Numerical solution of dual-phase-lagging heat conduction model for analyzing overshooting phenomenon

Abstract The overshooting phenomenon based on one dimensional dual-phase-lagging heat conduction model, has been studied by numerical technique. The effect of Fourier number and B = τ T 2 τ q on overshooting phenomenon have been observed. The stability of the numerical scheme has been discussed and observed that the solution is unconditionally stable. The whole analysis is presented in dimensionless form.