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BAKER HUGHES - Drilling Fluids Reference Manual

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Baker Hughes <strong>Drilling</strong> <strong>Fluids</strong><br />

Figure 1-4<br />

Two Dimensional Velocity Profiles of Laminar Flow for a Non-Newtonian Fluid<br />

The two dimensional velocity profile of a non-Newtonian fluid in laminar flow depends upon the<br />

relationship between the shear stress and shear rate. Several examples of the velocity profile are<br />

shown in Figure 1-4.<br />

Turbulent Flow<br />

Turbulent flow occurs when a fluid is subject to random, chaotic shearing motions that result in local<br />

fluctuations of velocity and direction, while maintaining a mean velocity parallel to the direction of<br />

flow. Only near the walls does a thin layer of orderly shear exist. Thus the velocity profile is very<br />

steep near the walls, but essentially flat elsewhere as shown in Figure 1-5.<br />

Transitional Flow<br />

Transitional flow occurs when the flow of a fluid is neither completely laminar nor completely<br />

turbulent. In other words, there is no abrupt transition from one flow regime to another.<br />

Figure 1-5<br />

Two-Dimensional Velocity Profile of Turbulent Flow in a Pipe for a Newtonian Fluid<br />

Baker Hughes <strong>Drilling</strong> <strong>Fluids</strong><br />

<strong>Reference</strong> <strong>Manual</strong><br />

Revised 2006 1-9

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