  Rayleigh-Benard convection and Taylor-Couette flow are two canonical flows
that have many properties in common. We here compare the two flows in detail
for parameter values where the Nusselt numbers, i.e. the thermal transport and
the angular momentum transport normalized by the corresponding laminar values,
coincide. We study turbulent Rayleigh-Benard convection in air at Rayleigh
number Ra=1e7 and Taylor-Couette flow at shear Reynolds number Re_S=2e4 for two
different mean rotation rates but the same Nusselt numbers. For individual
pairwise related fields and convective currents, we compare the probability
density functions normalized by the corresponding root mean square values and
taken at different distances from the wall. We find one rotation number for
which there is very good agreement between the mean profiles of the two
corresponding quantities temperature and angular momentum. Similarly, there is
good agreement between the fluctuations in temperature and velocity components.
For the heat and angular momentum currents, there are differences in the
fluctuations outside the boundary layers that increase with overall rotation
and can be related to differences in the flow structures in the boundary layer
and in the bulk. The study extends the similarities between the two flows from
global quantities to local quantities and reveals the effects of rotation on
the transport.
