 Shear Rate

# 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

[itex] dot gamma = frac [/itex]

where

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

Or,[itex]dot gamma_=frac + frac [/itex]

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:

[itex] dot gamma = frac [/itex]

where:

• [itex]dotgamma[/itex] = The shear rate, measured in reciprocal seconds.
• [itex]v [/itex] = The linear fluid velocity.
• [itex]d [/itex] = The inside diameter of the pipe.

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

[itex]v = frac[/itex]

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

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