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Category: Fluid Dynamics

The Strain Rate Tensor

Posted on May 11, 2026 By MathFish No Comments on The Strain Rate Tensor
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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