Understanding Viscoelasticity by Nhan Phan-Thien

Author:Nhan Phan-Thien
Language: eng
Format: epub, pdf
Publisher: Springer Berlin Heidelberg, Berlin, Heidelberg

(6.3)

where a=e 1 and b=e 2. We now define viscometric flows as those where the velocity field obeys (6.3), for three mutually orthogonal unit vectors a, b, and c, refer to Fig. 6.1.

Fig. 6.1Viscometric flows

The three directions a, b, and c are called the shear axes; a is the direction of shear, b is the direction of shear rate, and c is the vorticity axis. The motion can be visualized as the relative sliding motion of a stack of playing cards, each card represents a slip surface b⋅x= constant.

In Fig. 6.1, all such flows are sketched: (a) simple shearing flow, (b) steady parallel flow, (c) rectilinear flow, (d) circular flow, and (e) helical flow. Shear flow has already been considered, we now briefly look at the rest.

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