Solved: Find the temperature in Prob. 13 with L 11. C = 1,
Chapter 12, Problem 12.1.87(choose chapter or problem)
(Heat flux) The heat flux of a solution u(x, t) across x = 0 is defined by \(\phi(t)=-K u_{x}(0, t)\). Find \(\phi(t)\) for the solution (9). Explain the name. Is it physically understandable that \(\phi\) goes to 0 as \(t \rightarrow \infin\)?
Text Transcription:
phi(t)=-Ku_x(0, t)
phi(t)
phi
t rightarrow infinity
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