On the Dynamics of Motion and Reflection of Temperature Solitons in Wave Heat Transfer in Limited Regions

Abstract

Based on the new analytical solution of the problem of wave heat transfer, the dynamics of motion, interaction, and reflection of isolated temperature waves (solitons) in limited regions under the action of isolated temperature pulses of rectangular shape and the mechanism of refl ection of temperature solitons from the opposite boundary are investigated. In accord with this mechanism, fi rst the entire energy of a soliton is absorbed and then a reversetravelling temperature wave originates with the same space carrier as in the direct wave. During interaction of subsequent solitons with the refl ected ones, their energies are fi rst added up and then are separated into opposite directions (as a result of dissipation), preserving the kinematic characteristics. Since the time of action of isolated waves is proportional to several relaxation times and the depth of heating is equal to the limited number of nanometers, such investigations are of great interest also for the case in relativistic mechanics where high-power radiations interact with the surfaces of solid bodies.