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These soluons are obtained mathemacally by solving the

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Unformatted text preview: how much water is required to ensure less than 1 C rise in bath temperature. 12 Example 2 •  A rectangular shaped block of carbon steel is immersed in a quench bath. The block has dimensions of 5 cm x 10 cm x 25 cm. The bath is at 30 C and the block produces a heat transfer coefficient of 400 W/m2K. The block is ini/ally at 800 C. Develop an expression for the temperature history of the block. Note there are three characteris/c dimensions. 13 Transient Conduc/on •  Finite One Dimensional Systems: we will now examine the plane wall, cylinder, and sphere, for cases when the temperature varies with posi/on, i.e x or r. 14 Transient Conduc/on •  Solu/ons to three fundamental shapes are reported in your book: wall, cylinder, and sphere. •  These solu/ons are obtained mathema/cally by solving the heat diffusion equa/on with a convec/ve boundary condi/on. •  Solu/ons are reported in the form of dimensionless groups: θ* = T − T∞ h αt , Bi = , Fo = 2 , Ti − T∞ k x or r •  An arbitrary length scale denotes L or R. € € 15 Transient Conduc/on •  Plane Wall...
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