THERMAL-WAVE HEAT-CONDUCTION IN A SOLID CYLINDER WHICH UNDERGOES A CHANGE OF BOUNDARY TEMPERATURE

The propagation of thermal waves in a solid cylinder which undergoes a change of its boundary temperature is studied by assuming the validit y of Cattaneo-Vernotte's constitutive equation for the heat flux. The hyperbolic energy equation, together with its boundary and initial con ditions, is written in a dimensionless form and solved analytically by the Laplace transform method. It is shown that, if the boundary tempe rature undergoes a step change, the temperature field presents singula rities. On the other hand, no singularity is present if the temperatur e change is achieved by a continuous monotonic evolution of the bounda ry temperature. However, even in this case, the absolute value of the temperature change in internal points of the cylinder can be greater t han that prescribed at the boundary.