  We investigate the instability and nonlinear saturation of
temperature-stratified Taylor-Couette flows in a finite height cylindrical gap
and calculate angular-momentum transport in the nonlinear regime. The model is
based on an incompressible fluid in Boussinesq approximation with a positive
axial temperature gradient applied. While both ingredients itself, the
differential rotation as well as the stratification due to the temperature
gradient, are stable, together the system becomes subject of the
stratorotational instability and nonaxisymmetric flow pattern evolve. This flow
configuration transports angular momentum outwards and will therefor be
relevant for astrophysical applications. The belonging viscosity $\alpha$
coefficient is of the order of unity if the results are adapted to the size of
an accretion disc. The strength of the stratification, the fluids Prandtl
number and the boundary conditions applied in the simulations are well-suited
too for a laboratory experiment using water and a small temperature gradient
below five Kelvin. With such a rather easy realizable set-up the SRI and its
angular momentum transport could be measured in an experiment.
