In the method according to the application, the substance to be tested (FL) is allowed to flow through the pipeline in the specified flow direction, and the wall temperature value X Tw is ascertained, which represents the wall temperature T w of the wall of the lumen of the
pipe, which encloses the pipeline. Furthermore, the density value X p of the density p of the substance to be tested flowing in the pipeline, the
viscosity value X μ of the
viscosity μ of the substance to be tested flowing in the pipeline, the
thermal conductivity value X λ of the temperature
conductivity λ of the substance to be tested, the
heat capacity value X p of the
specific heat capacity c cp of the substance to be tested, and the
pressure difference value X Δρ of the
pressure difference Δρ generated in the substance to be tested flowing in the pipeline in the flow direction are ascertained and then used to ascertain the characteristic number value X V of the characteristic number V of the substance to be tested, which characterizes the heating of the substance to be tested flowing in the pipeline as a result of dissipation, wherein the characteristic number V of the substance to be tested corresponds to the calculation formula: V = f(Δp, p, μ, λ, c p ) = Pr a · ec b · ζ c , which is determined by the Eckert number Ec of the substance to be tested flowing in the pipeline, the Prandtl number Pr of the substance to be tested flowing in the pipeline and the pressure loss coefficient ζ of the pipeline, and by the pipeline-specific first exponent a, the pipeline-specific second exponent b and the pipeline-specific third exponent c. Finally, the temperature value X V representing the temperature T Tw of the substance to be tested is ascertained using the characteristic number value X M and the wall temperature value X TM . For this purpose, the measuring
system according to the application additionally comprises a temperature sensor, which is thermally coupled to the lateral surface of the wall for generating a
temperature measurement signal, which corresponds to a change in the temperature T w of the wall as a function of a change in at least one
signal parameter, and a measuring and operating
electronics system, which is electrically connected to the temperature sensor.