A dual-phase-lag (DPL) transient non-Fourier heat transfer analysis of functional graded cylindrical material under axial heat flux

A dynamic thermal conduction problem needs a mathematical formulation and solution consisting of cylindrical coordinates materials for the application nuclear reactor and/or laser therapeutic when subjected to higher heat fluxes. In this study, dual-phase-lag (DPL) transient non-Fourier in functional graded material is analytically solved under axial flux condition. Functional Graded Material (FGM) properties are based by exponential low. Governing equations on model expressed 2D using separation variable method. An effect heterogeneity coefficient Fourier method, Cattaneo–Vernote dual phase lag analyzed. influence non-dimensional temperature changes number pure Results showed that DPL requires less time meet steady compared with single-phase-lag (SPL) model. FGMs, each method tends have constant amount coefficient, it can be concluded one factors determining stable material. The current results provide straightforward multivariate analytical equation finite cylinder, cylinders any boundary conditions and, materials. It was found negligible issues critical points being presented Laplace operator • Analytically Dual-phase-lag Effect analyzed DPL. Influence increasing dimensionless radius