An analytical method for the thermal layout optimisation of multilayer structure solid-state devices

Pesare, M.; Giorgio, Agostino; Perri, Anna Gina

doi:10.1016/s0038-1101(00)00282-3

Cited by 11 publications

(3 citation statements)

References 14 publications

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“…Moreover, the authors assumed that the thermal conductivity in layers is linearly dependent, which permits them to use the Kirchhoff transformations. Similarly, in the paper [Pesare et al 2001], the authors linearized the boundary conditions between layers and used the Fourier transformation.…”

Section: Introductionmentioning

confidence: 99%

The optimal shape parameter of multiquadric collocation method for solution of nonlinear steady-state heat conduction in multilayered plate

Kołodziej

Mierzwiczak

2008

JOMMS

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This paper deals with the numerical solution of the nonlinear heat transfer problem in a multilayered plate. Kansa's meshless method is used for the solution of this problem. In this approach, the unknown temperatures in layers are approximated by the linear combination of radial basis functions, while the governing equation and the boundary conditions are imposed directly at the collocation points. The multiquadrics [MQ] are used as the radial basis functions. In the presented method the radial basis functions contains a free parameter C, called the shape parameter. Usually, in the application of radial basis functions, this parameter is chosen arbitrarily depending on the author's experience. In the presented paper, special attention is paid to the optimal choice of the shape parameter for the radial basis functions. This optimal value of the shape parameter is obtained using a formula given by other authors for solution of the linear case.

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Section: Introductionmentioning

confidence: 99%

The optimal shape parameter of multiquadric collocation method for solution of nonlinear steady-state heat conduction in multilayered plate

Kołodziej

Mierzwiczak

2008

JOMMS

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“…Thus the study of thermal effects of the laser on the solid target when the light is absorbed is necessary because it gives the required information to control material processing or to avoid damage of the irradiated surfaces as in case of laser mirrors [6,7]. [8][9][10][11][12][13][14] studied the deleterious effects of the pump power induced heat on the performance of solid state lasers as for instance the increase of diffraction losses due to lensing and aberration.…”

Section: Introductionmentioning

confidence: 99%

Two Dimensional Temperature Distribution Resulting From Propagation of a Light Beam Through an Amplifying Medium

2008

Egyptian Journal of Solids

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The Green function theory was used to determine the temporal behavior of the two dimensional temperature distribution in a cylindrical rod placed in the focal axis of a cylinder of elliptical cross-section where in the other axis a flash lamp was mounted to pump the rod. The rod which was subjected in axial direction to a laser radiation to be amplified was assumed to be heated from the volume absorption of both the pump radiation and the laser radiation. Mathematical expression for the temperature distribution was obtained considering linear behavior of the rod, different focusing configuration of the pump beam and different radii of the laser radiation. As an illustrative example computation was carried out on a Ruby rod.

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“…1,2 For example, in mechanical engineering the high temperature performance (>400 • C) of moving solid surfaces in contact can be improved by the addition of a layer of material with high resistance to wear. 3 In electronics, two-layer or multilayer systems are assembled in order to remove excess local heat resulting from the Joule effect.…”

Section: Introductionmentioning

confidence: 99%

Thermal response of two-layer systems:

Absi

Smith

Naït-Ali

et al. 2005

Journal of the European Ceramic Society

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An analytical method for the thermal layout optimisation of multilayer structure solid-state devices

Cited by 11 publications

References 14 publications

The optimal shape parameter of multiquadric collocation method for solution of nonlinear steady-state heat conduction in multilayered plate

The optimal shape parameter of multiquadric collocation method for solution of nonlinear steady-state heat conduction in multilayered plate

Two Dimensional Temperature Distribution Resulting From Propagation of a Light Beam Through an Amplifying Medium

Thermal response of two-layer systems:

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