Abstract:
We extend the analysis of the friction factor for turbulent pipe flow reported by G. Gioia and P. Chakraborty [Phys. Rev. Lett. 96, 044502 (2006)]10.1103/PhysRevLett.96.044502 to the case where drag is reduced by polymer additives. © 2010 The American Physical Society.
Referencias:
- Schlichting, H., (1950) Boundary Layer Theory, , McGraw-Hill, New York
- Monin, A.S., Yaglom, A.M., (1971) Statistical Fluid Mechanics, , MIT Press, Cambridge, MA
- Pope, S.B., (2000) Turbulent Flows, , Cambridge UP, Cambridge, England
- McKeon, B.J., Zagarola, M.V., Smits, A.J., (2005) J. Fluid Mech., 538, p. 429. , 10.1017/S0022112005005501
- Yang, B.H., Joseph, D., (2009) J. Turbul., 10, p. 11. , 10.1080/14685240902806491
- Gioia, G., Chakraborty, P., (2006) Phys. Rev. Lett., 96, p. 044502. , 10.1103/PhysRevLett.96.044502
- Goldenfeld, N., (2006) Phys. Rev. Lett., 96, p. 044503. , 10.1103/PhysRevLett.96.044503
- Gioia, G., Bombardelli, F.A., (2001) Phys. Rev. Lett., 88, p. 014501. , 10.1103/PhysRevLett.88.014501
- Gioia, G., Chakraborty, P., Bombardelli, F.A., (2006) Phys. Fluids, 18, p. 038107. , 10.1063/1.2189285
- Mehrafarin, M., Pourtolami, N., (2008) Phys. Rev. e, 77, p. 055304. , 10.1103/PhysRevE.77.055304
- Guttenberg, N., Goldenfeld, N., (2009) Phys. Rev. e, 79, p. 065306. , 10.1103/PhysRevE.79.065306
- Tran, T., Chakraborty, P., Guttenberg, N., Prescott, A., Kellay, H., Goldburg, W., Goldenfeld, N., Gioia, G., (2010) Nat. Phys., 6, p. 438. , 10.1038/nphys1674
- Gioia, G., Guttenberg, N., Goldenfeld, N., Chakraborty, P., (2010) Phys. Rev. Lett., 105, p. 184501. , 10.1103/PhysRevLett.105.184501
- Calzetta, E., (2009) Phys. Rev. e, 79, p. 056311. , 10.1103/PhysRevE.79.056311
- Virk, P.S., Merrill, E.W., Mickley, H.S., Smith, K.A., Mollo-Christensen, E.L., (1967) J. Fluid Mech., 30, p. 305. , 10.1017/S0022112067001442
- Lumley, J.L., (1969) Annu. Rev. Fluid Mech., 1, p. 367. , 10.1146/annurev.fl.01.010169.002055
- Virk, P.S., (1971) J. Fluid Mech., 45, p. 225. , 10.1017/S0022112071000028
- Virk, P.S., (1971) J. Fluid Mech., 45, p. 417. , 10.1017/S0022112071000120
- Berman, N.S., (1978) Annu. Rev. Fluid Mech., 10, p. 47. , 10.1146/annurev.fl.10.010178.000403
- De Gennes, P.G., (1990) Introduction to Polymer Dynamics, , Cambridge University Press, Cambridge, England, 10.1017/CBO9780511569463
- McComb, W.D., (1994) The Physics of Fluid Turbulence, , Clarendon Press, Oxford
- Thirumalai, D., Bhattacharjee, J.K., (1996) Phys. Rev. e, 53, p. 546. , 10.1103/PhysRevE.53.546
- Jovanovic, J., Pashtrapanska, M., Frohnapfel, B., Durst, F., Koskinen, J., Koskinen, K., (2006) J. Fluids Eng., 128, p. 118. , 10.1115/1.2073227
- Ouellette, N.T., Xu, H., Bodenschatz, E., (2009) J. Fluid Mech., 629, p. 375. , 10.1017/S0022112009006697
- Procaccia, I., L'Vov, V.S., Benzi, R., (2008) Rev. Mod. Phys., 80, p. 225. , 10.1103/RevModPhys.80.225
- White, C.M., Mungal, M.G., (2008) Annu. Rev. Fluid Mech., 40, p. 235. , 10.1146/annurev.fluid.40.111406.102156
- Perlekar, P., Mitra, D., Pandit, R., (2006) Phys. Rev. Lett., 97, p. 264501. , 10.1103/PhysRevLett.97.264501
- Bird, R.B., Curtiss, C.F., Armstrong, R.C., Hassager, O., (1987) Dynamics of Polymer Liquids, 2. , John Wiley, New York
- Ptasinski, P.K., Boersma, B.J., Nieuwstadt, F.T.M., Hulsen, M.A., Van Den Brule B H A, A., Hunt, J.C.R., (2003) J. Fluid Mech., 490, p. 251. , 10.1017/S0022112003005305
- Calzetta, E., e-print arXiv:0908.4068; Yoshizawa, A., Itoh, S.-I., Itoh, K., (2002) Plasma and Fluid Turbulence: Theory and Modeling, , IOP, Bristol
- Von Karman, T., (1948) Proc. Natl. Acad. Sci. U.S.A., 34, p. 530. , 10.1073/pnas.34.11.530
- Trinh, K.T., e-print arXiv:1001.1582; Roy, A., Larson, R., (2005) Appl. Rheol., 15, p. 370
- Brasseur, J.G., Robert, A., Collins, L.R., Vaithianathan, T., (2005), 1. , Second International Symposium in Seawater Drag Reduction; Yang, S.-Q., Dou, G.-R., (2008) Phys. Fluids, 20, p. 065105. , 10.1063/1.2920275
- McComb, W.D., Kiyani, K., (2005) Phys. Rev. e, 72, p. 016309. , 10.1103/PhysRevE.72.016309
Citas:
---------- APA ----------
(2010)
. Drag reduction by polymer additives from turbulent spectra. Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, 82(6).
http://dx.doi.org/10.1103/PhysRevE.82.066310---------- CHICAGO ----------
Calzetta, E.
"Drag reduction by polymer additives from turbulent spectra"
. Physical Review E - Statistical, Nonlinear, and Soft Matter Physics 82, no. 6
(2010).
http://dx.doi.org/10.1103/PhysRevE.82.066310---------- MLA ----------
Calzetta, E.
"Drag reduction by polymer additives from turbulent spectra"
. Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, vol. 82, no. 6, 2010.
http://dx.doi.org/10.1103/PhysRevE.82.066310---------- VANCOUVER ----------
Calzetta, E. Drag reduction by polymer additives from turbulent spectra. Phys. Rev. E Stat. Nonlinear Soft Matter Phys. 2010;82(6).
http://dx.doi.org/10.1103/PhysRevE.82.066310