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<p>The present work develops the well-known analogy and cross-coupling between heat conduction and moisture diffusion for an infinite semiconductor with a spherical cavity in context of photothermal transport process. A linear hygrothermoelastic theory is adopted assimilating the nonlocal stress theory proposed by Eringen. The heat transport and the moisture diffusion equations have been formulated in the context of Moore–Gibson–Thompson theory defined within a sliding interval adjoining the memory-dependent derivative. The surface of the cavity is free of moisture concentration and is subjected to exponentially decaying pulse and prescribed carrier density flux. Embedding the Laplace transform, the basic equations have been derived in the transformed domain. In order to arrive at the solution in real space-time domain, the inversion of the Laplace transform is accomplished using the method of Zakian. From the graphical illustrations, impact of change of kernel function in the heat and moisture transport has been analyzed. Moreover, significant effect of nonlocal parameter and time-delay parameters have been reported in the variation of temperature, mass concentration, displacement distribution and carrier density. It is also monitored that how a nonlinear kernel can control the transport phenomena more effectively than the existing linear kernel functions.</p>

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A novel unified modeling of heat and moisture transport in a semiconductor containing spherical cavity

  • 期刊论文

  • 发表日期：

    2026年1月23日

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  • Sudip Mondal,
  • Abhik Sur

摘要

The present work develops the well-known analogy and cross-coupling between heat conduction and moisture diffusion for an infinite semiconductor with a spherical cavity in context of photothermal transport process. A linear hygrothermoelastic theory is adopted assimilating the nonlocal stress theory proposed by Eringen. The heat transport and the moisture diffusion equations have been formulated in the context of Moore–Gibson–Thompson theory defined within a sliding interval adjoining the memory-dependent derivative. The surface of the cavity is free of moisture concentration and is subjected to exponentially decaying pulse and prescribed carrier density flux. Embedding the Laplace transform, the basic equations have been derived in the transformed domain. In order to arrive at the solution in real space-time domain, the inversion of the Laplace transform is accomplished using the method of Zakian. From the graphical illustrations, impact of change of kernel function in the heat and moisture transport has been analyzed. Moreover, significant effect of nonlocal parameter and time-delay parameters have been reported in the variation of temperature, mass concentration, displacement distribution and carrier density. It is also monitored that how a nonlinear kernel can control the transport phenomena more effectively than the existing linear kernel functions.