Surface changes of temperature and matter due to coupled transport processes through porous media

Kirschner, I.; Mészáros, Cs.; Bálint, Ágnes; Gottschalk, Klaus; Farkas, I.

doi:10.1088/0305-4470/37/4/007

Cited by 7 publications

(6 citation statements)

References 8 publications

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“…[19] We solve it directly by use of the MAPLE-10 (MAPLE, 2005) [20] symbolic computer algebra system, which has made it possible for novel types of solutions of some fundamental convection problems, too. [21,22] The solutions of the space-and time-dependent parts are respectively (2) where K, K 1 and K 2 are integration constants. The coefficient of constant value equating the timedependent exponential factor with F 2 (t) will be directly incorporated into K 1 and K 2 .…”

Section: Analytical Solution and Stochastic Refinement Of The Convect...mentioning

confidence: 99%

Transient transport processes in deformable porous media

Mészáros¹,

Bálint²

2011

Chinese Phys. B

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The basic partial differential equations relevant for convection-diffusion and convection-diffusion-wave phenomena are presented and solved analytically by using the MAPLE symbolic computer algebra system. The possible general nonlinear character of the constitutive equation of the convection-discussion process is replaced by a direct posteriori stochastic refinement of its solution represented for Dirichlet-type boundary conditions. A thermodynamic analysis is performed for connecting the relaxation time constants and Jacobi-determinants of deformations at transient transport processes. Finally, a new procedure for general description of coupled transport processes on the basis of the formalism originally developed for convection-free phenomena is presented by matrix analysis methods in the Fourier space.

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Section: Analytical Solution and Stochastic Refinement Of The Convect...mentioning

confidence: 99%

Transient transport processes in deformable porous media

Mészáros¹,

Bálint²

2011

Chinese Phys. B

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“…[6] When the processes for slow changes inside the body are negligible in relation to the time elapsed for the condensation process described here, a fruit can assumed to be a solid, impermeable object. Regarding these assumptions, an uncomplicated model can be applied as an approach to describe the condensation and evaporation processes on fruit surfaces under practical conditions.…”

Section: The Transpiration Modelmentioning

confidence: 99%

Modeling Condensation and Evaporation on Fruit Surface

et al. 2007

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2Szent Istv a an University, HU-2103. Gö dö ll, Pater K.u.1., HungaryRewarming of fruits and vegetables after cooling is characterized by heat and mass transfer processes, which leads commonly to condensation of water on the produce surface at temperatures below the dew point. This effect may affect the produce quality due to microbial growth at unfavorable environmental conditions. The amount of condensed water is a function of the produce surface temperature and of the surrounding conditions as air temperature, air humidity, and air flow. Under practical conditions, both the warming and the condensation are strongly affected by the packaging system used. Depending on the flow conditions close to the produce surface, parameters of heat and mass transfer under laboratory conditions were measured. A mathematical model was developed for the determination of the amount of condensed water on fruit surfaces, its reevaporation, and its total dwell time dependent on the environment air conditions. The model describes the heat and mass transfer processes on single fruits. The process of diffusion of humidity in air and proceed of surface temperature is the basis for the model.

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“…[3,29] Within framework of the approximation leading to (24), the solution of the system of (17)- (18) is…”

Section: Applications Of the Percolation Theory Of Phase Transitionsmentioning

confidence: 99%

Mathematical Modeling of Drying Processes Using Methods of the Nonequilibrium Thermodynamics and Percolation Theory

et al. 2007

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Surface changes of temperature and matter due to coupled transport processes through porous media

Cited by 7 publications

References 8 publications

Transient transport processes in deformable porous media

Transient transport processes in deformable porous media

Modeling Condensation and Evaporation on Fruit Surface

Mathematical Modeling of Drying Processes Using Methods of the Nonequilibrium Thermodynamics and Percolation Theory

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