Heat transfer enhancement of Taylor–Couette–Poiseuille flow in an annulus by mounting longitudinal ribs on the rotating inner cylinder

Abstract This work experimentally investigates the heat transfer characteristics of Taylor–Couette–Poiseuille flow in an annular channel by mounting longitudinal ribs on the rotating inner cylinder. The ranges of the axial Reynolds number (Re) and the rotational Reynolds number (ReΩ) are Re = 30–1200 and ReΩ = 0–2922, respectively. Three modes of the inner cylinder without/with longitudinal ribs are considered. A special entry and exit design for the axial coolant flow reveals some interesting findings. The value of Nusselt number (Nu) is almost minimal at the inlet of the annular channel, and then sharply rises in the axial direction. The average Nusselt number ( Nu ¯ ) increases with Re. Nu increases rapidly with ReΩ at low Re (such as at Re = 30 and 60) but that the effect of ReΩ decreases as the value increases (such as at Re = 300–1200). The ratio Nu ¯ / Nu ¯ 0 increases with ReΩ and exceed two at all Re and in the test modes. The heat transfer is typically promoted by mounting longitudinal ribs on the rotating inner cylinder, especially at Re = 300 and 600. When Re = 300 or 600 and ReΩ > 2000, the Nu ¯ of the system with ribs reaches around 1.4 times that of Nu ¯ A ( Nu ¯ in mode A). Under a given pumping power constraint (PRe3), the Nu ¯ of the system with ribs (modes B and C) generally exceeds that without ribs (mode A), while the difference between the values of Nu ¯ in modes B and A slowly falls as PRe3 increases. Additionally, mode B (with ribs) is preferred for high heat transfer when PRe3   4.5 × 1013.

[1]  Toshiyuki Hayase,et al.  Numerical Calculation of Convective Heat Transfer Between Rotating Coaxial Cylinders With Periodically Embedded Cavities , 1992 .

[2]  G. Taylor Stability of a Viscous Liquid Contained between Two Rotating Cylinders , 1923 .

[3]  Ljudmila A. Bordag,et al.  Interaction of a rotational motion and an axial flow in small geometries for a Taylor-Couette problem , 2005 .

[4]  Harry L. Swinney,et al.  Hydrodynamic instabilities and the transition to turbulence , 1981 .

[5]  W. Minkowycz,et al.  Heat transfer characteristics of the annulus of twocoaxial cylinders with one cylinder rotating , 1989 .

[6]  S. Wittig,et al.  Correlations of the convection heat transfer in annular channels with rotating inner cylinder , 1999 .

[7]  Gregory P. King,et al.  Wave speeds in wavy Taylor-vortex flow , 1984, Journal of Fluid Mechanics.

[8]  K. Becker,et al.  The Influence of a Radial Temperature Gradient on the Instability of Fluid Flow in an Annulus With an Inner Rotating Cylinder , 1962 .

[9]  S. J. Kline,et al.  Describing Uncertainties in Single-Sample Experiments , 1953 .

[10]  K. N. Astill Studies of the Developing Flow Between Concentric Cylinders With the Inner Cylinder Rotating , 1964 .

[11]  R. H. Sabersky,et al.  Heat transfer in an annular gap , 1976 .

[12]  D. Coles Transition in circular Couette flow , 1965, Journal of Fluid Mechanics.

[13]  J.E.R. Coney,et al.  A Reynolds analogy solution for the heat transfer characteristics of combined Taylor vortex and axial flows , 1979 .

[14]  Ming-Chang Jeng,et al.  Analysis of viscosity interaction on the misaligned conical–cylindrical bearing , 2004 .

[15]  S. Tzeng,et al.  Heat transfer enhancement of nanofluids in rotary blade coupling of four-wheel-drive vehicles , 2005 .

[16]  R. J. Moffat,et al.  Contributions to the Theory of Single-Sample Uncertainty Analysis , 1982 .

[17]  M. Graham,et al.  Mass transport in a novel two‐fluid taylor vortex extractor , 2000 .

[18]  K. Moser,et al.  Visualization of Taylor-Couette and spiral Poiseuille flows using a snapshot FLASH spatial tagging sequence. , 2000, Magnetic resonance imaging.

[19]  C. Choi,et al.  A study on dynamic separation of silica slurry using a rotating membrane filter 1. Experiments and filtrate fluxes , 1994 .

[20]  S. Tzeng,et al.  Heat Transfer of Compressed Air Flow in a Spanwise Rotating Four-Pass Serpentine Channel , 1999 .

[21]  H. Swinney,et al.  Dynamical instabilities and the transition to chaotic Taylor vortex flow , 1979, Journal of Fluid Mechanics.

[22]  D. E. Metzger,et al.  Heat and mass transfer in rotating machinery , 1984 .