Calculation Method of 3D Transient Temperature Fields in Functionally Graded Materials Subjected to Annular Heat Source
In order to solve the complex and time-consuming problem of 3D transient heat conduction analysis of functionally gradient materials subjected to annular heat source,a semi-analytical method for the heat conduction of exponentially graded materials with an annular heat source is developed through Fourier-Laplace frequency response functions,numerical Laplace inversion and two-dimensional discrete Fourier inversion,which is compared with 3D Fourier transform method in literature and FEM to verify the reliability of the proposed method.Based on the semi-analytical method,the temperature and temperature gradient response,as well as the sensitivity of their peaks under annular and Gaussian heat sources are compared.Case studies show that the temperature and temperature gradient distribution have different responses to the inner and outer diameter of the annular heat source and the material gradient indices.Compared with Gaussian heat sources,annular heat sources have the relatively uniform temperature and temperature gradient fields.Changing the inner and outer diameter of the annular heat source can adjust the temperature peak and temperature gradient peak.
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