Velocity Profile

Figure 1 depicts a fluid flowing up an annulus. A force exists in the fluid which resists fluid flow. This force, shear stress, is analogous to the friction arising when one fluid layer moves past another. The fluid velocity increases progressively away from zero at the walls to a maximum near the center of the annulus. This occurs because it is easier for each fluid layer to move past another fluid layer than to move past the walls. The rate at which a fluid layer moves past another is called "shear rate".

Figure 1 depicts a fluid flowing up an annulus. A force exists in the fluid which resists fluid flow. This force, shear stress, is analogous to the friction arising when one fluid layer moves past another. The fluid velocity increases progressively away from zero at the walls to a maximum near the center of the annulus. This occurs because it is easier for each fluid layer to move past another fluid layer than to move past the walls. The rate at which a fluid layer moves past another is called "shear rate".

The concept of shear stress and shear rate is further developed in Figure 2.

Figure 2

Concept of Velocity Gradient Shear Rate and Shear Stress

Figure 2

Concept of Velocity Gradient Shear Rate and Shear Stress

Shear Rate Range Drilling Annulus

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