We employ the full FENE-P model of the hydrodynamics of a dilute polymer solution to derive a theoretical approach to drag reduction in wall-bounded turbulence. We recapture the results of a recent simplified theory which derived the universal maximum drag reduction (MDR) asymptote, and complement that theory with a discussion of the cross-over from the MDR to the Newtonian plug when the drag reduction saturates. The FENE-P model gives rise to a rather complex theory due to the interaction of the velocity field with the polymeric conformation tensor, making analytic estimates quite taxing. To overcome this we develop the theory in a computer-assisted manner, checking at each point the analytic estimates by direct numerical simulations (DNS) of viscoelastic turbulence in a channel.

Maximum drag reduction asymptotes and the cross-over to the Newtonian plug / Benzi R.; De Angelis E.; L'vov V.S.; Procaccia I.; Tiberkevich V.. - In: JOURNAL OF FLUID MECHANICS. - ISSN 0022-1120. - ELETTRONICO. - 551:(2006), pp. 185-195. [10.1017/S0022112005007950]

Maximum drag reduction asymptotes and the cross-over to the Newtonian plug

DE ANGELIS, ELISABETTA;
2006

Abstract

We employ the full FENE-P model of the hydrodynamics of a dilute polymer solution to derive a theoretical approach to drag reduction in wall-bounded turbulence. We recapture the results of a recent simplified theory which derived the universal maximum drag reduction (MDR) asymptote, and complement that theory with a discussion of the cross-over from the MDR to the Newtonian plug when the drag reduction saturates. The FENE-P model gives rise to a rather complex theory due to the interaction of the velocity field with the polymeric conformation tensor, making analytic estimates quite taxing. To overcome this we develop the theory in a computer-assisted manner, checking at each point the analytic estimates by direct numerical simulations (DNS) of viscoelastic turbulence in a channel.
2006
Maximum drag reduction asymptotes and the cross-over to the Newtonian plug / Benzi R.; De Angelis E.; L'vov V.S.; Procaccia I.; Tiberkevich V.. - In: JOURNAL OF FLUID MECHANICS. - ISSN 0022-1120. - ELETTRONICO. - 551:(2006), pp. 185-195. [10.1017/S0022112005007950]
Benzi R.; De Angelis E.; L'vov V.S.; Procaccia I.; Tiberkevich V.
File in questo prodotto:
Eventuali allegati, non sono esposti

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11585/31954
 Attenzione

Attenzione! I dati visualizzati non sono stati sottoposti a validazione da parte dell'ateneo

Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 32
  • ???jsp.display-item.citation.isi??? 30
social impact