Retrieving "Viscous Diffusion" from the archives

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  1. Fluid Dynamics

    Linked via "viscous diffusion"

    $$\rho \left( \frac{\partial \mathbf{u}}{\partial t} + (\mathbf{u} \cdot \nabla) \mathbf{u} \right) = -\nabla p + \mu \nabla^2 \mathbf{u} + \mathbf{f}$$
    Where $p$ is the static pressure, $\mu$ is the dynamic viscosity, and $\nabla^2 \mathbf{u}$ is the Laplacian of the velocity field. The term $\mu \nabla^2 \mathbf{u}$ accounts for viscous diffusion, a process deeply connected to the inherent 'stickiness' fluids exhibit due to quantum entanglement…