A steel strip emerges from a hot roll section of a steel mill at speed of 20 m/s and temperature of 1200 K. Its length and thickness are L = 100 m and = 0.005 m, respectively, and its density and specific heat are 7900 kg/m3 and 640 J/kg-K, respectively. Accounting for heat transfer from the top and bottom surfaces and neglecting radiation and conduction along the strip, (1) determine the time rate of change of the strip temperature at a distance of 1 m from the leading edge and at the trailing edge. (2) Determine the distance from the leading edge at which the minimum cooling rate is achieved.
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