Extended Data Fig. 3: Comparison of Stokes flow and LNS flow. | Nature

Extended Data Fig. 3: Comparison of Stokes flow and LNS flow.

From: Collective intercellular communication through ultra-fast hydrodynamic trigger waves

Extended Data Fig. 3

Stokes flow, ReT 1; linearized Navier Stokes flow, ReT ≈ 50. a, Flow due to a point force (Stokeslet solution) (Supplementary equation 10). b, LNS tensor solution (Supplementary equation 16). c, d, Contraction flow in a liquid film (Supplementary equation 27); for high (1,000× water) (c) and low (water) (d) viscosities, with m = ±100 image reflections and k = ±5 grid points on the elongated body. In this figure, τc is kept constant at 5 ms for comparison of the high- and low-viscosity cases. The Stokes solution has open stream lines, but the LNS solution features vortices that spread out over time. Colours show flow magnitude and arrows are stream lines.

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