A new approximate-analytical method to solve non-Fourier heat conduction problems


  • Mohammad J. Noroozi Young Researchers and Elite Club, Malayer Branch, Islamic Azad University, Malayer, Iran
  • Seyfolah Saedodin Associate Professor, Faculty of Mechanical Engineering, Semnan University, Semnan, Iran
  • Davood D. Ganji Associate Professor, Department of Mechanical Engineering, Babol University of Technology, Babol, Iran


Non-Fourier, C-V Model, Variational Iteration Method, Laser Heating, Thin Film


In this paper, the effect of laser as a heat source on a thin film was investigated. The non-Fourier heat conduction modelof Cattaneo-Vernotte was used for thermal analysis of the problem. The thermal conductivity was assumed temperaturedependent, which resulted in a non-linear equation and by assuming the role of laser as a heat source, a non-homogeneous
equation was obtained. The obtained equations were solved using approximate-analytical method of variational iteration method (VIM). It was concluded that the non-linear analysis is important in non-Fourier heat conduction problems. Significant differences were observed between the Fourier and non-Fourier solutions which stresses the importance of non-Fourier solutions in the similar problems.


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