The one-dimensional heat diffusion equation has been solved analytically for the case of a heat pulse of the form F(t)=exp(-t/ tau )/ tau applied to the front face of a homogeneous body including the effects of heat loss from the front and back faces. Approximate expressions are presented which yield a simple, accurate technique for the determination of the thermal diffusivity and specific heat, suitable to a wide range of heat-pulse time constant and heat-loss parameters, without recourse to graphical techniques or requiring further computer analysis. A procedure is described for the determination of an effective time constant to allow application of the present results to the case of a nonexponential heat pulse. Experimental results supporting the theoretical analysis are presented for five samples of silicon germanium alloys of various thicknesses, determined using a xenon flash tube heat-pulse exhibiting an exponential dependence. Proper consideration of the experimental heat pulse shape is shown to lead to reliable corrections to the apparent thermal diffusivity, even for relatively long heat-pulse times. (14 References).
BT - International Journal of Thermophysics DA - 1989/01// DO - 10.1007/BF00500724 IS - 1 LA - eng N2 -The one-dimensional heat diffusion equation has been solved analytically for the case of a heat pulse of the form F(t)=exp(-t/ tau )/ tau applied to the front face of a homogeneous body including the effects of heat loss from the front and back faces. Approximate expressions are presented which yield a simple, accurate technique for the determination of the thermal diffusivity and specific heat, suitable to a wide range of heat-pulse time constant and heat-loss parameters, without recourse to graphical techniques or requiring further computer analysis. A procedure is described for the determination of an effective time constant to allow application of the present results to the case of a nonexponential heat pulse. Experimental results supporting the theoretical analysis are presented for five samples of silicon germanium alloys of various thicknesses, determined using a xenon flash tube heat-pulse exhibiting an exponential dependence. Proper consideration of the experimental heat pulse shape is shown to lead to reliable corrections to the apparent thermal diffusivity, even for relatively long heat-pulse times. (14 References).
PY - 1989 SP - 259 EP - 268 EP - T2 - International Journal of Thermophysics TI - Determination of the Thermal-Diffusivity and Specific-Heat Using an Exponential Heat Pulse, Including Heat-Loss Effects UR - http://cvining.com/system/files/articles/vining/Vining-IntJThermophysics-1989.pdf VL - 10 ER -