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Dimensional Analysis of Ionic Transport Problems in Hydrated Cement Systems - Part 1: Theoretical Considerations



R Barbarulo, J Marchand, Kenneth A. Snyder, S Prene


The validity of the local equilibrium assumption in hydrated cement systems, that a particular chemical reaction is instantaneous with respect to transport, is examined using a dimensional analysis of electrochemical transport in cementitious materials. The transport equation parameters are scaled, resulting in a dimensionless equation. The dimensionless coefficient for each reaction/transport term determines its relative contribution to the overall process. The diffusion of ions in a reacting porous medium can be fully described on the basis of six independent dimensionless numbers. The analysis demonstrates that the kinetics of the reaction determines the appropriate time constant for the analysis. The formalism is applied to the dissolution of calcium hydroxide under an electrochemicalpotential gradient. The results are in agreement with previous observations and demonstrate quantitatively the local equilibrium hypothesis is valid in most practical cases where ions are transported by diffusion through a saturatedmaterial.
Cement and Concrete Research
No. 12


building technology, concrete, dimensional analysis, ionic transport, leaching, reaction


Barbarulo, R. , Marchand, J. , Snyder, K. and Prene, S. (2000), Dimensional Analysis of Ionic Transport Problems in Hydrated Cement Systems - Part 1: Theoretical Considerations, Cement and Concrete Research, [online], (Accessed February 21, 2024)
Created November 30, 2000, Updated October 12, 2021