Long aluminum wires of diameter 3 mm (ρ = 2702 kg/m3 , cp = 0.896 kJ/kg·K, k = 236 W/m·K, and
α = 9.75 × 10-5 m2 /s) are extruded at a temperature of 350°C and exposed to atmospheric air at 30°C with a heat transfer coefficient of 35 W/m2 ·K.
(a) Determine how long it will take for the wire temperature to drop to 50°C.
(b) If the wire is extruded at a velocity of 10 m/min, determine how far the wire travels after extrusion by the time its temperature drops to 50°C. What change in the cooling process would you propose to shorten this distance?
(c) Assuming the aluminum wire leaves the extrusion room at 50°C, determine the rate of heat transfer from the wire to the extrusion room.
StatePriceProbabilityDividendRealized returnE[r]R-Rexp^2Pi*(R-Rexp)^2147,000,15100,140,09550,040,0020,000297038244,500,15100,090,0955-0,010,0000,000004538343,500,30100,07...Aug 13 2020
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