BAR UNDER ADIABATIC CONDITIONS "Adiabatic" means no heat

Chapter 12, Problem 12.5

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BAR UNDER ADIABATIC CONDITIONS "Adiabatic" means no heat exchange with the neighborhood. because the bar is completely insulated, also at the ends. PhysicolTnformation: The heat flux at the ends is proportional to the value of aulax there. 13. Show that for the completely insulated bar. ux(O, t) = 0, uAL, t) = 0, /leX, t) = f(x) and separation of variables gives the following solution, with An given by (2) in Sec. 11.3. "" u(x. t) = Ao + L An cos ";x e-{cn7T/L)2t

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