An iron rod 10 m long is attached to end A with a constant temperature of 100⁰ Celsius, while at end B the temperature is maintained at 0⁰ C. The initial temperature along the length of the rod is 0⁰ C. This temperature will propagate along the rod from A to B, which can be described in the form of an equation following. (Image) Calculate the temperature along the length of the rod using an explicit scheme. Use Δt = 2m and Δt = 10 sec and K = 1m²/s. The count is carried out until the second time
An iron rod 10 m long is attached to end A with a constant temperature of 100⁰ Celsius, while at end B the temperature is maintained at 0⁰ C. The initial temperature along the length of the rod is 0⁰ C. This temperature will propagate along the rod from A to B, which can be described in the form of an equation following. (Image) Calculate the temperature along the length of the rod using an explicit scheme. Use Δt = 2m and Δt = 10 sec and K = 1m²/s. The count is carried out until the second time
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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An iron rod 10 m long is attached to end A with a constant temperature of 100⁰ Celsius, while at end B the temperature is maintained at 0⁰ C. The initial temperature along the length of the rod is 0⁰ C. This temperature will propagate along the rod from A to B, which can be described in the form of an equation following. (Image)
Calculate the temperature along the length of the rod using an explicit scheme. Use Δt = 2m and Δt = 10 sec and K = 1m²/s. The count is carried out until the second time
Transcribed Image Text:ат
at
= K
а т
ar
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