Refrigeration Engineering and Technology

ISSN-print: 0453-8307
ISSN-online: 2409-6792
ISO: 26324:2012
Архiви

New Non-Stationary Gradient Model of Heat-Mass-Electric Charge Transfer in Thin Porous Media

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V. Rogankov
M. Shvets
O. Rogankov

Анотація

The well-known complicated system of non-equilibrium balance equations for a continuous fluid (f) medium needs the new non-Gibbsian model of f-phase to be applicable for description of the heterogeneous porous media (PMs). It should be supplemented by the respective coupled thermal and caloric equations of state (EOS) developed specially for PMs to become adequate and solvable for the irreversible transport f-processes. The set of standard assumptions adopted by the linear (or quasi-linear) non-equilibrium thermodynamics are based on the empirical gradient-caused correlations between flows and forces. It leads, in particular, to the oversimplified stationary solutions for PMs. The most questionable but typical modeling suppositions of the stationary gradient (SG) theory are: 1) the assumption of incompressibility accepted, as a rule, for f-flows; 2) the ignorance of distinctions between the hydrophilic and hydrophobic influence of a porous matrix on the properties; 3) the omission of effects arising due to the concomitant phase intra-porous transitions between the neighboring f-fragments with the sharp differences in densities; 4) the use of exclusively Gibbsian (i.e. homogeneous and everywhere differentiable) description of any f-phase in PM; 5) the very restrictive reduction of the mechanical velocity field to its specific potential form in the balance equation of f-motion as well as of the heat velocity field in the balance equation of internal energy; 6) the neglect of the new specific peculiarities arising due to the study of any non-equilibrium PM in the meso- and nano-scales of a finite-size macroscopic (N,V)-system of discrete particles. This work is an attempt to develop the alternative non-stationary gradient (NSG) model of real irreversible processes in PM. Another aim is to apply it without the above restrictions 1)-6) to the description of f-flows through the obviously non-Gibbsian thin porous medium (TPM). We will suppose that it is composed by two inter-penetrable fractal sf-structures of f-phase (formed by the “mixture” of g- and l-phases termed, in total, interphase) and solid (s) porous matrix termed below s-phase. The permanent influence of humidity and the respective increase of the moisture content in TPM including the unavoidable phenomenon of capillary condensation are the main factors to occur the non-stationary transport f-flows through its texture.
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Як цитувати
Rogankov, V., Shvets, M., & Rogankov, O. (2017). New Non-Stationary Gradient Model of Heat-Mass-Electric Charge Transfer in Thin Porous Media. Refrigeration Engineering and Technology, 53(5), 33-46. https://doi.org/10.15673/ret.v53i5.850
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ЕНЕРГЕТИКА ТА ЕНЕРГОЗБЕРЕЖЕННЯ

Посилання

1. O.V.Rogankov Jr., M.V.Shvets and V.B.Rogankov, Alternate basic l/b-model of effective porosity created for hydrophilic (l) and/or hydrophobic (b) moist textile materials, Fibres and Textiles in Eastern Europe 2016; 24, 3(117): 51-57. DOI: 10.5604/12303666.1196612.

2. I.Dyarmati, Non-equilibrium thermodynamics. Fluid theory and variational principles, Mir, M., 1974.

3. P.Glansdorf and I.Prigogine, Thermodynamic theory of structure, stability and fluctuations, Mir, M., 1973.

4. V.B.Rogankov and V.K.Fedyanin, Fluctuational theory of media with strong space-time inhomogeneity, Theor. and Math. Phys, v.97, 53-67 (1993).

5. V.B.Rogankov and V.I.Levchenko, Global asymmetry of fluids and local singularity in the diameter of the coexistence curve, Phys.Rev.E 87, 052141 (2013).

6. V.B.Rogankov, Fluctuational-thermodynamic interpretation of small angle X-ray scattering experiments in supercritical fluids, Fluid Phase Equilibria 383, 115-125 (2014).

7. D.A. de Vries, The theory of heat and moisture transfer in porous media revisited, Int. J. Heat and Mass Transfer, v.7, 1343-1350 (1987).

8. K.Vafai, Handbook of porous media, Tayler and Francis, NY, USA, 2005.

9. S.Larbi, Heat and mass transfer with condensation in capillary porous bodies, Hindawi Publ.Corpor., The Scientific World Journ., v.2014, Art ID 194617, 8.

10. ISO 9346: 2007 “Hydrothermal performance of buildings and building materials – Physical quantities for mass transfer.-Vocabulary.

11. M.Janz-Lund, Method of measuring the moisture diffusivity at high moisture levels, Division of building materials – Report TVBM-3076-1997. 76 p.

12. H.M.Kunzel and K.Kiessi, Calculation of heat and moisture transfer in exposed building components, Int.J of Heat and Mass Transfer, 1997, v.40, № 1, рр.159-167.

13. M.I.Nizovtsev, S.V.Stankus, A.N.Sterkyagov, V.I.Terekhov, R.A.Khairullin, Determination moisture diffusivity in porous building materials using gamma-method, Int.J of Heat and Mass Transfer, 2008, v.51, Issues 17-18, рр.4161-4167.

14. N.V.Pavlukevich, Introduction to theory of heat- and mass transfer in porous media – Minsk, Inst. of Heat and Mass Exchange - NANB, 2002, p.140.

15. M.I.Nizovtzev, A.N.Sterliagov, V.I.Terehov, Verification of model for calculation of coupled thermal and moisture transfer at the humidity of gas-concrete – Izv. Vyzov. Building – 2008, № 1, p. 104, 2008.

16. U.B.Rumer and M.Sh.Ryvkin, Thermodynamics, Statistical Physics and Kinetics, Nauka, M., 1972.

17. V.B.Rogankov and L.Z.Boshkov, Gibbs solution of the van der Waals-Maxwell problem and universality of the liquid-gas coexistence curve, Phys.Chem.Chem.Phys. 4, 873-878 (2002).

18. V.B.Rogankov, Asymmetry of heterophase fluctuations in nucleation theory, in Nucleation Theory and Applications (edited by J.W.P.Schmelzer, G.Röpke and V.B.Priezjev) Chapt. 22, Dubna, JINR, 2011.

19. V.B.Rogankov and V.I.Levchenko, Towards the equation of state for neutral (C2H4), polar (H2O), and ionic ([bmim][Bf4], [bmim][Pf6], [pmmim][Tf2N]) liquids, Journal of Thermodynamics, Volume 2014, Article ID 496835, 15 pages, http://dx.doi.org/10.1155/2014/496835

20. V.B.Rogankov, Scaling Model of Low-Temperature Transport Properties for Molecular and Ionic Liquids, Journal of Termodynamics, Volume 2015, Article ID 208486, 11 pages, http://dx.doi.org/10.1155/2015/208486

21. O.V.Rogankov Jr. and V.B.Rogankov, Can the Boyle and critical parameters be unambiguously correlated for polar and associating fluids, liquid metals, ionic liquids? Fluid Phase Equilibria 2017, 434, 200-210 http://dx.doi.org/10.1016/j.fluid.2016.11.034

22. C.L.Tucker III and R.B.Dessenberger, Governing equation for flow and heat transfer in stationary fiber beds, in S.G.Advani, ed. Flow and Rheology in Polymer Composites Manufacturing, Chapt. 8, N.-Y., Elsevier Sci., 1994, pp. 257-323.

23. R.G.Carbonell and S.Whitaker, Dispersion in pulsed systems II. Theoretical developments for passive dispersion in porous media, Chem. Eng. Sci. 38, 1795, 1983.

24. S.G.Advani and K.-T.Hsiao, Transport phenomena in liquid composites molding processes and their roles in process control and optimization, in K.Vafai ed. Handbook of porous media (see [8]) pp. 573-606.

25. A.Amiri and K.Vafai, Transient analysis of incompressible flow through a packed bed, Int. J. Heat and Mass Transfer 41, 4259, 1998.

26. F.Zanotti and R.G.Carbonell, Development of transport equation for multiphase system I-III, Chem. Eng. Sci. 39, 263, 1984.

27. M.Quintard and S Whitaker, One and two equation models for transient diffusion processes in two phase systems, Advan. Heat. Transfer 23, 269, 1993.

28. S Whitaker, The method of volume averaging, Dordrecht, Kluwer, 1999.

29. A.V.Kuznetsov, Thermal nonequilibrium forced convection in porous media, in D.B.Ingham and I.Pop, eds. Transport Phenomena in Porous Media, Amsterdam; Elsevier, 1998, pp.103-129.

30. A.S.Iberall, Permeability of glass wool and other highly porous media, Rep. Bur. Aeronautics Navy Depart., Washington, DC, USA, 398-406.

31. V.B.Rogankov, V.I. Levchenko and Y.K. Kornienko, Fluctuational equation of state and hypothetical phase diagram of super-heated water and two imidazolium-based ionic liquids, J. of Mol. Phys., 02919 (2009), p.1-6.

32. V.B.Rogankov, Disorder parameter, asymmetry and quasibinodal of water at negative pressures, In "Metastable states of simple and complex compounds", edited by S.Rzoscka and V.A.Mazur; NATO Sci Ser S. Publ.2009, pp.21-27.

33. A.Saul and W.Wagner, J. International Equations for the saturated properties of ordinary water substance, Phys. Chem. Ref. Data: 16, 893, 1987.

34. W.G.Hoover, G.Stell, E.Goldmark and G.D.Degani, Generalized van der Waals equation of state, Chem.Phys. 63, 5434-5438 (1975).

35. J.O.Hirschfelder, C.F.Curtiss and B.B.Bird, Molecular Theory of Gases and Liquids, J.Wiley and Sons, N.Y., 1954.

36. V.B.Rogankov ,O.G.Byutner, T.A.Bedrova and T.V.Vasiltsova, Local phase diagram of binary mixtures in the near-critical region of solvent, J.Molec.Liq., 127, 53-59 (2006).