at a rate of 1°C/s.

Elements Of Electromagnetics
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
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A round solid cylinder made of a plastic material (a = 6 × 10-7 m²/s) is initially at a uniform tempera- ture of 20°C and is well insulated along its lateral sur- face and at one end. At time t = 0, heat is applied to the left boundary causing T, to increase linearly with time at a rate of 1°C/s. To T1 T2 T3 TA L = 24 mm (a) Using the explicit method with Fo =;, derive the finite-difference equations for nodes 1, 2, 3, and 4. (b) Format a table with headings of p, t(s), and the nodal temperatures T, to T4. Determine the surface temperature T when T 35°C.
Transcribed Image Text:A round solid cylinder made of a plastic material (a = 6 × 10-7 m²/s) is initially at a uniform tempera- ture of 20°C and is well insulated along its lateral sur- face and at one end. At time t = 0, heat is applied to the left boundary causing T, to increase linearly with time at a rate of 1°C/s. To T1 T2 T3 TA L = 24 mm (a) Using the explicit method with Fo =;, derive the finite-difference equations for nodes 1, 2, 3, and 4. (b) Format a table with headings of p, t(s), and the nodal temperatures T, to T4. Determine the surface temperature T when T 35°C.
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