Using eulerlets to model steady uniform flow past a circular cylinder

Authors

  • E. Chadwick Department of Mathematics, University of Salford, Salford, UK
  • J. Christian Department of Mathematics, University of Salford, Salford, UK
  • K. Chalasani Department of Mathematics, University of Salford, Salford, UK

DOI:

https://doi.org/10.13052/17797179.2018.1550960

Keywords:

Eulerlets, oseenlets

Abstract

Consider uniform, steady flow past a circular cylinder at Reynolds numbers 26, 36 and 40 before the flow becomes unsteady. Model the flow by using eulerlets, new Green’s functions for Euler flow. This is the first time this eulerlet model has been used, introduced at the recent BETEQ 2017 International Conference. In addition, the far-field is also obtained by matching with oseenlets. Unlike existing Euler flow representations, the drag, wake eddies and far-field wake profile are all captured, and compare favourably with experiment.

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References

Abramowitz, M., & Stegun, I. N. (1972). Handbook of mathematical functions (10th ed.).

New York: Dover.

Chadwick, E. A. (2013). The far-field Green’s integral in stokes flow from the boundary

integral formulation. Computer Modeling in Engineering Sciences, 96(3), 177–184.

EUROPEAN JOURNAL OF COMPUTATIONAL MECHANICS 477

Chadwick, E. A. (2015). Modelling steady flow past a two-dimensional bluff body by using

eulerlets. In V. Mantič, A. Sáez and M. H. Aliabadiá (Eds.), Advances in boundary

element and meshless techniques (Vol. XVI, pp. 239–247). Eastleigh, UK: EC Ltd.

Chadwick, E. A., & Kapoulas, A. (2015). Using eulerlets to give a boundary integral

formulation in Euler flow and discussion on applications. Computer Modeling in

Engineering Sciences, 102, 331–343.

Coutanceau, M., & Bouard, R. (1949). Experimental determination of the main features of

the viscous flow in the wake of a circular cylinder in uniform translation. Journal of

Fluid Mechanics, 79, 231–256.

Goldstein, S. (1960). Lectures on fluid mechanics. New York, NY: Interscience.

Kiya, M., & Arie, M. (1977). An inviscid bluff-body wake model which includes the

far-wake displacement effect. Journal of Fluid Mechanics, 81(3), 593–607.

Kovasznay, L. S. G. (1949). Hot-wire investigation of the wake behind cylinders at low

Reynolds numbers. Proceedings of the Royal Society A, 198, 174–190.

Tordella, D., & Belan, M. (2003). A new matched asymptotic expansion for the intermediate

and far flow behind a finite body. Physics of Fluids, 15(7), 1897–1906.

Van Dyke, M. (1982). An album of fluid motion. Stanford: Parabolic Press

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Published

2018-12-01

How to Cite

Chadwick, E., Christian, J., & Chalasani, K. (2018). Using eulerlets to model steady uniform flow past a circular cylinder. European Journal of Computational Mechanics, 27(5-6), 469–478. https://doi.org/10.13052/17797179.2018.1550960

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Original Article