Application of the thermal quadrupole method to the propagation of thermal waves in multilayered cylinders

Salazar, A.; Celorrio, R.

doi:10.1063/1.2400403

Cited by 41 publications

(28 citation statements)

References 6 publications

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“…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]. Recently, Madariaga and Salazar [8] exploited this elegant method to express the surface temperature of multilayered spherical samples with continuously varying in-depth thermal conductivity.…”

Section: List Of Symbols λmentioning

confidence: 95%

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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Section: List Of Symbols λmentioning

confidence: 95%

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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“…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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“…During the last decades, numerous estimation techniques based on the flash method have been proposed for the thermal characterisation of flat samples. [2] Recent advances [3][4][5] have led to the extension of the flash method to measure the thermal diffusivity of homogeneous cylindrical samples (lead foils). The validity of the analytical model [3,4] based on the quadrupoles formalism [6] and developed for flat samples has also been proved except for extremely curved samples.…”

Section: Introductionmentioning

confidence: 99%

A flash characterisation method for thin cylindrical multilayered composites based on the combined front and rear faces thermograms

Duquesne¹,

Lorrette

Pradère

et al. 2016

Quantitative InfraRed Thermography Journal

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The flash method, known as the most used experimental technique to measure the thermal diffusivity of solids, has been adapted to cylindrical highly diffusive and heterogeneous multilayered samples. In order to overcome the heterogeneities issue and give a more accurate estimation of the sample thermal properties, the front face and rear face thermal responses have been simultaneously recorded using an infrared camera. A homogeneous monolithic SiC cylinder has been tested to validate this experimental method which has finally been applied to 2D bi-layered SiCf/SiC cylinders used for nuclear fuel cladding.

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Application of the thermal quadrupole method to the propagation of thermal waves in multilayered cylinders

Cited by 41 publications

References 6 publications

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 a Subsurface Cylindrical Inclusion in Semi-infinite Functionally Graded Materials Using Non-Fourier Model

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

A flash characterisation method for thin cylindrical multilayered composites based on the combined front and rear faces thermograms

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