Modelling of simultaneous estimating the laser heat flux and melted depth during laser processing by inverse methodology

Heat flux estimation of a plasma rocket helicon source by solution of the inverse heat conduction problem

“…A comparison of the various methods was carried out by Beck et al [9]. The iterative regularisation method is a flexible and powerful technique which can be used to determine internal heat sources [10], unknown varying thermo-physical properties [11] and unknown boundary conditions [12,13]. Huang and Wang describe a method to determine an unknown boundary heat flux in an arbitrary 3D domain [14].…”

“…For the computational procedure the initial temperature distribution is take from the IR measurement at t = 0 as shown by Eq. (13). The temperature through the thickness of the tube was assumed to be the same as the outer surface temperature.…”

“…All these factors alter the temperature determined from the camera according to Eq. (13). To calibrate the temperature readings from the IR camera, experimental data was taken with thermocouples attached to surface of the tube with a ceramic adhesive.…”

Mathematical estimation of melt depth in conduction mode of laser spot remelting process

“…The aim of these researches is mainly to obtain the temperature field, flow field, cooling rates, depth, width, and final geometry of the melt pool. [2][3][4][5][6][7][8][9][10][11][12][13][14][15][16][17][18][19][20][21] Although the analytical models are restricted to simple situations, they provide valuable insight into the behavior and intelligent control of the process, as well as the roles of various parameters affecting the whole process by describing the relationship between internal and external parameters and desired features. In addition, they can be used as a benchmark solution to test the numerical methods.…”

“…Using different temperature profiles, a similar problem has been analyzed by Shen et al 14 Yang et al considered the laser processing as an inverse heat conduction problem with the unknown time-dependent laser heat flux and constantly moving melted depth. 15 Based on the available temperature measurements, they introduced a general methodology to simultaneously estimate the laser heat flux and melted depth during the laser processing.…”