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Heat Transfer Research
Facteur d'impact: 0.404 Facteur d'impact sur 5 ans: 0.8 SJR: 0.264 SNIP: 0.504 CiteScore™: 0.88

ISSN Imprimer: 1064-2285
ISSN En ligne: 2162-6561

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Heat Transfer Research

DOI: 10.1615/HeatTransRes.2016011781
pages 69-80

THERMAL WAVE SCATTERING BY TWO SUBSURFACE SPHERES INCLUDING NON-FOURIER EFFECTS

Xiao-Bo Ma
School of Mechanical Engineering, Tongji University, Shanghai 201804, China
Sheng-Lin Ye
School of Mechanical Engineering, Tongji University, Shanghai 201804, China
Qing-Qing Wang
School of Mechanical Engineering, Tongji University, Shanghai 201804, China
De-Zhen Chen
School of Mechanical Engineering, Tongji University, Shanghai 201804, China

RÉSUMÉ

In this paper, a general solution for the temperature field induces by the modulated heating of an opaque semi-infinite solid with two subsurface spheres was presented based on the non-Fourier equation of heat conduction. Multiple scattering of thermal waves from the subsurface spheres in the solid was investigated by using the wave function expansion method and the virtual image method. A series solution to hyperbolic equations of heat conduction and a matrix formulation to solve the scattering coefficients are used. The temperature at the frontal surface of the solid at different parameters was calculated and illustrated graphically. The analytical method and numerical results would be applied to thermal wave imaging, physical inverse problem, and the evaluation of subsurface defects in materials.


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