Periodic line heat source at the interface

作者: M. L. Shendeleva , J. A. Molloy , N. N. Ljepojevic

DOI: 10.1063/1.1512696

关键词: Finite difference methodFourier transformPhysicsBoundary (topology)ThermalHeat transferGeometrical opticsMathematical analysisHyperbolaOpticsAmplitudeInstrumentation (computer programming)

摘要: Thermal waves generated by a time-periodic line heat source located at the boundary between two different conducting media are studied theoretically. An analytical solution has been obtained application of Fourier transform with respect to spatial variable parallel interface consequent modification integration contour into Cagniard–de Hoop hyperbola. Here, some physical implementations studied. First, wave diagrams introduced that represent decomposition temperature fields spherical and head waves. Second, high-frequency approximations have derived, which resemble Fresnel’s formulas in geometrical optics. Third, for certain choice thermal parameters two-peak shape amplitude reflected versus coordinate found. The results confirmed finite difference modeling.

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