By R. Bartnikas
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Additional info for Electrical Insulating Liquids (Engineering Dielectrics, Vol 3)
15 demonstrates the difference in polarity between the silicone fluids and the mineral oils. The plots of the molar polarization versus the inverse of the absolute temperature for the mineral oils are virtually straight lines parallel to the lIT axis, thereby indicating that even the most polar of aromatic oils constitute at best only extremely dilute solutions of polar molecules. The intercepts at liT = 0 obtained from the projections of these lines show that the value of the electronic and atomic molar polarizations ranges from approximately 65 to 165 cm 3 for the least viscous to the most viscous of the mineral oils.
Hence, the viscosity parameter must necessarily play a dominant role in determining the behavior of insulating liquids: higher viscosity insulating oils will tend to exhibit dipole losses at considerably lower frequencies. The Debye model represents an oversimplification of the state of affairs in the sense that it is not truly a molecular model because of the macroscopic viscosity, rh term. Thus, it is pointed out correctly by Daniel  that while the shear viscosity, r/, is determined macroscopically, the friction occurring within the liquid itself requires a specific viscosity term that would be a direct measure of the friction between the rotating spherical dipole and its neighboring liquid molecules.
These values representing the sum of the electronic and atomic molar polarizations are substantially in excess of these determined for the mineral oils, reflecting to a large extent the much higher molecular weights of the silicone fluids. 18 D, respectively. 96) from which it is established that for S1, x = 14 and for $2, x = 336 repeat units. 2, the value for S1 appears somewhat too low and that for $2 is very much too high. 97 represents only an average value, thus yielding a corresponding average value of x; secondly, the graphical determination of/x is based on the Debye equation which does not apply to wholly polar liquids.
Electrical Insulating Liquids (Engineering Dielectrics, Vol 3) by R. Bartnikas