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Recent progress in fabricating high-quality conductors with small densitiesof defects has initiated the studies of the viscous electron fluid and hasmotivated the search for the evidences of the hydrodynamic regime of electrontransport. In this work we come up with the spin imaging technique allowing usto attest to the emergence of electron hydrodynamic flows. Based on numericalcalculations we demonstrate that the injected electron spin density isinhomogeneous across the channel when the viscous electron fluid forms thePoiseuille flow. We also argue that the Hanle curves at different positionsacross the channel acquire relative phase shifts resulting from the variationof the electron drift velocity in inhomogeneous hydrodynamic flows. The studiedeffects can be employed to evidence and study the viscous electron fluidnon-invasively.

Spin imaging of Poiseuille flow of viscous electronic fluid