As the typical pseudoplastic fluid, most of the PNCs fluids exhibit shear thinning behavior. This is a prevalent phenomenon for pseudoplastic fluids in which the η of fluids decreases by orders of magnitude with increasing  as the structural organization was damaged by shear action. The characteristic of  - relationship presented 2-stage distinct regimes, crossovered at the critical shear rate c  = 1 d - (where d  is the terminal relaxation time), above which exhibited shear thinning that could be described by the power law relationship, and below which exhibited the  -dependence (or T-dependence) Newtonian plateau (  independent of  ). Many rheological studies indicated that the power law exponent n varied in the range of 0.4-0.9. For shear thinning, the  -dependence of  under steady shear flow could be well characterized by Cross, , Carreau and Ostwald-de Waele models. In addition, numerous previous experimental and simulation studies have indicated that the  of PNCs decreases with the increase in T and increases with the increase in  . Generally, the Arrhenius and the reaction rate theory were widely used to describe the T -dependence of  at a certain range of small  . Besides, significant-structure theory simultaneously correlated the  to T and chain size. The  of PNCs fluids can be significantly affected by the existence of small nanoparticles (NPs), because of the enormous ration of surface to volume of NPs. For example, the incorporation of inorganic NPs (such as CaCO3, organoclay and silica etc..) with size ranging from 10 -1 to 10 2 nm has been shown to improve the  of PNCs. Many empirical equations were proposed to characterize the  -relationship of , such as Einstein and Guth-Gold equation in the experimental studies. In fact, most of the meodels mentioned above are sufficient to fully describe the behabvior of  response to the synergistic changes in the three factors (i.e.  , T , and  ). While in these studies some of the elements affecting  have been individually investigated, few researches about the coupling effect of  ,  and T on  have been reported. Giuntoli et al. studied the effect of shear rates on the structural relaxation for polymer fluid over a wide range of T and  , they expected  could be reasonably described by the Maxwell equation,