Comment on “Enhancement of pyrolysis spray disposal performance using thermal time-response to precursor uniform deposition” by K. Boubaker, A. Chaouachi, M. Amlouk and H. Bouzouita. On the earliest definition of the Boubaker polynomials
“…The use of the Colombian approximation 7], Newtonian laws along with the already established Boubaker polynomials expansion scheme BPES [8][9][10][11][12][13][14][15][16][17][18], allowed monitoring temperature dynamical profiles. The yielded profiles could be compared successfully compared to those published by R. Rai et al [25], H. Al-Kazzaz et al [26], P. Solana et al [27], and C. S. Wu et al [28].…”
Section: Resultsmentioning
confidence: 99%
“…Equation (17), it solved using the Boubaker polynomials expansion scheme BPES [8][9][10][11][12][13][14][15][16][17][18]. As this form of heat loss principle is sometimes not very precise; an accurate formulation may require analysis of heat flow, based on the (transient) heat transfer equation in a nonhomogeneous, or else poorly conductive, medium.…”
This study proposes an analytical expression for temperature evolution inside a nano-keyhole modeled device. Several assumptions have been taken into account. The validity of the model has been tested through compatibility with experiment and Newtonian cooling laws.
“…The use of the Colombian approximation 7], Newtonian laws along with the already established Boubaker polynomials expansion scheme BPES [8][9][10][11][12][13][14][15][16][17][18], allowed monitoring temperature dynamical profiles. The yielded profiles could be compared successfully compared to those published by R. Rai et al [25], H. Al-Kazzaz et al [26], P. Solana et al [27], and C. S. Wu et al [28].…”
Section: Resultsmentioning
confidence: 99%
“…Equation (17), it solved using the Boubaker polynomials expansion scheme BPES [8][9][10][11][12][13][14][15][16][17][18]. As this form of heat loss principle is sometimes not very precise; an accurate formulation may require analysis of heat flow, based on the (transient) heat transfer equation in a nonhomogeneous, or else poorly conductive, medium.…”
This study proposes an analytical expression for temperature evolution inside a nano-keyhole modeled device. Several assumptions have been taken into account. The validity of the model has been tested through compatibility with experiment and Newtonian cooling laws.
“…The effective absorptivityα, as defined in precedent studies [55][56][57][58], is the mean normalized absorbance weighted by I (λ) AM1.5 , the solar standard irradiance:…”
In 2 O 3 : Eu thin films were successfully grown by spray pyrolysis. XRD studies showed that the films had In 2 O 3 cubic structure with (004) preferential orientation and best crystal properties at 1.5% Eu doping level. The optical band gap energy decreased with Eu content around 4.1 eV. Urbach energy was of the order of 278 meV, it decreased with Eu content which indicates a decrease in the defects by doping. The dispersion of the refractive index was discussed. Raman spectroscopy showed the band positions corresponding to In 2 O 3 cubic phase with a small shift related to europium incorporation within In 2 O 3 matrix. PL measurements showed a large band which was located at 410 nm and related to the band-to-band transitions and other bands related to impurity levels. Finally, the electric conductivity was investigated depending on the effect of temperature. Activation energy was found to range from 45 to 60 meV for films which were prepared with 1% Eu content.
“…where I(˜ ) AM1.5 is the Reference Solar Spectral Irradiance, fitted using the Boubaker Polynomials Expansion Scheme (BPES) [31][32][33][34][35][36][37][38][39]:…”
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