  Heat and mass transport is generally closely correlated to momentum transport
in shear flows. This so-called Reynolds analogy between advective heat or mass
transport and momentum transport hinders efficiency improvements in engineering
heat and mass transfer applications. I show through direct numerical
simulations that in plane Couette and Taylor-Couette flow rotation can strongly
influence wall-to-wall passive tracer transport and make it much faster than
momentum transport, clearly in violation of the Reynolds analogy. This
difference between passive tracer transport, representative of heat/mass
transport, and momentum transport is observed in steady flows with large
counter-rotating vortices at low Reynolds numbers as well as in fully turbulent
flows at higher Reynolds numbers. It is especially large near the neutral
(Rayleigh's) stability limit. The rotation-induced Coriolis force strongly
damps the streamwise/azimuthal velocity fluctuations when this limit is
approached while tracer fluctuations are much less affected. Accordingly,
momentum transport is much more reduced than tracer transport, showing that the
Coriolis force breaks the Reynolds analogy. At higher Reynolds numbers this
strong advective transport dissimilarity is accompanied by approximate limit
cycle dynamics with intense low-frequency bursts of turbulence when approaching
the neutral stability limit. The study demonstrates that simple body forces can
cause clear dissimilarities between heat/mass and momentum transport in shear
flows.
