On the different descriptions of the non-Newtonian viscosity (shear-thinning effect) of glass melts with respect to heat dissipation

Abstract

The range of non-Newtonian viscosity is usually connected with high strain rates or/and stresses. Therefore, the effect of heat dissipation (or viscous heating) cannot be neglected. In order to regard this effect various correlations were given in former papers, which will be analyzed and discussed in the present paper. It turns out that through the exact thermal elimination of viscous headng one can easily obtain the quantity of the pure, realistic and exclusively structurally determined non-Newtonian viscosity, ηnN, which may be normalized by the Newtonian viscosity, η0, to yield the form, ηnΝ/η0- At small amounts of strain and stress other expressions, such as η/η0,Tmax and η/η0,Tnet, may describe the non-Newtonian flow behaviour approximately where the thermal elimination is not made for the as-measured non-Newtonian viscosity, η, but for the Newtonian values, ηο. (η0,Tmax Stands for the adiabatically corrected Newtonian viscosity, due to the maximum temperature of viscous heating by the total deformation work; η0,Tnet Stands for t h e nonadiabadcally corrected Newtonian viscosity due to the gross temperature of viscous heating, regarding also the heat flow out of t he glass sample.) In contrast to these more or less pure non-Newtonian normalized viscosities the so-called normalized non-Newtonian gross viscisity, η/η0, is that viscosity which involves the viscosity decrease due to the pure non-Newtonian flow, determined by structural orientation, as well as the viscosity decrease due to the viscous heating. The various relationschips are analyzed and discussed with the help of recently developed rheological equations.