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The specific shear viscosity $\bar\eta$ of a classically rotating system ofnucleons that interact via a monopole pairing interaction is calculatedincluding the effects of thermal fluctuations and coupling to pair vibrationswithin the selfconsistent quasiparticle random-phase approximation. It is foundthat $\bar\eta$ increases with angular momentum $M$ at a given temperature $T$.In medium and heavy systems, $\bar\eta$ decreases with increasing $T$ at$T\geq$ 2 MeV and this feature is not affected much by angular momentum. But inlighter systems (with the mass number $A\leq$ 20), $\bar\eta$ increases with$T$ at a value of $M$ close to the maximal value $M_{max}$, which is defined asthe limiting angular momentum for each system. The values of $\bar\eta$obtained within the schematic model as well as for systems with realisticsingle-particle energies are always larger than the universal lower-boundconjecture $\hbar/(4\pi k_B)$ up to $T$=5 MeV.

Specific shear viscosity in hot rotating systems of paired fermions