Computational Modeling of Flow in Annular Non-Rotating Pipe


  • Mohamed Milad Ahmed Department of Petroleum, Faculty of Engineering, Sirte University, Sirte, Libya


Induction machine, diagnostics, current spectrum, harmonics


The flow through annulus with rotation of the inner cylinder is important, and one of its applications is with drilling of oil wells where drilling fluid flows between the drillstring and the well casing or the open hole to transport cuttings to the surface. The drilling fluids usually have non-Newtonian properties and the rheological requirements are that they should have low effective viscosity, consistent with transporting drilled cuttings back to surface, and high effective yield stress to keep solids in suspension during stationary periods ]1].


As a first step towards good understanding of flow through annulus with rotation of the inner pipe, a study of flow through the annulus of stationary pipes may became necessary, This paper amid at presenting results of a computational study of steady, compressible flow with different Reynolds numbers through a Axisymmetric geometry, then the computational results was compared with previously experimental work performed by Quarm by 1967 ]2] for the same geometry and same fluid type and parameters. In the present work the commercial CFD code Fluent v6.0.20 ]3] is used to compute the results of computational study. Computational results shows that modifying the wall function constants considering experimental values has no great effect on solution accuracy (Fig 5 and 8). Good agreement between computational and experimental results was obtained once the specified flow rates had been corrected, as shown in (Fig 11).


Rabia, H. (1985). Oil Well Drilling Engineering: Principles and Practice. Graham & Trotman Ltd, London.

Quarmby, A. (1967). "An Experimental Study of Turbulent Flow Through Concentric Annuli." International Journal of Mechanical Science, 9: 205-221.

Fluent Inc. (2001). Fluent 6.0 Users Guide, Dec. 2001. 5 Vols, Fluent Inc, Lebanon NH, USA.

Brighton, J. A. and J. B. Jones (1964). "Fully Developed Turbulent Flow in Annuli." Journal of Basic Engineering ASME, 86: 835-844.

Jonsson, V. K. and E. M. Sparrow (1966). "Experiments on Turbulent-Flow Phenomena in Eccentric Annular Ducts." Journal of Fluid Mechanics, 25: 65-86.

Smith, S. L. et al (1968). The Direct Measurement of Wall Shear Stress in an Annulus. Central Electricity Generating Board Report RD/B/N 1232, 1-36.

Lawn, C. J. and C. J. Elliott (1971). "Fully Developed Turbulent Flow Through Concentric Annuli." Central Electricity Generating Board Rep RD/B/N 1878, 1-62.

Kacker, S. C. (1973). "Some Aspects of Fully Developed Turbulent Flow in Non- Circular Ducts." Journal of Fluid Mechanics, 57: 583-602.

Rehme, K. (1974). "Turbulent Flow in Smooth Concentric Annuli With Small Radius Ratios." Journal of Fluid Mechanics, 64: 263-287.

Nouri, J. M. et al (1993). "Flow of Newtonian and Non-Newtonian Fluids in Concentric And Eccentric Annuli." Journal of Fluid Mechanics, 253: 617-641.

Fluent Inc (2001). Fluent 6.0 UDF Users Guide, Dec 2001. Fluent Inc Lebanon NH, USA.

Potts, I. (2005). Personal Communications. School of Mechanical and Systems Engineering, Newcastle University, the UK. (unpublished).

Ahmed, M. Mohamed (2006) . "Validation of CFD modeling for oil well drilling fluid flows" Ph.D. thesis, Newcastle University, the UK.

Hutton, T. (2006). "Seminar Presentation: The Challenge of Turbulence Modeling in the Industrial Application of CFD.", School of Mechanical and Systems Engineering, 11 Jan. 2006 (unpublished)