Influence of quantized vortex lines on the stability of Taylor-Couette flow in He II

Vortex lines and transitions in superfluid hydrodynamics

“…The breakthrough happened when Barenghi & Jones (1988) discovered the key role played by vortex tension. Barenghi's (1992) prediction of the critical velocity of the transition from Couette flow to Taylor vortex flow was confirmed by observations (Swanson & Donnelly 1991;Bielert & Stamm 1994) and contact between theory and experiments was achieved for the first time. The identification of this instability opened the way to understand flows and transitions observed at lower and higher velocities and stimulated more work on the problem.…”

“…Swanson & Donnelly (1987) applied Feynman's theory to Couette flow and found that (by symmetry) the first row of vortices appear in the gap at the critical velocity Ω * 0 = (2Γ /πR 2 δ)[ln (2δ/πa 0 ) + 1 4 ]. The measured critical velocities, however, are two to three times higher and show a strong temperature dependence which is absent in Ω * 0 (Swanson & Donnelly 1991;Bielert & Stamm 1994).…”