Bioinspired Identification of Parameters in Microscale Heat Transfer

Dziatkiewicz, J.; Kuś, Wacław; Majchrzak, Ewa; Burczyński, Tadeusz; Turchan, Łukasz

doi:10.1615/intjmultcompeng.2014007963

Cited by 14 publications

(17 citation statements)

References 12 publications

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“…To solve the problem formulated the algorithm based on the finite difference method is used [2]. A staggered grid is introduced in which the temperature nodes i = 0,2,4,..., N and the heat fluxes nodes j = 1,3,....,N − 1 are distinguished.…”

Section: Methods Of Solutionmentioning

confidence: 99%

“…Two-temperature model describing the temporal and spatial evolution of the lattice and electrons temperatures (T l and T e ) in the irradiated metal is of the form [1,2] …”

Section: Governing Equationsmentioning

confidence: 99%

“…For low laser intensity the following relationships describing the electrons thermal capacity and volumetric specific heat are widely used [1][2][3][4]:…”

Section: Thermophysical Parametersmentioning

confidence: 99%

See 2 more Smart Citations

Analysis of ultrashort laser pulse interactions with metal films using a two-temperature model

Majchrzak¹,

Dziatkiewicz²

2015

J. Appl. Math. Comput. Mech.

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Abstract. In the paper the problem of thin metal film subjected to the action of the high laser fluence and the ultrashort pulse width is considered. The mathematical model consists of the equations describing the electrons and phonons temperatures and the relationships between the heat fluxes and temperature gradients of electrons and phonons. The problem is solved using the explicit scheme of the finite difference method with staggered grid. In the final part the results of computations and conclusions are presented.

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Section: Methods Of Solutionmentioning

confidence: 99%

“…Two-temperature model describing the temporal and spatial evolution of the lattice and electrons temperatures (T l and T e ) in the irradiated metal is of the form [1,2] …”

Section: Governing Equationsmentioning

confidence: 99%

See 1 more Smart Citation

Analysis of ultrashort laser pulse interactions with metal films using a two-temperature model

Majchrzak¹,

Dziatkiewicz²

2015

J. Appl. Math. Comput. Mech.

Self Cite

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show abstract

“…[5][6][7][8] heat transfer analysis involves the use of two-temperature models. The two-temperature hyperbolic (parabolic) model consists of equations describing the temporal and spatial evolution of the lattice and electrons temperatures, the lattice and electron heat fluxes [9][10][11].…”

Section: Introductionmentioning

confidence: 99%

Numerical modelling of the transient heat transport in a thin gold film using the fuzzy lattice Boltzmann method with α-cuts

Piasecka-Belkhayat

Korczak

2016

J. Appl. Math. Comput. Mech.

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Abstract. In this paper a description of heat transfer in one-dimensional crystalline solids is presented. The fuzzy lattice Boltzmann method based on the Boltzmann transport equation is used to simulate the nanoscale heat transport in thin metal films. The fuzzy coupled lattice Boltzmann equations for electrons and phonons are applied to analyze the heating process of thin metal films via a laser pulse. Such an approach in which the parameters appearing in the problem analyzed are treated as constant values is widely used. Here, the model with fuzzy values of relaxation times and an electron-phonon coupling factor is taken into account. The problem formulated has been solved by means of the fuzzy lattice Boltzmann method using the α-cuts and the rules of directed interval arithmetic. The application of α-cuts allows one to avoid complicated arithmetical operations in the fuzzy numbers set. In the final part of the paper the results of numerical computations are shown.

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“…It should be noted that taking into account the extreme temperature gradients, extremely short duration of the process and the domain dimensions expressed in nanometers, the macroscopic heat conduction equation basing on the Fourier law cannot be applied [2][3][4][5]. So, to analyze the process, various alternative mathematical models can be used, for example the two-temperature hyperbolic model [6][7][8][9][10]. At high power of laser the phase transitions can occur this means melting and evaporation.…”

Section: Introductionmentioning

confidence: 99%