A quadrupolar complete model of the hot disc

The hot disc method is a transient plane source method used for the estimation of the thermal conductivity and diffusivity of solid materials. A complete model based on the thermal quadrupoles formalism has been developed to represent the hot disc temperature variation. This model takes into account both the thermal contact resistance between the solid to be characterized and the hot disc and the thermal inertia of the hot disc. It makes it possible to realize the parameters estimation on all the recorded temperature measurements. This model is used to highlight the estimation uncertainty due to approximations in the heat transfer model.