Mathematics-in-Industry Case Studies, Vol 1 (2008)

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Modelling the temperature, maturity and moisture content in a drying concrete block

T. G. Myers, J. P. F. Charpin

Abstract


In this paper, the maturation of large concrete blocks is studied. A set of governing equations is presented, describing the one-dimensional variation of temperature, moisture and maturity of the concrete with time. The bottom of the block is in contact with the ground, and assumed to be insulated. The top exchanges heat with the surrounding air, whose temperature varies with time, it is also heated by solar radiation. A set of governing equations describing the one-dimensional variation of temperature, moisture and maturity of the concrete with time is presented. Non-dimensionalisation allows us to find a simple analytical solution, valid for short times. The full system of equations is also solved numerically. The analytical and numerical results show good agreement at first for short times but the numerical method must be used for longer times. Simulations are carried out for the periods of one day and two months. The effect of adding a second concrete block on top of the first one, at a later time, is also investigated.

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Mathematics-in-Industry Case Studies. ISSN: 1913-4967