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<p>Nonstationary heat conduction through the rigid conductor transferring heat either into the reservoir containing fluid or into the thin layer, where the whole system is ideally insulated, is considered by the analytical means of the Laplace transform. Assuming an arbitrary initial temperature distribution in a conductor and initial temperature of either fluid or layer, the temperature field for conductor, as well as either fluid or layer temperature, is obtained in Laplace domain. The time evolution of spatial temperature distribution in a conductor, as well as the time change of either fluid or layer temperature, is calculated and graphically presented for several cases of initial temperature distributions, including both uniform and nonuniform ones.</p>

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Nonstationary heat conduction inducing either fluid reservoir or thin layer heating

  • 期刊论文

  • 发表日期：

    2025年5月30日

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  • Miodrag Žigić,
  • Nenad Grahovac,
  • Valentin Glavardanov,
  • Dušan Zorica

摘要

Nonstationary heat conduction through the rigid conductor transferring heat either into the reservoir containing fluid or into the thin layer, where the whole system is ideally insulated, is considered by the analytical means of the Laplace transform. Assuming an arbitrary initial temperature distribution in a conductor and initial temperature of either fluid or layer, the temperature field for conductor, as well as either fluid or layer temperature, is obtained in Laplace domain. The time evolution of spatial temperature distribution in a conductor, as well as the time change of either fluid or layer temperature, is calculated and graphically presented for several cases of initial temperature distributions, including both uniform and nonuniform ones.