A long cylindrical stainless steel rod (c p = 450 J/kg K, = 7900 kg/m

A long cylindrical stainless steel rod (c_p = 450 J/kg ∙ K, ρ = 7900 kg/m³, ε = 0.30) with mechanically polished surface is being conveyed through a water bath to be quenched. The 25-mm-diameter stainless steel rod has a temperature of 700°C as it enters the water bath. A length of 3 m of the rod is submerged in water as it is conveyed through the water bath during the quenching process. As the stainless steel rod enters the water bath, boiling would occur at 1 atm. In order to prevent thermal burn on people handling the rod, it must exit the water bath at a temperature below 45°C. Determine the speed of the rod being conveyed through the water bath so that it leaves the water bath without the risk of thermal burn hazard.

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Furnace Stainless steel rod Water bath, 1 atm