A finite difference scheme to solve one-dimensional problems associated with soil freezing and thawing

• Autorzy: Kozłowski T. , Kolankowska M. , Walaszczyk Ł.

Warianty tytułu

PL

Metoda różnic skończonych do rozwiązywania jednowymiarowych problemów związanych z zamarzaniem i rozmarzaniem gruntu

• Języki publikacji: EN PL

Abstrakty

EN

A finite difference scheme, which can be easily used for PC-programming to solve one-dimensional problems associated with soil freezing and thawing is presented. The method takes into account the real phase equilibria in the soil-water system, thereby being better interpretable both physically and in terms of soil mechanics. Some special computational procedures have been given, among them those relating to the crossing the freezing point and to determining the initial temperature distribution.

Słowa kluczowe

EN

heat transfer; soil; phase changes; soil freezing point; unfrozen water content

PL

wymiana ciepła; grunt; przemiany fazowe; temperatura zamarzania gruntu; zawartość wody niezamarzniętej

• Wydawca: Wydawnictwo Politechniki Świętokrzyskiej
• Czasopismo: Structure and Environment
• Rocznik: 2015
• Tom: Vol. 7, no. 1
• Strony: 34--42
• Opis fizyczny: Bibliogr. 15 poz., rys., wykr., wzory

Twórcy

autor

Kozłowski T.

• Kielce University of Technology

autor

Kolankowska M.

• Kielce University of Technology

autor

Walaszczyk Ł.

• Kielce University of Technology

Bibliografia

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• [2] Goodrich L.E.: Efficient numerical technique for one-dimensional thermal problems with phase change, Int. J. Heat & Mass Transfer 21 (1978), pp. 615-621.
• [3] Sheng D., Knutsson S., Axelsson K.: Verification and application of a numerical model for frost front penetration, in: Frost in Geotechnical Engineering, VTT 94, Espoo, pp. 401-413, 1989.
• [4] Blanchard D., Fremond M.: Soils frost heaving and thaw settlement, in: Ground Freezing, Proceedings of The Fourth International Symposium on Ground Freezing, A.A.Balkema, Rotterdam/Boston, pp. 209-216, 1985.
• [5] Comes-Pintaux A.M., Nguyen-Lamba M.: Finite-element enthalpy method for discrete phase change, Num. Heat Transfer 9 (1986), pp. 403-417.
• [6] Shen M., Ladanyi B.: Numerical solutions for freezing and thawing of soils using boundary-conforming curvilinear coordinate systems, in: Frost in Geotechnical Engineering, VTT Symposium 94, Espoo, pp. 391-400, 1989.
• [7] Smith M.W., Riseborough D.W.: The sensitivity of thermal predictions to assumptions in soil properties, [in:] Ground Freezing, Proceedings of The Fourth International Symposium on Ground Freezing, A.A.Balkema, Rotterdam/Boston, 1985, pp. 17-24.
• [8] Kozlowski T.: A comprehensive method of determining the soil unfrozen water curves; 1: Application of the term of convolution, Cold Regions Science & Technology, 36 (2003), pp. 71-79.
• [9] Kozlowski T.: A comprehensive method of determining the soil unfrozen water curves; 2: Stages of the phase change process in frozen soil-water system, Cold Regions Science & Technology, 36 (1-3) (2003), pp. 81-92.
• [10] Kozlowski T.: Soil freezing point as obtained on melting, Cold Regions Science & Technology, 38(2-3) (2004), pp. 93-101.
• [11] Kozlowski T.: A semi-empirical model for phase composition of water in clay-water systems, Cold Regions Science and Technology, 49 (2007), pp. 226-236.
• [12] Baehr H.D., Stephan K.: Heat and Mass Transfer, Springer-Verlag, Berlin, 1998.
• [13] Smith G.D.: Numerical solution of partial differential equations, in: Finite Difference Methods, Clarendon Press, Oxford, 1985.
• [14] Allen M.B., Herrera I., Pinder G.F.: Numerical Modelling in Science and Engineering, John Willey & Sons, New York, 1988.
• [15] Lukyanov W.S., Golovko M.D.: Calculation of the Frost Depth in Soils (Razchet Glubiny Promerzaniya Gruntov, in Russian), Gosudarstvennoye Transportnoye Zheleznodorozhniye Izdatelstvo, Moskva, 1958.