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Abstract <p>Analytical modeling of the propagation of thermal perturbations in a one-dimensional semiinfinite object is based on a hyperbolic heat conduction equation. Integral Laplace transformation with respect to the time is employed; homogeneous initial conditions are assumed. Satisfaction of the boundary conditions yields transforms whose inversion is relatively simple on the basis of tables of Laplace transformations and their properties. By that means, the temperature distributions over time and the coordinate are determined.</p>

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Heat Transfer in Media with Finite Velocity of Thermal Perturbations

  • 期刊论文

  • 发表日期：

    2025年1月1日

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  • P. F. Pronina,
  • O. V. Tushavina

摘要

Abstract

Analytical modeling of the propagation of thermal perturbations in a one-dimensional semiinfinite object is based on a hyperbolic heat conduction equation. Integral Laplace transformation with respect to the time is employed; homogeneous initial conditions are assumed. Satisfaction of the boundary conditions yields transforms whose inversion is relatively simple on the basis of tables of Laplace transformations and their properties. By that means, the temperature distributions over time and the coordinate are determined.