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Composites: Mechanics, Computations, Applications: An International Journal

ISSN Print: 2152-2057
ISSN Online: 2152-2073

Composites: Mechanics, Computations, Applications: An International Journal

DOI: 10.1615/CompMechComputApplIntJ.v1.i1.20
pages 25-35

ANALYTICAL STUDY OF STEFAN-TYPE PROBLEMS IN COMPOSITES WITH AN ARBITRARY NUMBER OF MOVING BOUNDARIES OF PHASE TRANSITIONS

V. F. Formalev
Moscow Aviation Institute (National Research University), Moscow, Russia
Ek. L. Kuznetsova
Moscow Aviation Institute (National Research University), Moscow, Russia
I. A. Selin
Moscow Aviation Institute (State Technical University), Moscow

ABSTRACT

The problem on heat transfer in semi-infinite bodies with an arbitrary number of unsteady moving boundaries of phase transition (Stefan-type problems) has been formulated and solved analytically. Such problems arise in high-temperature heating of composite materials when destruction of binders is accompanied by formation of moving boundaries of the start and end of phase transitions, boundaries of mass entrainment, etc. An analytical solution of the Stefan-type problem has been obtained at an arbitrary number of unsteady moving boundaries and heat transfer in the presence of two moving boundaries has been studied in detail.

REFERENCES

  1. Formalev, V. F., Fedotenkov, G. V., and Kuznetsova, Ek. L., General approach to modeling of a thermal state of composite materials at high-temperature loading.

  2. Carslow, H. S. and Jaeger, J. C., Teploprovodnost tverdykh tel (Conduction of Heat in Solids).

  3. Formalev, V. F., Kolesnik, S. A., and Mikanev, S. V., Modeling of a thermal state of composite materials.

  4. Kuznetsova, Ek. L., Mathematical Modeling of Heat and Mass Transfer in Composite Materials with High-Rate Heating.

  5. Formalev, V. F. and Kuznetsova, Ek. L., Multidimensional heat transfer in the presence of phase transitions in anisotropic composite materials.