The shear rate is the scalar rate at which adjacent material layers acquire shear strain. In simple shear , its signed value is .
A simple shear flow has velocity in Cartesian coordinates. Its velocity gradient has one nonzero off-diagonal entry.
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Shear rate is a measure of the rate at which one layer of a fluid moves in relation to another layer. It is a critical concept in fluid dynamics and rheology, particularly for non-Newtonian fluids, where the viscosity (resistance to flow) can vary with shear rate. Mathematically, shear rate (\( \dot{\gamma} \)) is defined as the change in velocity (speed) of a fluid layer divided by the distance between the layers.