Journal of Engineering Physics and Thermophysics

, Volume 85, Issue 6, pp 1441-1452

First online:

Analytical solution of the Stefan problem with account for the ablation and the temperature-disturbance front

  • V. A. KudinovAffiliated withSamara State Technical University Email author 
  • , A. V. EreminAffiliated withSamara State Technical University
  • , I. V. KudinovAffiliated withSamara State Technical University

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An approximate analytical solution of the problem on the heat conduction of an infinite plate has been obtained on the basis of the determination of the temperature-disturbance front and the introduction of additional boundary conditions with account for the movement of the melting front in the case where the melted substance is completely removed (Stefan problem with ablation). A method for construction of additional boundary conditions, which allows one to obtain solutions of the indicated problem for engineering applications in the form of simple algebraic polynomials free of special functions, is proposed. The accuracy of these solutions is determined by the number of approximations, which is not limited in the case where additional boundary conditions are used.


integral methods Stefan problem temperature-disturbance front melting front heat of phase transition;ablation additional boundary conditions