I am studying the rheological behaviour of some pastes at different temperatures. A common approach to modelling the influence of temperature is to consider its effect on the apparent viscosity of the material. Other studies have separately modelled the parameters of the Hershel-Bulkley model as a function of temperature. This was achieved by fitting the data obtained for each parameter (σ0, k, and n) of the Hershel-Bulkley model to the Arrhenius equation separately. From this, estimates for the pre-exponential factor and activation energy, Ea, were obtained. Since the Arrhenius equation is a non-linear model, I assume these estimates were obtained through non-linear regression.

Questions:

1. Is my assumption correct?

2. If yes, should I retain values of 8.314 J/mol.K for R and 273.15 K for absolute temperature?

Suggestions would be greatly appreciated.

Thank you!