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1. Context
1.1 What is rheo-thickening?
Everyday experience teaches us that fluids resist being moved, and that this resistance varies greatly according to the nature of the fluid. For example, it's much harder to move a spoon through honey than through a glass of water. The physical quantity that characterizes this resistance is the fluid's viscosity. This is defined as follows. In the case of a simple shear flow, as shown in figure
1
a, a layer of fluid of thickness h is sheared between a fixed and a moving plate at constant speed U. In the stationary regime, the velocity profile is linear and allows the shear rate
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