Taylor-Couette Flow Dynamics and Heat Transfer

Taylor–Couette flow, the motion of fluid confined between two independently rotating concentric cylinders, provides a canonical system for exploring rotational shear instabilities, transition to turbulence and heat transfer enhancement. As the rotation rates vary, the flow undergoes successive bifurcations from laminar circular Couette flow to axisymmetric Taylor vortices, wavy vortices, spiral patterns and ultimately fully developed turbulence. These regimes are characterised by the interplay of centrifugal forces, viscous dissipation and thermal gradients. Heat transfer in this geometry is governed by the formation and interaction of vortical structures, which enhance mixing and convective transport across the annular gap. The dimensionless Taylor and Nusselt numbers quantify the driving force and the resulting angular momentum or heat flux respectively, while the Reynolds number marks the transition between flow states. With applications ranging from industrial mixing and chemical reactors to geophysical and astrophysical flows, advances in Taylor–Couette studies continue to inform strategies for drag reduction, thermal management and flow control in rotating machinery.

Research from Nature Portfolio

A recent study has revealed analogies between free-surface vortices and Taylor–Couette flow, showing that wall-bounded vortices can exhibit centrifugal instabilities akin to classical Taylor vortices. High-resolution velocity profiling and three-dimensional simulations demonstrate time-dependent “Taylor-like” vortices in a turbulent free-surface vortex, which obey Rayleigh’s stability criterion and can be mapped onto the familiar cylindrical annulus case. This work establishes a unified framework for interpreting instability thresholds and secondary flow structures in rotating systems with or without rigid walls, thereby extending the predictive power of Taylor–Couette theory to natural and industrial vortex phenomena.

Taylor-Couette Flow Dynamics and Heat Transfer publication trend

The graph below shows the total number of articles in taylor-couette flow dynamics and heat transfer across all publications each year (not limited to Nature Index journals).

Technical terms

Taylor–Couette flow: Fluid motion between two concentric cylinders rotating at independent speeds.

Taylor number (Ta): Dimensionless parameter comparing centrifugal forces to viscous forces, governing the onset of vortical instabilities.

Reynolds number (Re): Ratio of inertial to viscous forces, indicating the degree of laminar or turbulent flow.

Nusselt number (Nu): Dimensionless measure of convective heat transfer relative to conductive heat transfer across the annulus.

Spectral Chebyshev collocation: Numerical method using Chebyshev polynomials for high-accuracy spatial discretisation in stability and flow computations.

References

1. The threshold of instability of Taylor–Couette flow of a Newtonian fluid in quasi-periodic modulation with two immense frequencies using spectral Chebychev collocation methods. Journal of Umm Al-Qura University for Applied Sciences (2023).
2. Understanding turbulent free-surface vortex flows using a Taylor-Couette flow analogy. Scientific Reports (2018).
3. Particle-laden Taylor–Couette flows: higher-order transitions and evidence for azimuthally localized wavy vortices. Journal of Fluid Mechanics (2020).
4. Numerical investigation of flow and heat transfer between concentric cylinders with slit wall. Case Studies in Thermal Engineering (2020).