Ethylene glycol is heated from 25°C to 40°C at a rate of 2.5 kg/s in a horizontal copper tube (k = 386 W/m·K) with an inner diameter of 2.0 cm and an outer diameter of 2.5 cm. A saturated vapor (Tg = 110°C) condenses on the outside-tube surface with the heat transfer coefficient (in kW/m2·K) given by 9.2/(Tg – Tw)0.25, where Tw is the average outside-tube wall temperature. What tube length must be used? Take the properties of ethylene glycol to be ρ = 1109 kg/m3, cp = 2428 J/kg·K, k = 0.253 W/m·K, μ = 0.01545 kg/m·s, and Pr = 148.5.
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