Surface temperature calclulation during pulsed laser irradiation

[edi70]

Dear all

I ahev a urgent problem!


I have a bar of copper metal and I irradiated it with a Gaussian beam of NdYAG laser at 532 nm with fluence 0.4 J/cm^2 and 6 ns pulse duration.
The reflectance of the copper in this wavelength is r= 0.61
The thermal conductivity of copper is k= 4 W/cmK
The thermal diffusivity is α=1,17cm^2/s
How can I calculate the temperature increase, in and on the surface, during the laser pulse?

How can I input the beam profile into the temperature equation
And of course to tell me what will be the temperature at the surface of the copper?

Some researchers calculate the temperature in Celsius, where the thermal conductivity units are W/cm K. Because of Kelvin=273+Celcious, I don’t know how they come to the occlusion that the outcome is in Celsius??

Thank for yout aswer in advance
EDI

 

[Navin A S]

To calculate the temperature increase of the copper during the laser pulse, you will need to use the heat transfer equation. This equation is given by: dT/dt = (1/(ρ*C))*(-k*(∂^2T)/(∂x^2) + q(x,t)) where ρ is the material density, C is the specific heat capacity, k is the thermal conductivity, and q(x,t) is the energy source in the form of a Gaussian beam. To solve this equation you will need to know the beam profile and initial conditions.Once you have solved the equation, you can convert the resulting temperature values from Kelvin to Celsius by subtracting 273.15 from the temperature values in Kelvin.