Modeling of Flow Passing Backward Facing Step

Authors

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

Keywords:

Induction machine, diagnostics, current spectrum, harmonics

Abstract

Flows passing sudden diameter expansion of ducts can be found in many industrial situations such as flows in annular spaces between drill pipes and open or cased holes while circulating drilling fluids down the wells and up the annular spaces to surface during oil and gas wells drilling. As a first step towards understanding the flow behavior in situation like theses, a simulation of flows similar to this has been carried out. This paper presents results of a computational study of steady, compressible flow over a backward facing-step in a wide, two dimensional duct. The flow in this duct has been investigated experimentally by previous workers ]1[ and so provides a useful benchmark test case. In the present work the commercial CFD code Fluent v6.0.20 is used to compute results for the range of Reynolds numbers 70 < Re < 7000, where Re is based on two-thirds of maximum velocity and duct height upstream of the step. This range includes the laminar, transitional and low Reynolds number turbulent flow regimes, for which significant variations in the separation length have been measured. The results to be presented will include the variation of velocity distributions and separation lengths for the recirculating flow region downstream of the step with Reynolds number

References

Armaly, B. F. et al (1983). "Experimental and Theoretical Investigation of Back-ward-Facing Step- Flow." Journal of Fluid Mechanics, 127: 473-497.

Durst, F. and J. C. F. Pereira (1988). "Time-Dependent Laminar Backward-Facing Step Flow in a Two-Dimensional Duct." Journal of Fluids Engineering ASME, 110: 289-296.

Hammad, K. J. et al. (2001). "Laminar Flow of a Herschel-Bulkley Fluid Over an Axisymmetric Sudden Expansion." Journal of Fluids Engineering ASME, 123: 588-594.

Kaiktsis, L. et al (1991). "Onset of Three-Dimensionality, Equilibria, and Early Transition in Flow Over a Backward-Facing Step." Journal of Fluid Mechanics, 231: 501-528.

Le, H. et al (1997). "Direct Numerical Simulation of Turbulent Flow Over a Backward- Facing Step." Journal of Fluid Mechanics, 330: 349-374.

Williams, P. T. and A. J. Baker (1997). "Numerical Simulations of Laminar Flow Over a 3D Backward-Facing Step." International Journal for Numerical Methods in Fluids, 24: 1159-1183.

Barkley, D. et al (2002). "Three-Dimensional Instability in Flow Over a Backward-Facing Step." Journal of Fluid Mechanics, 473: 167-190.

Feuerstein, I. A. et al (1975). "Flow in an Abrupt Expansion as a Model for Biological Mass Transfer Experiments." Journal of Biomechanics, 8: 41-51.

Guo, B. et al (2001). "Numerical Simulation of Unsteady Turbulent Flow in Axisymmetric Sudden Expansions." Journal of Fluids Engineering ASME, 123: 574-587.

Hallett, W. L. H. (1988). "A Simple Model for the Critical Swirl in a Swirling Sudden Expansion Flow." Journal of Fluids Engineering ASME, 110: 155-160.

Adams, E. W. et al (1984). Experiments on the Structure of Turbulent Reattaching Flow. Thermosciences Division Department of Mechanica Engineering Stanford University, California.

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

USA, p.10-78

Tasri, A. (2005). Accuracy of Nominally 2nd Order Unstructured Grid, CFD Codes. Ph.D. Thesis, University of Newcastle upon Tyne, Newcastle upon Tyne.

Downloads

Published

2023-02-26