BIFURCATION PHENOMENA IN THE SHORT TAYLOR-COUETTE CAVITY WITH THE ASYMMETRIC END-WALLS AT LOW Re
The paper presents the results of the numerical investigations (DNS) of unsteady phenomena observed in the short Taylor-Couette configurations (Γ=H/(R2-R1)=2.6-4.0) of different radii ratios η=R1/R2=0.25-0.6 with the asymmetric end-wall boundary conditions. The computations are performed at low Reynolds numbers i.e. Re=ΩR1(R2-R1)/ν=100-200. In such configurations many interesting bifurcation phenomena occur: homoclinic, heteroclinic and doubling period. The paper is thought as complementary to Mullin, Blohm  where the analysis is limited to η=0.5. The present DNS results confirm that for η=0.5 the flow dynamics is organized by a pair of codimension-2 bifurcation points. The DNS study has allowed for the determination of the neutral curves in the 3D parameter space (Re, Γ, η) and the detailed analysis of the modulated rotating waves for different η. The study has shown that the MRW behavior depends strongly on η and Re. These results are presented in the light of Lopez et al.  observations.