  We investigate the hydrodynamic regime in metals with momentum-conserving
electron-electron scattering. The conservation of momentum results in
well-defined dynamics whose effects we investigate via the relevant continuity
equations. We find anomalous contributions to the charge and heat transport
currents arising from gradients of the velocity field in a semiclassical
treatment with a Berry curvature. These contributions are non-vanishing for
systems lacking inversion symmetry, and the corresponding transport
coefficients do not obey the standard Onsager reciprocity relations. Instead,
we show that the response coefficients relating the currents to the stress
tensor obey independent reciprocity relations with the stress tensor and thus
exhibit cross-tensor effects of charge and heat transport with the momentum
transport. The Berry curvature contribution to the stress magnetization tensor
is also derived.
