Effective Diffusivity Determination Considering Shrinkage by Means of Explicit Finite Difference Method

Park, K. J.; Ardito, T. H.; Ito, Ana Paula; Park, K. J. B.; Oliveira, Rafael Augustus de; Chiorato, M.

doi:10.1080/07373930701438873

Cited by 14 publications

(10 citation statements)

References 2 publications

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“…A few studies, describing the sample dimensional correction, can be found in literature. Some data can be found in the papers [17][18][19][20]. Silva [21] presented, a way of solving the diffusion equation for the case of spherical samples.…”

Section: Theoretical Developmentmentioning

confidence: 99%

Methods of Determination for Effective Diffusion Coefficient During Convective Drying of Clay Products

Vasić¹,

Grbavčić²,

Radojević³

2012

Clay Minerals in Nature - Their Characterization, Modification and Application

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Section: Theoretical Developmentmentioning

confidence: 99%

Methods of Determination for Effective Diffusion Coefficient During Convective Drying of Clay Products

Vasić¹,

Grbavčić²,

Radojević³

2012

Clay Minerals in Nature - Their Characterization, Modification and Application

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“…In this article, the procedure for determining the diffusion coefficient differs from those described in references by Basau et al (2006), Babenko and Ivanov (2008), Chen (2007), Dadali et al (2007), Garbalińska (2002a), Garbalińska (2002b), Garbalińska (2006), Park et al (2007), and Stora et al (2008). Here, one diffusion coefficient D eff , termed "the effec- tive diffusion coefficient," is used for description of the moisture transport as a whole.…”

Section: List Of Symbolsmentioning

confidence: 95%

Moisture Transfer Between Unsaturated Cement Mortar and Ambient Air

2010

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The objective of this article is to provide a description of moisture transport in building materials by application of a non-linear diffusion model, in which the effective coefficient of diffusion D eff , being a function of moisture content, is implemented. This article proposes the method of determination of this coefficient through correlation of the theoretical desorption isotherms with the experimental ones. To this aim, a number of desorption isotherms at temperature T = 20 • C for several narrow ranges, being adjacent to each other, and for broad ranges of the air relative humidity ϕ were established experimentally for cement mortar samples with water/cement ratio w/c = 0.50. The new knowledge contained in this article concerns some long-lasting measurements carried out in desiccators, for both narrow and broad ranges of the air humidity changes, and evaluation of the diffusion coefficient by applying an advanced optimization algorithm. The final conclusion is that the non-linear diffusion theory well reflects the moisture transport in hygroscopic porous materials like cement mortar.Keywords Building materials · Moisture transport · Non-linear diffusion · Modeling · Model validation Electronic supplementary material The online version of this article (A Area of the disc face (m 2 ) C Moisture concentration in air (kg/m 3 ) C s Moisture concentration adsorbed by pore walls (kg/m 3 ) D Coefficient of diffusion in gas phase (m 2 /s) D s Coefficient of diffusion in adsorbed phase (m 2 /s) D eff Effective coefficient of diffusion (m 2 /s) d Diameter of the sample (m) k Coefficient of convective exchange of vapor (m/s) l Half height of the sample (m) m w Mass of water in the sample (g) m Actual total mass of the sample (g) m ∞ Mass of the sample at the end of desorption (g) R Capillary radius (m) t Time (s) x Spatial coordinate (m) X Two-dimensional vector (-)Greek symbols α Reflection coefficient (-) β Expansion coefficient (-) δ Thickness of absorption layer (m) ϕ Air relative humidity (%)

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“…This model assumes that the product is a continuum material at the macroscopic scale and describes the combined mass transfer of liquid and water vapor using an effective diffusion mass transfer coefficient (D). This model was considered in this work because it may represent the most widely used mass transfer model to describe the addition or removal of water content and has been validated for many chemical, pharmaceutical or bioproducts [17][18][19][20][21][22][23][24]. A rectangular product of dimensions L Â l Â w, where L >> w, l >> w and w is the product thickness was considered:…”

Section: Mass Transfer Modelmentioning

confidence: 99%

Effect of the water content measurements on the estimation and identifiability of water diffusion and convection mass transfer coefficients

Mercier

Marcos

Moresoli

et al. 2015

International Journal of Heat and Mass Transfer

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Effective Diffusivity Determination Considering Shrinkage by Means of Explicit Finite Difference Method

Cited by 14 publications

References 2 publications

Methods of Determination for Effective Diffusion Coefficient During Convective Drying of Clay Products

Methods of Determination for Effective Diffusion Coefficient During Convective Drying of Clay Products

Moisture Transfer Between Unsaturated Cement Mortar and Ambient Air

Effect of the water content measurements on the estimation and identifiability of water diffusion and convection mass transfer coefficients

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