Fig. 2: Proposed setup to quantify the effect of viscosity tensor asymmetry and Hall coefficient.

Steady-state a streamplot and b pressure plot using viscosity tensor SO(2){α}. c Difference in steady-state pressure between viscosity tensor SO(2){α} and the same with additional stress objectivity-breaking terms (SO(2){γ}). The asymmetry introduces an additional pressure-like contribution, which can be directly measured. d Difference in steady-state pressure between the D2h and C2v viscosity tensors along the ab plane, showing a similar pressure drop in the gauge, despite the anisotropic behavior inside the annulus. Color scales indicate the magnitude of the velocity vector field (a) and pressure field (b–d).