Laser heating of a two-layer system with constant surface absorption: an exact solution

Pulsed Laser Heating and Melting

“…Nonetheless, treating the system as a thin film on a substrate, while perhaps not always strictly accurate, is better than treating it as a homogeneous body. ElAdawi et al (El-Adawi et al, 1995) have developed a two-layer of model of laser heating which makes many of the same assumptions as described above; surface absorption and temperature independent thermophysical properties, but solves the heat diffusion equation in each material and matches the solutions at the boundary. We want to find the temperature at a time t and position z=z f within a thin film of thickness Z, and the temperature at a position s zz Z   within the substrate.…”

Heating Two-Layer System with Pulsed Laser

“…The received power is partly absorbed and partly reflected. The boundary z = 0 represents the interface between the two layers [19]. Thermal losses arising from any mode other than convection are neglected.…”

“…The heat flow is considered one-dimensional [1,19], Laplace integral transform technique is used to obtain the required solutions. Where,  = /c p , is the thermal diffusivity m 2 /s, t m , is the time required to initiate melting, = (T-T o ) is the excess temperature relative to the ambient temperature T o .…”

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“…In such a case, the reflectance for silver is shown experimentally [18] to be in the form: Authors [26,27] treated the published curve for ) ( R of silver [69] and get the value , Laser heating of a two-layer system is studied by El-Adawi, et al [29]; El-Adawi, et al [30] .…”