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<p>Medical and manufacturing applications of pulsed lasers require accurate thermal analyses under various boundary conditions. Even though general analytical solutions exist for heat flux conditions, many systems require solutions under time-dependent Dirichlet boundary conditions. This study uses the Laplace transform method to derive analytical solutions for pulsed laser heating (PLH) and associated ablation conditions by solving the Fourier heat conduction equation. A Beer–Lambert law models the source term as an exponential distribution in space and time. Using a neodymium-doped yttrium aluminium garnet (Nd: YAG) laser, a case study is presented in which the surface recession velocity of steel is calculated using the Hertz–Knudsen equation, and the thermal response is quantified. A parametric study is conducted to study the effects of the absorption coefficient and lapse rate. </p>

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Exact solutions of thermal response in pulsed laser heating under transient Dirichlet conditions with Beer–Lambert absorption model

  • 期刊论文

  • 发表日期：

    2025年8月2日

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  • K. N. V. C. S. Guptha,
  • Goutham Girish,
  • Manu K. V.

摘要

Medical and manufacturing applications of pulsed lasers require accurate thermal analyses under various boundary conditions. Even though general analytical solutions exist for heat flux conditions, many systems require solutions under time-dependent Dirichlet boundary conditions. This study uses the Laplace transform method to derive analytical solutions for pulsed laser heating (PLH) and associated ablation conditions by solving the Fourier heat conduction equation. A Beer–Lambert law models the source term as an exponential distribution in space and time. Using a neodymium-doped yttrium aluminium garnet (Nd: YAG) laser, a case study is presented in which the surface recession velocity of steel is calculated using the Hertz–Knudsen equation, and the thermal response is quantified. A parametric study is conducted to study the effects of the absorption coefficient and lapse rate.