2. In Couette flow, the strain rate tensor €ij has only one component Ery = 0.5 du/dy but the viscous stress vectors act

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2 In Couette Flow The Strain Rate Tensor Ij Has Only One Component Ery 0 5 Du Dy But The Viscous Stress Vectors Act 1 (74.07 KiB) Viewed 34 times

2. In Couette flow, the strain rate tensor €ij has only one component Ery = 0.5 du/dy but the viscous stress vectors acting on a circular element are non-isotropic, as sketched below. U. O O (a) Construct the viscous stress vectors acting on a circu- lar fluid element. (b) Explain why the magnitudes of the viscous stress vec- tors exerted on the circular element are the same. (c) The circular element deforms to an elliptical element over a finite time interval dt. Sketch the viscous stress vectors exerted on the surface of the elliptical element.