Studying heat and moisture transfer phenomena during liquid-solid phase transitions in multilayer objects
Source abstract
Abstract
The Stefan problem on the movement of the freezing plane in multilayer objects is considered. Numerical methods for integrating the heat-and moisture-transfer equations are used to solve this problem in practice during calculation of the current coordinate of the freezing front in multilayer external protecting structures with time-dependent surface temperatures. During integration of the Stefan equation, the phase-transition process is taken into account via an abrupt jump of the material’s specific heat in the vicinity of the phase-transition temperature. Examples of numerical calculations of the time dependence of the freezing plane’s position in multilayer structures are presented. An algorithm for determining the current coordinate of the dew point in multilayer objects is proposed.
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Research context
OpenAlex topics: Phase Change Materials Research · Coal Combustion and Slurry Processing · Radiative Heat Transfer Studies
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References (27)
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1. Luikov, A.V., Heat and Mass Transfer in Capillary Porous Bodies, Oxford: Pergamon, 1966.
2. Bransier, J., Storage periodique par chaleur latente: aspects fondamentaux lied a la cinetique des transferts, Int. J. Heat Mass Transfer, 1979, vol. 22, pp. 875–883.10.1016/0017-9310(79)90028-0 ↗
3. Bardon, J.P., Vrignaud, E., and Delaunay, D., Etude experimentale de la fusion et de la solidification periodique d’une plaque de paraffine, Rev. Gen. Therm., 1979, vols. 212–213, pp. 501–510.
4. Hasan, M., Mujumdar, A.S., and Weber, M.E., Cyclic Melting and Freezing, Chem. Eng. Sci., 1991, vol. 46, pp. 1573–1587.10.1016/0009-2509(91)87006-X ↗
5. Voller, V.R., Felix, P., and Swaminathan, C.R., Cyclic Phase Change with Fluid Flow, Int. J. Numer. Meth. Heat Transfer Fluid Flow, 1966, vol. 6, no. 4, pp. 57–64.10.1108/09615539610123450 ↗
6. Ghasemi, B. and Molki, M., Cyclic Melting and Solidification of Steels, Numer. Heat Transfer A, 1997, vol. 32, pp. 877–896.10.1080/10407789708913922 ↗
7. Casano, G. and Piva, S., Experimental and Numerical Investigation of the Steady Periodic Solid-Liquid Phase-Change Heat Transfer, Int. J. Numer. Meth. Heat Transfer Fluid Flow, 2002, vol. 12(14?), pp. 4181–4190.
8. Yao, L.S. and Prusa, J., Melting and Freezing, Adv. Heat Transfer, 1989, vol. 19, pp. 1–95.10.1016/S0065-2717(08)70211-9 ↗
9. Pekhovich, A.I. and Zhidkin, V.M., Raschety teplovogo rezhima tverdykh tel (Calculations of Thermal Regimes of Solid Bodies), Leningrad: Energiya, 1976.
10. Crank, J., Free and Moving Boundary Problems, Oxford: Clarendon Press, 1984.
11. Mennig, J. and Ozisik, M.N., Coupled Integral Equation Approach for Solving Melting or Solidification, Int. J. Mass Transfer, 1985, vol. 28, pp. 1481–1485.10.1016/0017-9310(85)90250-9 ↗
12. Furzeland, R.M., A Comparative Study of Numerical Methods for Moving Boundary Problems, J. Inst. Math. Appl., 1980, vol. 5, pp. 411–429.10.1093/imamat/26.4.411 ↗
13. Rizwan-uddin, One-Dimensional Phase Change with Periodic Boundary Conditions, Numer. Heat Transfer A, 1999, vol. 35, pp. 361–372.10.1080/104077899275173 ↗
14. Goodman, T.R., The Heat-Balance Integral Method and Its Application to Problems Involving a Change of Phase, Trans. ASME, 1958, vol. 80, pp. 335–342.
15. Marshall, G., A Front Tracking Method for One-Dimensional Moving Boundary Problems, SIAM J. Sci. Stat. Comput., 1986, vol. 7, pp. 252–263.10.1137/0907017 ↗
16. Churchill, S.W. and Gupta, J.P., Approximations for Conduction with Freezing or Melting, Int. J. Heat Mass Transfer, 1976, vol. 20, pp. 1251–1253.10.1016/0017-9310(77)90134-X ↗
17. Voller, V.R. and Cross, M., Application of Control Volume Enthalpy Methods in the Solution pf Stefan Problems, in Computational Techniques in Heat Transfer, Lewis, R.W., Morgan, K., Johnson, J.A., and Smith, W.R., Eds., Mambles, Swansea: Pineridge Press Ltd., 1985.
18. Caldwell, J. and Chan, C.C., Spherical Solidification by the Enthalpy Method and the Heat Balance Integral Method, Appl. Math. Model, 2000, vol. 24, pp. 45–53.10.1016/S0307-904X(99)00031-1 ↗
19. Asaithambi, N.S., A Variable Time-step Galerkin Method for a One-Dimensional Stefan Problem, Appl. Math. Comput., 1997, vol. 81, pp. 189–200.10.1016/0096-3003(95)00329-0 ↗
20. Rizwan-uddin, Anodal Method for Phase Change Moving Boundary Problems, Int. J. Comp. Fluid Dynam., 1999, vol. 11, pp. 211–221.10.1080/10618569908940875 ↗
21. Moyano, E.A. and Scarpettini, A., Numerical Stability Study and Error Estimation for Two Implicit Schemes in a Moving Boundary Problem, Numer. Meth. Part. Di. Equat., 2000, vol. 16, pp. 42–61.10.1002/(SICI)1098-2426(200001)16:1<42::AID-NUM4>3.0.CO;2-L ↗
22. Finn, W.D. and Voro glu E., Finite Element Solution of the Stefan Problem, The Mathematics of Finite Elements and Applications, Whiteman, J.R., Ed. (MAFELAP, 1978), New York: Academic Press, 1979.
23. Asaithambi, N.S., A Galerkin Method for Stefan Problems, Appl. Math. Comput., 1992, vol. 52, pp. 239–250.10.1016/0096-3003(92)90081-B ↗
24. Cerny, R. and Prikryl, P., Numerical Solution of a Stefan-Like Problem in Laser Processing of Semiconducting Alloys, Math. Comput. Simulat., 1999, no. 50, pp. 165–173.10.1016/S0378-4754(99)00069-5 ↗
25. Parfent’eva, N.A. and Samarin, O.D., Oscillations of a Freezing Front in Barriers and Numerical Simulation of a Stefan Problem, Stroit. Mater., Oborudovanie, Tekhnol., 2002, no. 11, pp. 46–47.
26. Prusakov, G.M., Matematicheskie modeli v raschetakh na EVM (Mathematical Models in Computer Calculations), Moscow: Nauka, 1993.
27. Teoriya teplomassoobmena (The Theory of Heat and Mass Exchange), Leont’ev, A.I., Ed., Moscow: Vysshaya Shkola, 1979.