On systems of differential equations for heat and mass transfer in capillary porous bodies

Lykov, A. V.

doi:10.1007/bf00827280

Cited by 46 publications

(58 citation statements)

References 0 publications

Supporting

Mentioning

Contrasting

Unclassified

Order By: Relevance

“…Moisture in wood can exist in different forms such as free water, bound water or water vapor during treatment. In the literature, there are various models reported for the conventional drying process, but very few are available for the thermal treatment of wood at high temperature [6][7][8][9][10]. Three different models have been used to represent the thermal treatment process, which predict the temperature and moisture distributions in wood as a function of time.…”

Section: Mathematical Modelsmentioning

confidence: 99%

See 1 more Smart Citation

Comparison of different models for the high-temperature heat-treatment of wood

Kocaefe

Younsi

Poncsák

et al. 2007

International Journal of Thermal Sciences

View full text Add to dashboard Cite

Section: Mathematical Modelsmentioning

confidence: 99%

“…In this model, wood is represented as a capillary porous medium based on Luikov's approach [6][7][8]. The wood was assumed to be homogeneous and isotropic with initially uniform temperature and moisture distribution.…”

Section: Model Based On Luikov's Approachmentioning

confidence: 99%

Comparison of different models for the high-temperature heat-treatment of wood

Kocaefe

Younsi

Poncsák

et al. 2007

International Journal of Thermal Sciences

View full text Add to dashboard Cite

“…Regarding phase transitions in the pore space of a porous aggregate, the earliest work to the authors' knowledge goes back to Lykov (1974). Further articles in this direction have been presented by the group around Bénet (Lozano et al 2009;Ruiz and Bénet 2001;Chammari et al 2005;Lozano et al 2008), by Hassanizadeh and Gray (Gray 1983;Hassanizadeh and Gray 1990;Niessner and Hassanizadeh 2009a, b), or by Bedeaux and Kjelstrup (1999).…”

Section: Introductionmentioning

confidence: 99%

Interfacial Mass Transfer During Gas–Liquid Phase Change in Deformable Porous Media with Heat Transfer

Ehlers

Häberle

2016

Transp Porous Med

View full text Add to dashboard Cite

Transitions between liquid and gaseous phases of a fluid material are characterised by a jump in density and the coexistence of both phases during the phase change process. The jump occurs at the interface between the fluid phases and can be handled numerically by the introduction of a singular surface. This allows for a thermodynamically consistent description of mass transfer across the interface and the transition of the interfacial term towards the mass production term included in the mass balance equations. In the present article, a multicomponent and multiphasic porous aggregate is treated in a non-isothermal environment, while accounting for the thermodynamics of the fluid-phase transitions. Based on the Theory of Porous Media, this approach provides a well-founded continuum mechanical basis for the description of deformable, fluid-saturated porous solid aggregates. In particular, a bicomponent, triphasic model is proposed consisting of a thermoelastic porous solid, which is percolated by compressible gaseous and liquid fluid phases. The thermodynamical behaviour, i.e. the dependency of the fluid densities on temperature and pressure, is governed by the van der Waals equation of state and the Antoine equation for the vaporisation-condensation line. Moreover, the interface between the fluid phases is represented by a singular surface and results in jump conditions included in the balance relations of the components of the overall aggregate. The evaluation of the jump conditions leads to a formulation of the interfacial mass transfer, which basically relates the energy added to the system to the latent heat needed for the phase change in a certain amount of a substance. The mass transfer itself or the mass production, respectively, furthermore depends on interfacial areas introduced as a function of

show abstract

“…Some authors have numerically considered the problem of thermal treatment of wood at high temperature as a conjugate simultaneous heat and mass transfer through porous medium [7,[24][25][26]. The theory of transport phenomena in porous materials can be found in several investigations [27][28][29][30][31]. Younsi and coworkers showed the necessity of solving Navier-Stokes equations in the surroundings of the wood sample in order to get more information about the boundary conditions for the transport equations in the medium and then solve the complete thermal problem [25,32,33].…”

Section: Introductionmentioning

confidence: 99%