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- W2045496455 abstract "Abstract The classical solutions to the one dimensional transient heat flow situation are examined and criteria are set up to map stages in the cooling process in a parallel sided slab following step changes at the exposed surface. The temperature θ, at a point within the slab, undergoes a perceptible deviation from the undisturbed state, and from the state determined by cooling from the nearer side alone, at times ζ 0 (the Fourier number) found from a relation of type d 3 θ dζ 0 3 = 0 in the appropriate progressive wave solution. Cooling becomes virtually exponential at a time ζ 0 when d 2 θ dζ 0 2 for the first term in the standing wave solution equals the sum of the higher terms. The response times are conveniently expressed in terms of ζ 0 , ζ 0 B or ζ 0 B 2 ( B is the Biot number) according to the model involved. Examples are given illustrating these results in a building context." @default.
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- W2045496455 date "1981-03-01" @default.
- W2045496455 modified "2023-09-25" @default.
- W2045496455 title "Stages in the transient cooling of a slab" @default.
- W2045496455 cites W1998904286 @default.
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- W2045496455 doi "https://doi.org/10.1016/0306-2619(81)90010-6" @default.
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