TECHNICAL PAPERS
Mar 27, 2009

Modeling the Cooling of Concrete by Piped Water

Publication: Journal of Engineering Mechanics
Volume 135, Issue 12

Abstract

Piped water is used to remove hydration heat from concrete blocks during construction. In this paper we develop an approximate model for this process. The problem reduces to solving a one-dimensional heat equation in the concrete, coupled with a first order differential equation for the water temperature. Numerical results are presented and the effect of varying model parameters shown. An analytical solution is also provided for a steady-state constant heat generation model. This helps highlight the dependence on certain parameters and can therefore provide an aid in the design of cooling systems.

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References

American Concrete Institute. (2005). “207.4R-05: Cooling and insulating systems for mass concrete.” ACI Committee 207, Detroit.
Ballim, Y., and Graham, P. C. (2003). “A maturity approach to the rate of heat evolution in concrete.” Mag. Concrete Res., 55(3), 249–256.
Carslaw, H. S., and Jaeger, J. C. (1959). Conduction of heat in solids, Clarendon, Oxford, U.K.
Charpin, J. P. F., Myers, T. G., Fitt, A. D., Fowkes, N. D., and Mason, D. P. (2004). “Piped water cooling of concrete dams.” Proc., 1st South African Mathematics in Industry Study Group, D. P. Mason and N. D. Fowkes, eds., Univ. of the Witwatersrand, Johannesburg, South Africa, 69–86.
Lawrence, D. C. (1998). “Physiochemical and mechanical properties of Portland cement.” LEA’s chemistry of cement concrete, 4th Ed., P. C. Hewlett, ed., Butterworth-Heineman, Oxford, U.K.
Liu, C. (2004). “Temperature field of mass concrete in a pipe lattice.” J. Mater. Civ. Eng., 16(5), 427–432.
Neville, A. M. (1995). Properties of concrete, Longman’s, London.
Thermal cracking in concrete at early ages. (1994). R. Springenschmid, ed., E & FN Spon, London.
U.S. Bureau of Reclamation. (2005). “Hoover dam: Concrete.” ⟨http://www.usbr.gov/lc/hooverdam/History/essays/concrete.html⟩ (Aug. 13, 2007).

Information & Authors

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Published In

Go to Journal of Engineering Mechanics
Journal of Engineering Mechanics
Volume 135Issue 12December 2009
Pages: 1375 - 1383

History

Received: Feb 22, 2008
Accepted: Mar 25, 2009
Published online: Mar 27, 2009
Published in print: Dec 2009

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Authors

Affiliations

T. G. Myers [email protected]
Centre de Recerca MatematicaUAB Science Faculty, 08193 Bellaterra, Barcelona, Spain (corresponding author). E-mail: [email protected]
N. D. Fowkes
School of Mathematics and Statistics, Univ. of Western Australia, Crawley WA 6009, Australia.
Y. Ballim
School of Civil and Environmental Engineering, Univ. of the Witwatersrand, Private Bag 3, Wits 2050, South Africa.

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