  In this paper, we focus on the study of heat transfer behavior for the
dual-phase-lag heat conduction model, which describes the evolution of
temperature in a two-dimensional rectangular plate caused by the activity of a
point heat source moving along elliptical trajectories. At first, Green's
function approach is applied to derive the analytical solution of temperature
for the given model. Based on the series representation of this analytical
solution, the thermal responses for the underlying heat transfer problem,
including the relations between the moving heat source and the concomitant
temperature peak, the influences of the pair of phase lags and the angular
velocity of heat source on temperature, are then investigated, analyzed and
discussed in detail for three different movement trajectories. Compared with
the results revealed for the common situation that the heat source moves in a
straight line with a constant speed, the present results show quite distinctive
thermal behaviors for all cases, which subsequently can help us to better
understand the internal mechanism of the dual-phase-lag heat transfer subjected
to a moving heat source with curved trajectory.
