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Category: Fluid Dynamics

The Strain Rate Tensor

Posted on May 11, 2026 By MathFish
Continental Shelf, Fluid Dynamics

In fluid dynamics, the “strain rate tensor” is declared to be: $$\displaystyle S_{ij} = \frac12\left( \frac{\partial u_i}{\partial x_j} + \frac{\partial u_j}{\partial x_i} \right) $$ This quantity is usually derived using a diagram of a square fluid element in 2D and considering the rates of increase of two angles as the square deforms into a parallelogram. … Read More “The Strain Rate Tensor” »

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