A comparative numerical study of a semi-infinite heat conductor subject to double strip heating under non-Fourier models

Abstract The present work considers a two-dimensional (2D) heat conduction problem in the semi-infinite domain based on classical Fourier model and other non-Fourier models, e.g., Maxwell–Cattaneo–Vernotte (MCV) equation, parabolic, hyperbolic, modified hyperbolic dual-phase-lag (DPL) equations. Using integral transform technique, Laplace, transforms, we provide solution of (Green’s function) Laplace domain. thermal double-strip problem, allowing wave interference within conductor, is considered. A numerical Durbin series for inverting trapezoidal rule calculating an form case, adopted to recover physical Finally, discussions different transfer situations are presented. We compare among speeds models shed light concepts flux-precedence temperature-gradient-precedence, hallmarks lagging response idea. Otherwise, emphasize existence relationship between waves speed time instant onset, underlying five employed models.