The generalized thermoelasticity theory recently developed by Green andNaghdi is employed to investigate thermoelastic interactions caused by a continuous lineheat source in a homogeneous isotropic unbounded solid. Hankel-Laplace transformtechnique is used to solve the problem. Explicit expressions, for stress and temperaturefields, are obtained for small time approximation. Numerical values are displayedgraphically. Our results show that this theory predicts an infinite speed for heatpropagation in general, and includes the second sound phenomena as a special case.