HeatTransfer-I-Section-5

The quenching process leads to a heat transfer

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Unformatted text preview: Fo) Ti − T∞ Bi Fo hL αt Bi = < 0.1 Fo = 2 k L hR αt Bi = < 0.1 Fo = 2 k R hR αt Bi = < 0.1 Fo = 2 k R •  Arbitrary Bodies*: € –  For arbitrary shaped 3D bodies we use: T − T∞ = exp( − Bi ⋅ Fo ) Ti − T∞ V h where = Bi = < 0.1 k A αt Fo = 2 * For a cylinder and sphere use exact formulas € 10 Transient Conduc/on •  General Lumped Analysis: the text reviews a general lumped analysis and presents a few special cases. Review these pp. 288 ­289. 11 Example 1 •  A small carbon steel rod of length 50 cm and diameter 2 cm is ini/ally at 1000 C. It is quenched in a water bath maintained at 30 C. The quenching process leads to a heat transfer coefficient of 400 W/m2K. Determine how long it takes the bar to reach 50 C. How much energy has lee the bar at this point. To ensure that the bath remains rela/vely constant in temperature determine...
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