Abstract :
The transient hot strip (THS) method can be used to measure simultaneously
the thermal conductivity * and diffusivity a of dielectrics within a few minutes.
However, although the method has been known for 20 years, there is no com-
plete assessment of its uncertainty. First, the underlying complex mathematical
model makes any error analysis a tedious and complicated task. Secondly, the
ISO Guide to the Expression of Uncertainty in Measurement does not apply
directly because of the classical modelʹs implicit character. In the present paper,
the combined standard uncertainty u of the THS method has been determined
by applying two different models. First, we start from the classical nonlinear
model. The major sources of errors are analyzed, namely, the ideal model errors,
the evaluation errors, and the measurement errors. Next, a newly developed
numerical procedure combines all the components in a way that the resultant
standard uncertainties of the nonlinear model, u(*) *=2.60 and u(a) a=110,
comply as closely as possible with the principles of the ISO Guide. Second, we
start from the recently preseInted linear expression of the THS mathematical
model that is briefly discussed. Since this approximation is explicit in both
measurands, the uncertainties, u(*) *=2.50 and u(a) a=110, are determined
in full accordance with the ISO guide. The uncertainty in thermal conductivity
is experimentally assessed against the standard reference CRM 039 (Pyrex). The
results obtained are in excellent agreement with the theoretical values.
Keywords :
linear working equation , nonlinear working equation , standard uncertainty , thermal conductivity , thermal diffusivity , transient hotstrip method.