A Reynolds-stress transport equation model for turbulent drag-reducing viscoelastic flows, such as that which occurs for dilute polymer solutions, is presented. The approach relies on an extended set of Reynolds-Averaged Navier-Stokes equations which incorporate additional polymer stresses. The polymer stresses are specified in terms of the mean polymer conformation tensor using the FENE-P dumbbell model. The mean conformation tensor equation is solved in a coupled manner along with the Navier-Stokes equations. The presence of the polymer stresses in the equations of motion results in additional explicit polymer terms in the Reynolds-stress transport equations, as well as implicit polymer effects in the pressure-strain redistribution term. Models for both the explicit and implicit effects have been developed and implemented in a code suitable for boundary layer, rectangular channel and pipe-flow geometries. Calibration and validation is has been carried out using results from recent direct numerical simulation of viscoelastic turbulent flow.
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ASME/JSME 2003 4th Joint Fluids Summer Engineering Conference
July 6–10, 2003
Honolulu, Hawaii, USA
Conference Sponsors:
- Fluids Engineering Division
ISBN:
0-7918-3696-7
PROCEEDINGS PAPER
Reynolds Stress Modeling for Drag Reducing Viscoelastic Flows Available to Purchase
Richard Leighton,
Richard Leighton
Veridian Systems Division, Inc., Ann Arbor, MI
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David T. Walker,
David T. Walker
Veridian Systems Division, Inc., Ann Arbor, MI
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Todd Stephens,
Todd Stephens
Veridian Systems Division, Inc., Ann Arbor, MI
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Gordon Garwood
Gordon Garwood
Veridian Systems Division, Inc., Ann Arbor, MI
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Richard Leighton
Veridian Systems Division, Inc., Ann Arbor, MI
David T. Walker
Veridian Systems Division, Inc., Ann Arbor, MI
Todd Stephens
Veridian Systems Division, Inc., Ann Arbor, MI
Gordon Garwood
Veridian Systems Division, Inc., Ann Arbor, MI
Paper No:
FEDSM2003-45655, pp. 735-744; 10 pages
Published Online:
February 4, 2009
Citation
Leighton, R, Walker, DT, Stephens, T, & Garwood, G. "Reynolds Stress Modeling for Drag Reducing Viscoelastic Flows." Proceedings of the ASME/JSME 2003 4th Joint Fluids Summer Engineering Conference. Volume 1: Fora, Parts A, B, C, and D. Honolulu, Hawaii, USA. July 6–10, 2003. pp. 735-744. ASME. https://doi.org/10.1115/FEDSM2003-45655
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