Moisture retention in porous materials: Difference between revisions

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= Introduction=
= Introduction=
Since porous building materials are capable of adsorbing water vapor present in the air it is possible to determine the correlation between the relative humidity in ambient air and the weight of a material sample by gravimetric analysis. The correlation is attributed to moisture retention in the material, water vapor penetrates the material and is adsorbed on the pore surface, can condensate inside the capillaries or can be chemically bound. The following discussion will solely consider the physical effects of capillary condensation.
Since porous building materials are capable of adsorbing water vapor present in the air, a correlation between the relative humidity in ambient air and the weight of a material sample can be determined by gravimetric analysis. The correlation corresponds to the moisture retention by the material as water vapor penetrates into it and is adsorbed on the pore surface, can condensate in capillaries or can be chemically bound. The following discussion will solely consider the physical effects of capillary condensation.


= Definitions =
= Definitions =


In the discussion about moisture retention processes a differentiation between the <b>hygroskopic</b> and <b>super-hygroscopic</b> region is made. Materials within the hygroscopic region have low moisture content while materials in the super-hygroscopic region display higher moisture content. It is not possible to clearly separate the two regions, for many building materials it lies between 92% and 95% RH.
In discussing moisture retention processes, a differentiation between <b>hygroscopic</b> and <b>super-hygroscopic</b> region is made. Materials have low moisture content in the hygroscopic region, while they display higher moisture content in the super-hygroscopic region. It is not possible to clearly separate the two regions, for many building materials this lies between 92% and 95% RH.  
A possibility for separating the regions is in describing the dominant [[ |moisture transport mechanisms]]. In the hygroscopic region vapor diffusion, in the super-hygroscopic region the capillary liquid water transport prevails. The latter is particularly of interest for the redistribution and transport of salt solution.


The equilibrium weight context between gravimetrically determined humid mass/ moisture content of the building material and a moisture potential can be determined experimentally. Moisture potentials here are the relative humidity and the liquid water pressure and accordingly capillary pressure.
A possibility for separating the regions is by describing the dominant [[moisture transport mechanisms]]. In the hygroscopic region this is vapor diffusion, while in the super-hygroscopic region the capillary liquid water transport prevails. The latter is of particular interest for the redistribution and transport of salt solutions.
 
The equilibrium weight determined gravimetrically from the moisture content of the building material and its correlation to the moisture potential(s) (such as Relative Humidity or the liquid water pressure, i.e., capillary pressure) can be determined experimentally.


= Models for describing moisture retention =
= Models for describing moisture retention =


== Sorption isotherms ==  
== Sorption isotherms ==  
Within the hygroscopic region, usually the relationship between relative humidity and moisture content is shown at constant temperature. This representation is called the '''sorption isotherm''', because it is determined experimentally through a sorption process. In a standard experimental setup a material is oven dried, weighed and then, for a certain time left in a place that has a constant defined relative humidity (e.g. in a desiccators). The sample is weighed in regular time intervals, until a constant weight occurs. The equilibrium moisture content <math>\theta_\ell</math> together with the constant relative humidity <math>\phi</math> inside the desiccators, equals a point <math>\theta_\ell\left(\phi\right)</math> on the sorption isotherm.
Within the hygroscopic region, the relationship between relative humidity and moisture content is usually given at constant temperature. This representation is called the '''sorption isotherm''', because it is determined experimentally through a sorption process. In a standard experimental setup a material is oven dried, weighed and then, for a certain time left in an environment with a defined, constant relative humidity (e.g., in a desiccator). The sample is weighed at regular time intervals, until it reaches a constant weight. The equilibrium moisture content <math>\theta_\ell</math> at the given relative humidity <math>\phi</math>, gives one point <math>\theta_\ell\left(\phi\right)</math> of the sorption isotherm. Several such points have to be determined to obtain the complete isotherm.


== Moisture retention curve ==  
== Moisture retention curve ==  
The super-hygroscopic region starts mostly at 92% RH. In the representation of the sorption isotherm no details about the gradient of the function <math>\theta_\ell\left(\phi\right)</math> can be deducted anymore. This is why another representation is chosen, the moisture retention curve (MRC). With the moisture retention curve, the moisture content is applied above the capillary pressure of the pore solution. On saturation, it reaches 0 Pa, which corresponds to 100% RH. If the material dehumidifies, the capillary pressure increases rapidly (with negative sign). The relationship between capillary pressure and relative humidity is given by the Kelvin- equation:
The super-hygroscopic region starts mostly at 92% RH. In the representation of the sorption isotherm no details about the gradient of the function <math>\theta_\ell\left(\phi\right)</math> can be obtained from it. This is why another representation is chosen, the moisture retention curve (MRC). With the moisture retention curve, the moisture content is applied above the capillary pressure of the pore solution. On saturation, it reaches 0 Pa, which corresponds to 100% RH. If the material dehumidifies, the capillary pressure increases rapidly (with negative sign). The relationship between capillary pressure and relative humidity is given by the Kelvin- equation:


<math>
<math>
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</math>
</math>


With this equation, the two representations of humidity retention behavior of a material can be transferred into one another and converted.
With this equation, the two representations of humidity retention behavior of a material can be transferred from one into the other and converted.


== Literature ==
== Literature ==


<biblist/>
<biblist/>
[[Category:Salt Moisture Transport]] [[Category:R-ANicolai]] [[Category:Nicolai,Andreas]]  [[Category:inReview]] [[Category:Modelling]]
[[Category:Salt Moisture Transport]] [[Category:R-ANicolai]] [[Category:Nicolai,Andreas]]  [[Category:approved]] [[Category:Modelling]]

Latest revision as of 13:21, 14 August 2012

Author: Dr. Andreas Nicolai
English version by Sandra Leithäuser

linked articles


This article describes the mechanisms of moisture retention and common approaches for models and material functions, especially the sorption isotherms and the moisture retention capacity (MRC)


Introduction[edit]

Since porous building materials are capable of adsorbing water vapor present in the air, a correlation between the relative humidity in ambient air and the weight of a material sample can be determined by gravimetric analysis. The correlation corresponds to the moisture retention by the material as water vapor penetrates into it and is adsorbed on the pore surface, can condensate in capillaries or can be chemically bound. The following discussion will solely consider the physical effects of capillary condensation.

Definitions[edit]

In discussing moisture retention processes, a differentiation between hygroscopic and super-hygroscopic region is made. Materials have low moisture content in the hygroscopic region, while they display higher moisture content in the super-hygroscopic region. It is not possible to clearly separate the two regions, for many building materials this lies between 92% and 95% RH.

A possibility for separating the regions is by describing the dominant moisture transport mechanisms. In the hygroscopic region this is vapor diffusion, while in the super-hygroscopic region the capillary liquid water transport prevails. The latter is of particular interest for the redistribution and transport of salt solutions.

The equilibrium weight determined gravimetrically from the moisture content of the building material and its correlation to the moisture potential(s) (such as Relative Humidity or the liquid water pressure, i.e., capillary pressure) can be determined experimentally.

Models for describing moisture retention[edit]

Sorption isotherms[edit]

Within the hygroscopic region, the relationship between relative humidity and moisture content is usually given at constant temperature. This representation is called the sorption isotherm, because it is determined experimentally through a sorption process. In a standard experimental setup a material is oven dried, weighed and then, for a certain time left in an environment with a defined, constant relative humidity (e.g., in a desiccator). The sample is weighed at regular time intervals, until it reaches a constant weight. The equilibrium moisture content Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \theta_\ell} at the given relative humidity Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \phi} , gives one point Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \theta_\ell\left(\phi\right)} of the sorption isotherm. Several such points have to be determined to obtain the complete isotherm.

Moisture retention curve[edit]

The super-hygroscopic region starts mostly at 92% RH. In the representation of the sorption isotherm no details about the gradient of the function Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \theta_\ell\left(\phi\right)} can be obtained from it. This is why another representation is chosen, the moisture retention curve (MRC). With the moisture retention curve, the moisture content is applied above the capillary pressure of the pore solution. On saturation, it reaches 0 Pa, which corresponds to 100% RH. If the material dehumidifies, the capillary pressure increases rapidly (with negative sign). The relationship between capillary pressure and relative humidity is given by the Kelvin- equation:

Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \phi = e^{ p_c / \rho_w R_w T} }

With this equation, the two representations of humidity retention behavior of a material can be transferred from one into the other and converted.

Literature[edit]

There were no citations found in the article.