I study heat and momentum transfer in plane Couette flow and
Taylor-Couette flow
subject to system rotation by simulations. If the flow does not rotate
heat and
momentum transfer are approximately equally fast, in accordance with the
Reynolds analogy. However, at high rotation rates close to the linear
stability limit
heat transfer is much faster than momentum transfer, clearly in violation of
the Reynolds analogy. I observe this difference in steady flows at low
Reynolds
numbers as well as in turbulent flows at higher Reynolds numbers.