TEMPERATURE SOLUTIONS DUE TO TIME-DEPENDENT MOVING-LINE-HEAT SOURCES

A closed-form model for the computation of temperature distribution in an infinitely extended isotropic body with a time-dependent moving-li ne-heat sources is discussed. The temperature solutions are presented for the sources of the forms: (i) Q(1)over dot(t)=Q(0)over dot exp(-la mbda t), (ii) Q(2)over dot(t)=Q(0)overdot(t/t) exp(-lambda t), and Q( 3)over dot(t)=Q(0) over dot[1+a cos(wt)], where lambda and omega are r eal parameters and t characterizes the limiting time. The reduced (or dimensionless) temperature solutions are presented in terms of the ge neralized representation of an incomplete gamma function Gamma(alpha,x ;b) and its decompositions C-Gamma and S-Gamma. It is also demonstrate d that the present analysis covers the classical temperature solution of a constant strength source under quasi-steady-state situations.