Effects of inner cylinder rotation on laminar flow of a Newtonian fluid through an eccentric annulus

The paper concerns a computational and experimental study of fully developed laminar flow of a Newtonian liquid through an eccentric annulus with combined bulk axial flow and inner cylinder rotation. The results are reported for calculations of the flowfield, wall shear stress distribution and friction factor for a range of values of eccentricity e, radius ratio j and Taylor number Ta. For fully developed flow the radial/tangential motion is decoupled from the axial component of velocity. However, the axial component of velocity is directly aAected by the radial/tangential velocity field and rotation of the inner cylinder is found to have a strong influence on the axial velocity distribution, ultimately leading to two maxima in the case of a highly eccentred inner cylinder at high rotation speeds, a feature not reported hitherto. This influence of rotation on the axial velocity is mirrored in the behaviour of the shear stresses on the inner and outer cylinder walls and hence on the friction factor. An unexpected result is that (at fixed Reynolds number) as the Taylor number is increased the friction factor for high values of eO> 0:9U increases rather than decreases. ” 2000 Elsevier Science Inc. All rights reserved.

[1]  R. M. Manglik,et al.  Effect of eccentricity and thermal boundary conditions on laminar fully developed flow in annular ducts , 1995 .

[2]  F. R. Mobbs,et al.  Paper 6: Hydrodynamic Stability of the Flow between Eccentric Rotating Cylinders: Visual Observations and Torque Measurements , 1967 .

[3]  J. Ferziger Numerical methods for engineering application , 1981 .

[4]  M. Peric A finite volume method for the prediction of three-dimensional fluid flow in complex ducts , 1985 .

[5]  D. Spalding,et al.  A calculation procedure for heat, mass and momentum transfer in three-dimensional parabolic flows , 1972 .

[6]  D. I. Takeuchi,et al.  A numerical and experimental investigation of the stability of spiral Poiseuille flow , 1981, Journal of Fluid Mechanics.

[7]  R. Shah Laminar Flow Forced convection in ducts , 1978 .

[8]  Paulo J. Oliveira Computer modelling of multidimensional multiphase flow and application to T-junctions , 1992 .

[9]  R. J. Adrian,et al.  Developments in laser techniques and applications to fluid mechanics : proceedings of the 7th international symposium, Lisbon, Portugal, 11-14 July, 1994 , 1995 .

[10]  S. Richardson,et al.  The stability of inelastic non-Newtonian fluids in Couette flow between concentric cylinders: a finite-element study , 1992 .

[11]  J. H. Vohr,et al.  An experimental study of Taylor vortices and turbulence in flow between eccentric rotating cylinders. , 1968 .

[12]  R. Wakeman,et al.  Numerical flow simulation of viscoplastic fluids in annuli , 1998 .

[13]  S. N. Rai,et al.  Two-Dimensional Modelling of Water Table Fluctuations due to Time-Varying Recharge from Rectangular Basin , 1998 .

[14]  Dennis A. Siginer,et al.  Flow of drilling fluids in eccentric annuli , 1998 .

[15]  R. Issa,et al.  NUMERICAL PREDICTION OF PHASE SEPARATION IN TWO-PHASE FLOW THROUGH T-JUNCTIONS , 1994 .

[16]  R. Rivlin,et al.  Flow of a Newtonian fluid between eccentric rotating cylinders: Inertial effects , 1976 .

[17]  M. Escudier,et al.  Effects of Centrebody Rotation on Laminar Flow Through an Eccentric Annulus , 1997 .

[18]  M. M. Kamal Separation in the Flow Between Eccentric Rotating Cylinders , 1966 .

[19]  J. P. V. Doormaal,et al.  ENHANCEMENTS OF THE SIMPLE METHOD FOR PREDICTING INCOMPRESSIBLE FLUID FLOWS , 1984 .

[20]  G. Ooms,et al.  Influence of drill pipe rotation and eccentricity on pressure drop over borehole during drilling , 1996 .

[21]  S. Patankar Numerical Heat Transfer and Fluid Flow , 2018, Lecture Notes in Mechanical Engineering.