Stages in the transient cooling of a slab |
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Authors: | M.G. Davies |
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Affiliation: | Department of Building Engineering, The University, Liverpool, UK |
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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 ζ0 (the Fourier number) found from a relation of type in the appropriate progressive wave solution. Cooling becomes virtually exponential at a time ζ0 when 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 ζ0, ζ0B or ζ0B2 (B is the Biot number) according to the model involved. Examples are given illustrating these results in a building context. |
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