Consider the system of .1 where the tempera-ture of the

Chapter 5, Problem 5.30

(choose chapter or problem)

Consider the system of 5.1 where the tempera-ture of the plate is spacewise isothermal during thetransient process.(a) Obtain an expression for the temperature of theplate as a function of time T(t) in terms of , T?, h,L, and the plate properties ?and c.(b) Determine the thermal time constant and thesteady-state temperature for a 12-mm-thick plate ofpure copper when T??27C, h?50 W/m2?K,and ?5000 W/m2. Estimate the time required toreach steady-state conditions.(c) For the conditions of part (b), as well as forh?100 and 200 W/m2?K, compute and plot thecorresponding temperature histories of the plate for0?t?2500 s

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