A long rod of 60-mm diameter and thermophysicalproperties

Chapter 5, Problem 5.60

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A long rod of 60-mm diameter and thermophysicalproperties ??8000 kg/m3, c?500 J/kg?K, andk?50 W/m?K is initially at a uniform temperature andis heated in a forced convection furnace maintained at750 K. The convection coefficient is estimated to be1000 W/m2?K.(a) What is the centerline temperature of the rod whenthe surface temperature is 550 K? (b) In a heat-treating process, the centerline tempera-ture of the rod must be increased from Ti?300 Kto T?500 K. Compute and plot the centerline temperature histories for h?100, 500, and1000 W/m2?K. In each case the calculation may beterminated when T5 ? 00 K.

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