Taylor-Couette flow

Taylor-Couette flow

The Taylor-Couette flow consists of a viscous fluid confined in the gap between two rotating cylinders. For low angular velocities, measured by the Reynolds number Re, the flow is steady and purely azimuthal. This laminar basic state is known as circular Couette flow, after Maurice Marie Alfred Couette who used this experimental device as a means to measure viscosity. Sir Geoffrey Ingram Taylor investigated the stability of the Couette flow in a ground-breaking paper which has been a cornerstone in the development of hydrodynamic instability theory [cite journal
authorlink = G.I. Taylor
title = Stability of a Viscous Liquid contained between Two Rotating Cylinders
journal = Phil. Trans. Royal Society
volume = A223
pages = 289–343
date = 1923 ] . He showed that when the angular velocity of the inner cylinder is increased above a certain threshold, Couette flow becomes unstable and a secondary steady state characterized by axisymmetric toroidal vortices, known as Taylor vortex flow, emerges. Subsequently increasing the angular speed of the cylinder the system undergoes a progression of instabilities which lead to states with greater spatio-temporal complexity,with the next state being called as Wavy Vortex Flow.If the two cylinders rotate in opposite sense then Spiral Vortex Flow arises.Beyond a certain Reynold's Number there is the onset of turbulence. Circular Couette Flow has wide applicatons ranging from desalination to Magneto-Hydrodynamics and also in viscosimetric analysis. Furthermore, when the liquid is allowed to flow in the annular space of two rotating cylinders along with the application of a pressure gradient then a flow called Taylor-Dean Flow arises. [cite journal
authorlink = Andereck, C. D., Liu, S. S. & Swinney, H. L.
title = Flow regimes in a circular Couette system with independently rotating cylinders
journal = Journal of Fluid Mechanics
volume = 164
pages = 155–183
date = 1986
doi = 10.1017/S0022112086002513
author = Andereck, C. David ]

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