Proceedings of the International rilem conference Materials, Systems and Structures in Civil Engineering 2016



Yüklə 8,6 Mb.
Pdf görüntüsü
səhifə170/175
tarix19.07.2018
ölçüsü8,6 Mb.
#56746
1   ...   167   168   169   170   171   172   173   174   175

390

International RILEM Conference on Materials, Systems and Structures in Civil Engineering 

Conference segment on Service Life of Cement-Based Materials and Structures

22-24 August 2016, Technical University of Denmark, Lyngby, Denmark 

 

of air at the air-concrete interface whose moisture content depends on the distance to the 



surface of concrete. This is important at the initiation of drying, because the high moisture 

content initially observed at the concrete surface gives rise to a boundary layer of air with 

high humidity at the air-concrete interface, which initially slows the drying kinetics. The 

thickness of this boundary layer strongly depends on the ambient conditions (air flow, 

temperature) and the material surface condition (surface roughness and moisture) [8]. Such 

boundary conditions can be more accurately represented by equation 13, in which J



BC

 

represents the flow of water vapor at the air-concrete external interfacehr



s

 is the relative 

humidity at the interface and hr

e

 is the external air relative humidity. The value of h



BC

 is not 


well defined and can reach values from 1. 10

-2

 [8] to 8.  10



-7

 [9] in natural conditions. 

 

(13)


 

 

4.  Results and discussion 

 

The ongoing tests related to the evolution of the humidity gradient measured by relative 



humidity sensors will not be presented in this section, which focuses on the mass loss. The 

results presented in Figure 3a indicate that when increasing the drying radius, the mass loss as 

a function of time is decreased. The curves representing the mass loss as a function of the 

square root of time (Figure 3b) present three successive stages. First, during the first hours 

after the drying starts, the mass loss increases with an accelerating rate. This stage, which is 

particularly marked in G4, lasts until approximately one day. Then, during the second stage, 

the mass loss increases as a linear function of the square root of time (which corresponds to 

the exact analytical simulation for semi-infinite media). This stage lasts longer as the drying 

radius increases. After more than one month, G1, which has the larger drying radius, still 

exhibits a linear evolution of the mass loss as a function of the square root of time. On the 

other hand, the second stage ends approximately after 3 days. Finally during the third stage, 

the mass loss increases with a decreasing rate. This stage occurs until the equilibrium between 

the concrete sample and the ambient air is reached, at which point no mass variations will be 

observed. These stages are described more thoroughly in following sections. 

 



391

International RILEM Conference on Materials, Systems and Structures in Civil Engineering 

Conference segment on Service Life of Cement-Based Materials and Structures

22-24 August 2016, Technical University of Denmark, Lyngby, Denmark 

 

 

Figure 3: Various representations of the mass loss as a function of time and drying radius 



 

 

4.1. Stage 1: initial drying and boundary layer 

During the first hours and up to one day after the drying starts, the mass loss can be expressed 

as a non-linear function of the square root of time. This observation can be explained by the 

presence of a boundary layer of air at the concrete-air interface. Initially, all water extracted 

from the sample is present in the form of water vapour close to the concrete surface. This 

tends to increase the relative humidity of the ambient air, and therefore decrease the drying 

kinetics. Progressively, the water contained in the porosity in direct contact with the concrete 

surface evaporates. Due to the high diffusivity coefficient of water vapour in air in 

comparison with the concrete(equivalent) permeability and diffusivity, the relative humidity 

of the boundary layer decreases, until eventually reaching a value close to the actual ambient 

conditions. 

In order to calibrate the value of parameter h

CL

, preliminary tests are performed by measuring 



the relative humidity of the air against the drying surface through time. These measurements 

are shown in Figure 4a. Right after drying is initiated, the relative humidity at the surface is 

close to 80%. Then, progressively, it decreases until reaching a value of 55% at 5 days (120h). 

Initially, in order to correspond to these measurements, the best fit value of h



BC

 is situated 




392

International RILEM Conference on Materials, Systems and Structures in Civil Engineering 

Conference segment on Service Life of Cement-Based Materials and Structures

22-24 August 2016, Technical University of Denmark, Lyngby, Denmark 

 

between 2.10



-6

 and 10


-5

. However, progressively, the experimental dots tend to reach values 

closer to h

BC

 of 5.10


-5

. One reason for this is that the exchange coefficient might change in 

time. This experiment indicates that as the saturation degree close to the surface decreases, the 

rate of exchange of water from the surface to the ambient air also decreases. Figure 4b shows 

the effect of changing h

BC

 on the mass loss during the first hours after drying. In the following 

simulations, a value h

BC

=10


-5

 is chosen. 

 

Figure 4: Effect of the exchange coefficient h



BC

 on the surface relative humidity, and 

comparison with experimental values (markers) 

 

The results illustrated in Figure 5a show that the simulation strategy developed in section 3 



allows representing the initial mass loss kinetics. The experiments are shown by dots, while 

the numerical simulations are represented by dashed lines. In these simulations, all parameters 

are kept constant, except for the geometry of the sample. The values of the parameters are all 

extracted from [1], except for the intrinsic permeability, which is fixed at 1.15x10

-21

. For G4, 



the value of the parameter h

BC

 is different than for other geometries. This is due to the specific 

drying surfaces of G4, one of which is the “top” side of the sample which was not in contact 

with the mould during setting and hardening.  

 

Figure 5: Initial mass loss during stage 1 (dots = experiments, dashed lines = simulations) 



 

The surface roughness and porosity is therefore significantly different from all other surfaces, 

justifying a change in the exchange coefficient h

BC

. In the same way, Figure 5b indicates that 




Yüklə 8,6 Mb.

Dostları ilə paylaş:
1   ...   167   168   169   170   171   172   173   174   175




Verilənlər bazası müəlliflik hüququ ilə müdafiə olunur ©www.genderi.org 2024
rəhbərliyinə müraciət

    Ana səhifə