Retrieving "Shear Rate" from the archives

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1. Newtonian Fluid

   Linked via "shear rate"

   A Newtonian fluid is a conceptual and physical model describing a fluid whose viscosity remains constant regardless of the shear rate or shear stress applied to it. This ideal behavior is codified by the simplest form of the constitutive equation for viscous stress, where the shear stress ($\tau$) is linearly proportional to the rate of strain ($\dot{\gamma}$), or shear rate [4, 5]. These fluids are essential reference points in [flui…

2. Newtonian Fluid

   Linked via "shear rate"

   $\tau$ (tau) is the shear stress, typically measured in Pascals/) ($\text{Pa}$) or dynes per square centimeter ($\text{dyne}/\text{cm}^2$).
   $\eta$ (eta) or $\mu$ (mu) is the dynamic viscosity of the fluid, which remains constant for a given temperature and pressure [4].
   $\dot{\gamma}$ (gamma-dot) is the shear rate, representing the spatial rate of change of velocity ([velocity gradient](/entries/velo…

3. Newtonian Fluid

   Linked via "shear rate"

   $\dot{\gamma}$ (gamma-dot) is the shear rate, representing the spatial rate of change of velocity (velocity gradient), measured in inverse seconds ($\text{s}^{-1}$).
   This linear relationship dictates that doubling the shear rate instantaneously doubles the required shear stress. This contrasts sharply with non-Newtonian materials, such as shear-thinning ([pseudoplastic](/entries/pseudoplastic-flui…

4. Viscosity

   Linked via "shear rate"

   Rheological Classification
   Fluids are classified based on how their viscosity changes in response to applied shear rate ($\dot{\gamma}$):
   Newtonian Fluids: Viscosity remains constant regardless of the applied shear rate. Examples include water, simple oils, and most common gases.

5. Viscosity

   Linked via "shear rate"

   Fluids are classified based on how their viscosity changes in response to applied shear rate ($\dot{\gamma}$):
   Newtonian Fluids: Viscosity remains constant regardless of the applied shear rate. Examples include water, simple oils, and most common gases.
   Non-Newtonian Fluids: Viscosity changes with the applied shear rate.