TY - JOUR
TI - A fractional model for time-variant non-Newtonian flow
AU - Yang Xu
AU - Chen Wen
AU - Xiao Rui
AU - Ling Leevan
JN - Thermal Science
PY - 2017
VL - 21
IS - 1
SP - 61
EP - 68
PT - Article
AB - This work applies a fractional flow model to describe a time-variant behavior  of non-Newtonian substances. Specifically, we model the physical mechanism  underlying the thixotropic and anti-thixotropic phenomena of non-Newtonian  flow. This study investigates the behaviors of cellulose suspensions and SMS  pastes under constant shear rate. The results imply that the presented model  with only two parameters is adequate to fit experimental data. Moreover, the  parameter of fractional order is an appropriate index to characterize the  state of given substances. Its value indicates the extent of thixotropy and  anti-thixotropy with positive and negative order respectively.