Find the temperature in Prob. 11 with L = , c = 1, and f (x) =
Question:
Find the temperature in Prob. 11 with L = π, c = 1, and
f (x) = 1 - x/π
Data from Prob. 11
“Adiabatic” means no heat exchange with the neighborhood, because the bar is completely insulated, also at the ends. Physical Information: The heat flux at the ends is proportional to the value of ∂u/∂x there.
Show that for the completely insulated bar ux(0, t) = 0, ux(L, t) = 0, u(x, t) = f(x) and separation of variables gives the following solution, with An given by (2) in Sec. 11.3.
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Given that L c 1 and fx 1 x the solution for the temperature distribution in the completely in...View the full answer
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