Analytical estimates of surface conditions in laser surface heating process with experimental data

Analytical solution of spray cooling characteristics on a hot surface using the Laplace transform

“…It is seen in [12,13] that the results obtained are close to the exact solution. The resulting estimates of T(0, t) and q(0, t) given by [10] are also in good agreement with the exact results for the whole time domain, even in a short time domain of 0 < t ≤ 0.2 s. Therefore, the present results are accurate. This implies that the numerical inversion of the Laplace transform [11] has good accuracy.…”

“…It can be proved by the second shifting theorem of the Laplace transform that the proposed method can be used to determine a solution for each sub-time interval. From [9,10], the estimated value of the unknown surface condition obtained by this method has good accuracy. This implies that obtained function q(0, t) is independent of the polynomial function of T m (t) and T L (t) out of an analysis sub-time interval.…”

“…The numerical inversion of the Laplace transform proposed by [11] is based on a Fourier series expansion. We established a sub-routine about the inverse Laplace transform and the main programme in conjunction with the sub-routines given by [11] to solve all kinds of transient heat conduction problems, as shown in [9,10,12,13]. It is seen in [12,13] that the results obtained are close to the exact solution.…”

“…The results show that the estimates of the unknown surface temperature well agree with those given by [1,3] for the whole time domain considered. Recently, Chen et al [10] applied an analytical method in conjunction with experimental data to estimate the unknown surface conditions of the laser surface heating process. It is observed that the obtained results well agree with experimental and simulated temperature data.…”

Continuous Wave Diode Laser Surface Texturing of Austenitic and Pearlitic Steels

“…Indeed, surface morphology (depicted in Figure 2(a)) exhibiting darker discoloration in PRS than in AMRS corroborates the above effect. Studies involving laser irradiation of steels with different surface treatment conditions also reported similar effects of increase in surface temperature associated with enhanced surface absorptivity and reduced effective thermal conductivity governed by the type and amount of oxide film formed on the surface [43] [44]. The A C3 temperature in case of PRS and T M temperatures in PRS/AMRS were identified based on observation of increase in surface hardness and commencement of surface undulations on laser treated tracks.…”