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Abstract <p>Experimental findings on heat transfer processes in micro- and nanoscale devices and structures deviate significantly from theoretical predictions obtained using classical heat conduction models. When applying the Biot–Fourier hypothesis to describe thermal energy distribution, the influence of the finite neighborhood of a point and the retardation effects on changes in heat flux and temperature are not considered. These phenomena, which arise at the micro- and nanoscale, are known as nonlocal effects. Consequently, the challenge arises to develop and investigate macroscopic mathematical models that account for nonlocality at the micro-level.</p>

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Analysis of a Two-Parameter Nonlocal Heat Conduction Model with Pulsed Heating

  • 期刊论文

  • 发表日期：

    2026年5月23日

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  • I. V. Kutuzov

摘要

Abstract

Experimental findings on heat transfer processes in micro- and nanoscale devices and structures deviate significantly from theoretical predictions obtained using classical heat conduction models. When applying the Biot–Fourier hypothesis to describe thermal energy distribution, the influence of the finite neighborhood of a point and the retardation effects on changes in heat flux and temperature are not considered. These phenomena, which arise at the micro- and nanoscale, are known as nonlocal effects. Consequently, the challenge arises to develop and investigate macroscopic mathematical models that account for nonlocality at the micro-level.