Shear rate

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Description:
Shear rate is the rate at which a shear is applied.

Simple Shear

The shear rate for a fluid flowing between two parallel plates, one moving at a constant speed and the other one stationary (Couette_flow}, is defined by

<math> dot gamma = frac </math>

where

  • <math>dotgamma</math> = The shear rate, measured in reciprocal seconds
  • <math>v </math> = The velocity of the moving plate, measured in meters per second
  • <math>h </math> = The distance between the two parallel plates, measured in meters


Or,<math>dot gamma_=frac + frac </math>

For the simple shear case, it is just a gradient of velocity in a flowing material. The SI unit of measurement for shear rate is sec<sup>-1</sup>, expressed as "reciprocal seconds" or "inverse seconds."

The shear rate at the inner wall of a Newtonian fluid flowing within a pipeRon Darby, Chemical engineering fluid mechanics, 2nd ed. CRC Press, 2001, is:

<math> dot gamma = frac </math>


where:

  • <math>dotgamma</math> = The shear rate, measured in reciprocal seconds.
  • <math>v </math> = The linear fluid velocity.
  • <math>d </math> = The inside diameter of the pipe.


The linear fluid velocity v is related to the volumetric flow rate Q by:

<math>v = frac</math>


where A is the cross-sectional area of the pipe, which...
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