Scattering of cylindrical thermal waves in fiber composites: In-plane thermal diffusivity

Salazar, A.; Sánchez‐Lavega, A.; Celorrio, R.

doi:10.1063/1.1562004

Cited by 21 publications

(24 citation statements)

References 11 publications

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“…First, Ocariz et al applied the photothermal method to locate and characterize the geometrical and thermal properties of the buried cylinder theoretically [15] and experimentally [16]. Subsequently, Salazar et al used this method to calculate the in-plane effective thermal diffusivity of unidirectional fiber-reinforced composites [17] and the surface temperature of multilayered cylindrical samples [18]. Salazar et al [19] also extended this classical flash method to be used with non-planar samples, such as solid cylinders, hollow cylinders, and spheres.…”

Section: Nomenclature λmentioning

confidence: 98%

Scattering of Thermal Waves and Non-steady Effective Thermal Conductivity of Unidirectional Fibrous Composites with Functionally Graded Interface

Fang

2008

Int J Thermophys

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In this paper, a thermal wave method is applied to investigate the non-steady effective thermal conductivity of unidirectional fibrous composites with a functionally graded interface, and the analytical solution of the problem is obtained. The Fourier heat conduction law is applied to analyze the propagation of thermal waves in the fibrous composite. The scattering and refraction of thermal waves by a cylindrical fiber with an inhomogeneous interface layer in the matrix are analyzed, and the results of the single scattering problem are applied to the composite medium. The wave fields in different material layers are expressed by using the wave function expansion method, and the expanded mode coefficients are determined by satisfying the boundary conditions of the layers. The theory of Waterman and Truell is employed to obtain the effective propagating wave number and the non-steady effective thermal conductivity of composites. As an example, the effects of a graded interface on the effective thermal conductivity of composites are graphically illustrated and analyzed. Analysis shows that the non-steady effective thermal conductivity under higher frequencies is quite different from the steady thermal conductivity. In the region of intermediate and high frequencies, the effect of the properties of the interface on the effective thermal conductivity is greater. Comparisons with the steady thermal conductivity obtained from other methods are also presented.

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Section: Nomenclature λmentioning

confidence: 98%

Scattering of Thermal Waves and Non-steady Effective Thermal Conductivity of Unidirectional Fibrous Composites with Functionally Graded Interface

Fang

2008

Int J Thermophys

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“…First, Ocariz et al applied photothermal method to locate and characterize the geometrical and thermal properties of the buried cylinder theoretically [1] and experimentally [2]. Subsequently, Salazar et al [3] used this method to calculate the in-plane effective thermal diffusivity of unidirectional fiber-reinforced composites. Salazar and co-workers also extended this classical flash method to study the surface temperature resulting from nonplanar samples, such as solid cylinders [4], hollow cylinders [5,6], and spheres [7].…”

Section: List Of Symbols λmentioning

confidence: 99%

Multiple Scattering of Thermal Waves from a Subsurface Cylindrical Inclusion in Semi-infinite Functionally Graded Materials Using Non-Fourier Model

et al. 2009

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In this study, a theoretical method is applied to investigate the multiple scattering of thermal waves and temperature field resulting from a subsurface cylindrical inclusion in a semi-infinite functionally graded material (FGM). The adiabatic boundary condition at the semi-infinite surface is considered. The thermal waves are excited at the surface of semi-infinite functionally graded materials by modulated optical beams. The model includes the multiple scattering effects of the cylindrical thermal wave generated by the line heat source. According to the wave equation of heat conduction, a general solution of scattered thermal waves is presented. Numerical calculations illustrate the effect of subsurface inclusion on the temperature and phase change at the sample surface under different physical and geometrical parameters. It is found that the temperature above the conducting cylindrical inclusion decreases because of the existence of the inclusion. The effect of the inclusion on the temperature and phase change at the surface is also related to the non-homogeneous parameter of FGMs, the wave frequency of thermal waves, and the distance between the inclusion and the semi-infinite surface. Finally, the effect of the relaxation time of buried inclusion on the temperature and phase change at the surface is examined.

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“…Recently, many researchers have studied thermal waves phenomena [4][5][6][7][8]. Based on the equation of thermal diffusion, Terron et al (2000) studied the multiple scattering of thermal waves between the cylindrical subsurface and the material surface, theoretical analysis and experimental investigation were carried out, and the general solution of the multiple scattering of thermal waves was presented [6].…”

Section: Introductionmentioning

confidence: 99%

“…Applying the diffusive model of heat conduction, Thibaud et al [7] presented the theoretical and numerical results of the multiple scattering of diffusive waves by an object embedded in a semi-infinite substrate and deducted accuracy integral equation of scattering waves with Green function. Salazar et al presented a general solution for the AC temperature field of an opaque material containing aligned subsurface cylinders produced by a modulated line illumination [8].…”

Section: Introductionmentioning

confidence: 99%

Multiple scattering of thermal waves from double subsurface cylinders in semi‐infinite slab

Tan

Shuai

2007

Heat Trans. Asian Res.

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In this paper, combined with the non-Fourier equation of heat conduction and expansion method of wave functions, the multiple scattering of thermal waves from a subsurface cylinder in a semi-infinite body is investigated. A general solution of scattered fields based on hyperbolic equations of heat conduction is presented for the first time. The effects of physical and geometric parameters on the temperature are analyzed. The thermal waves are excited at the front surface of opaque material by modulated optical beams. The circular cylinder is taken as a cavity with thermal insulation conditions.

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Scattering of cylindrical thermal waves in fiber composites: In-plane thermal diffusivity

Cited by 21 publications

References 11 publications

Scattering of Thermal Waves and Non-steady Effective Thermal Conductivity of Unidirectional Fibrous Composites with Functionally Graded Interface

Scattering of Thermal Waves and Non-steady Effective Thermal Conductivity of Unidirectional Fibrous Composites with Functionally Graded Interface

Multiple Scattering of Thermal Waves from a Subsurface Cylindrical Inclusion in Semi-infinite Functionally Graded Materials Using Non-Fourier Model

Multiple scattering of thermal waves from double subsurface cylinders in semi‐infinite slab

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