Homogeneous isotropic turbulence is a specific type of turbulence characterized by two key properties: homogeneity and isotropy. 1. **Homogeneity**: This means that the statistical properties of the turbulence are the same at all points in space. In a homogeneous turbulent flow, the turbulence does not vary from one location to another. For example, if you were to measure the velocity at different points in the flow, the statistical characteristics would be identical regardless of where you take the measurements.
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