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Consider the heat conduction in a metal rod 30 cm long, insulated on its lateral side as well as its ends, with an initial temperature distribution given by: u(x, 0) = 60 - 2x The governing equation for the rod simplifies to əx 2 əx² = α 1 2 δυ St where a= 1. Find the transient temperature distribution of the rod and the steady state temperature.

Consider the heat conduction in a metal rod 30 cm long, insulated on its lateral side as well as its ends, with an initial temperature distribution given by: u(x, 0) = 60 - 2x The governing equation for the rod simplifies to əx 2 əx² = α 1 2 δυ St where a= 1. Find the transient temperature distribution of the rod and the steady state temperature.

Advanced Engineering Mathematics
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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Consider the heat conduction in a metal rod 30 cm long, insulated on its lateral side as well as its ends, with an initial temperature distribution given by: u(x, 0) = 60 - 2x The governing equation for the rod simplifies to a²x 2 Əx² = 1 δυ 2 St α where a= 1. Find the transient temperature distribution of the rod and the steady state temperature.
Transcribed Image Text:Consider the heat conduction in a metal rod 30 cm long, insulated on its lateral side as well as its ends, with an initial temperature distribution given by: u(x, 0) = 60 - 2x The governing equation for the rod simplifies to a²x 2 Əx² = 1 δυ 2 St α where a= 1. Find the transient temperature distribution of the rod and the steady state temperature.
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