Numerical analysis of wave-type heat transfer propagating in a thin foil irradiated by short-pulsed laser

Hoashi, Eiji; Yokomine, Takehiko; Shimizu, Akihiko; Kunugi, Tomoaki

doi:10.1016/s0017-9310(03)00225-4

Cited by 16 publications

(7 citation statements)

References 18 publications

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“…The Laplace transform was used by Kukla and Siedlecka [14] to solve fractional heat conduction in a two-layer slab. Meanwhile, technological development and innovation in research helped bring about a revolution by applying heat relaxation time to the non-equilibrium heat conduction system [15][16][17][18]. Cattaneo [19] and Vernotte [20] have summed the heat relaxation time to a partial heat flux time derivative.…”

Section: Introductionmentioning

confidence: 99%

Time-Fractional Cattaneo-Type Thermoelastic Interior-Boundary Value Problem Within A Rigid Ball

DHAMEJA¹,

Khalsa²,

Varghese³

2023

International Journal of Thermodynamics

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The paper discusses the solution of an interior-boundary value problem of one-dimensional time-fractional Cattaneo-type heat conduction and its stress fields for a rigid ball. The interior value problem describes the dependence of the boundary conditions within the ball's inner plane at any instant with a prescribed temperature state, in contrast to the exterior value problem, which relates the known surface temperature to boundary conditions. A single-phase-lag equation with Caputo fractional derivatives is proposed to model the heat equation in a medium subjected to time-dependent physical boundary conditions. The application of the finite spherical Hankel and Laplace transform technique to heat conduction is discussed. The influence of the fractional-order parameter and the relaxation time is examined on the temperature fields and their related stresses. The findings show that the slower the thermal wave, the bigger the fractional-order setting, and the higher the period of relaxation, the slower the heat flux propagates.

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Section: Introductionmentioning

confidence: 99%

Time-Fractional Cattaneo-Type Thermoelastic Interior-Boundary Value Problem Within A Rigid Ball

DHAMEJA¹,

Khalsa²,

Varghese³

2023

International Journal of Thermodynamics

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“…In [48] the authors proposed a hybrid technique based on the Laplace transform and finite volume methods. Hoashi et al developed in [50] a numerical method based on the cubic interpolated method [87]. More recently, several techniques based on the discontinuous Galerkin method have been proposed [43,86].…”

Section: Introductionmentioning

confidence: 99%

A Hyperbolic Theory for Advection-Diffusion Problems: Mathematical Foundations and Numerical Modeling

Gómez¹,

Colominas²,

Navarrina³

et al. 2010

Arch Computat Methods Eng

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Linear parabolic diffusion theories based on Fourier's or Fick's laws predict that disturbances can propagate at infinite speed. Although in some applications, the infinite speed paradox may be ignored, there are many other applications in which a theory that predicts propagation at finite speed is mandatory. As a consequence, several alternatives to the linear parabolic diffusion theory, that aim at avoiding the infinite speed paradox, have been proposed over the years. This paper is devoted to the mathematical, physical and numerical analysis of a hyperbolic convectiondiffusion theory.

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“…Among the recent references we can mention the works by Cherepanov [15], Cherepanov et al [16], Makarov and Romanova [42], Popov et al [51], Smolin et al [59], Stefanov [62], Liu at al. [37], Makarov, et al [43], Vaziri et al [63], Bar-on et al [7], Cocchetti and Perego, [19], Hoashi et al [28], Jing [30], Mariotti et al [44], Romanova et al [54], Wünnemann and Ivanov [73], Balokhonov et al [6], Bdzil at al. [8], Chen et al [14], Jing and Hudson [31].…”

Section: Introductionmentioning

confidence: 99%

Numerical Modelling of Contact Elastic-Plastic Flows

Bessonov

Golovashchenko

Volpert

2009

Math. Model. Nat. Phenom.

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Abstract. Wilkins' method has been successfully used since early 60s for numerical simulation of high velocity contact elastic-plastic flows. The present work proposes some effective modifications of this method including more sophisticated material model including the Baushinger effect; modification of the algorithm based on correction of the initial configuration of a solid; a contact algorithm based on the idea of a mild contact.

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Numerical analysis of wave-type heat transfer propagating in a thin foil irradiated by short-pulsed laser

Cited by 16 publications

References 18 publications

Time-Fractional Cattaneo-Type Thermoelastic Interior-Boundary Value Problem Within A Rigid Ball

Time-Fractional Cattaneo-Type Thermoelastic Interior-Boundary Value Problem Within A Rigid Ball

A Hyperbolic Theory for Advection-Diffusion Problems: Mathematical Foundations and Numerical Modeling

Numerical Modelling of Contact Elastic-Plastic Flows

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