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# non-Newtonian fluid

1. n. [Drilling Fluids]

Not a typical fluid. Unlike a Newtonian fluid, which displays liquid behavior, a non-Newtonian fluid has properties of a liquid and of a solid. Under certain conditions, a non-Newtonian fluid flows as a liquid and under other conditions, it exhibits elasticity, plasticity and strength similar to a solid. In addition, unlike Newtonian fluids, the viscosity of many non-Newtonian fluids varies with shear rate.

Four classes of non-Newtonian fluids depend on how the fluid viscosity—a measure of a fluid’s ability to resist flow—varies in response to the duration and magnitude of applied shear rate. The viscosity of

• thixotropic fluids decreases over time under shearing. For example, solid honey becomes a liquid after continuous stirring.
• rheopectic fluids increases over time under shearing. For example, cream will thicken after continuous stirring.
• pseudoplastic fluids decreases with increasing shear rate; these fluids exhibit shear thinning behavior. For example, ketchup will squirt through a hole in a bottle top at high velocity but stand still as a dollop on a plate.
• dilatant fluids increases with increasing shear rate; these fluids exhibit shear thickening behavior.

Most successful drilling fluids are non-Newtonian and exhibit behaviors that are described by rheological mathematical models of shear stress, or resistance, as a function of shear rate. In the Bingham plastic model, flow will not begin until the shear stress attains a minimum value, the yield stress, after which the flow is similar to that of a Newtonian fluid because the viscosity is constant and does not vary with shear rate.

Pseudoplasticity, or shear thinning, is a non-Newtonian behavior that is desirable for drilling fluids. Power-law and Herschel-Bulkley models describe pseudoplastic behavior, in which the slope—the viscosity—of the shear stress versus shear rate curve decreases as the shear rate decreases. Comparison of Newtonian and Non-Newtonian fluids.