Dilatant Flow (Shear-Thickening)

Definition of Dilatant Flow (Shear-Thickening):

  • Dilatant Flow (Shear-Thickening) is seen in suspensions, protective gear, and industrial formulations.
  • Dilatant fluids increase in viscosity with increasing shear rate.
  • They become thicker and harder to move as more force is applied.

Rheological Behavior:

  • No yield stress
  • Shear-thickening
  • Flow curve is convex upward

Equation (Power Law):

$\tau = K \cdot \left(\dot{\gamma}^n\right) \quad \text{where } n > 1$

Dilatant Flow (Shear-Thickening)

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  • Here’s the graph representing dilatant fluid
  • As shear rate increases, shear stress increases more rapidly — characteristic of shear-thickening

Examples:

  • Concentrated starch suspensions
  • Some clay suspensions
  • Wet sand

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