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Volumn 59, Issue 5, 2011, Pages 993-1012

Power-law velocity profile in turbulent boundary layers: An integral reynolds-number dependent solution

Author keywords

Boundary layer; Power law; Reynolds stress; Stream flows; Turbulence

Indexed keywords

ANALYTICAL EXPRESSIONS; BOUNDARY LAYER THICKNESS; CONSERVATION OF MASS; EDDY VISCOSITY; EXPERIMENTAL DATA; GEOPHYSICAL FLOWS; POWER-LAW; REYNOLDS SHEAR STRESS; REYNOLDS STRESS; SKIN FRICTION COEFFICIENT; TURBULENT BOUNDARY LAYER FLOW; TURBULENT BOUNDARY LAYERS; VELOCITY PROFILES; ZERO-PRESSURE GRADIENT TURBULENT BOUNDARY LAYER;

EID: 79960963436     PISSN: 18956572     EISSN: 18957455     Source Type: Journal    
DOI: 10.2478/s11600-011-0025-1     Document Type: Article
Times cited : (10)

References (40)
  • 2
    • 0035204889 scopus 로고    scopus 로고
    • Power law and log law velocity profiles in fully developed turbulent pipe flows: equivalent relations at large Reynolds numbers
    • Afzal, N. (2001a), Power law and log law velocity profiles in fully developed turbulent pipe flows: equivalent relations at large Reynolds numbers, Acta Mech. 151, 171-183, DOI: 10. 1007/BF01246916.
    • (2001) Acta Mech. , vol.151 , pp. 171-183
    • Afzal, N.1
  • 3
    • 0035194212 scopus 로고    scopus 로고
    • Power law and log law velocity profiles in turbulent boundary layer flows: equivalent relations at large Reynolds numbers
    • Afzal, N. (2001b), Power law and log law velocity profiles in turbulent boundary layer flows: equivalent relations at large Reynolds numbers, Acta Mech. 151, 195-216, DOI: 10. 1007/BF01246918.
    • (2001) Acta Mech. , vol.151 , pp. 195-216
    • Afzal, N.1
  • 4
    • 22244437582 scopus 로고    scopus 로고
    • Analysis of power law and log law velocity profiles in overlap region of a turbulent wall jet
    • Afzal, N. (2005), Analysis of power law and log law velocity profiles in overlap region of a turbulent wall jet, Proc. R. Soc. A461, 2058, 1889-1910, DOI: 10. 1098/rspa. 2004. 1400.
    • (2005) Proc. R. Soc. A , vol.461 , Issue.2058 , pp. 1889-1910
    • Afzal, N.1
  • 5
    • 34548747995 scopus 로고    scopus 로고
    • Power law velocity profile in turbulent boundary layers on transitional rough wall
    • Afzal, N. (2007), Power law velocity profile in turbulent boundary layers on transitional rough wall, J. Fluids Eng. 129, 8, 1083-1100, DOI: 10. 1115/1. 2746902.
    • (2007) J. Fluids Eng. , vol.129 , Issue.8 , pp. 1083-1100
    • Afzal, N.1
  • 6
    • 50949118571 scopus 로고    scopus 로고
    • Power-law velocity profile in a turbulent Ekman layer on a transitional rough surface
    • Afzal, N. (2008), Power-law velocity profile in a turbulent Ekman layer on a transitional rough surface, Quart. J. Roy. Met. Soc. 134, 634, 1113-1125, DOI: 10. 1002/qj. 285.
    • (2008) Quart. J. Roy. Met. Soc. , vol.134 , Issue.634 , pp. 1113-1125
    • Afzal, N.1
  • 7
    • 33745178823 scopus 로고    scopus 로고
    • Power law turbulent velocity profile in transitional rough pipes
    • Afzal, N., A. Seena, and A. Bushra (2006), Power law turbulent velocity profile in transitional rough pipes, J. Fluids Eng. 128, 3, 548-558, DOI: 10. 1115/1. 2175161.
    • (2006) J. Fluids Eng. , vol.128 , Issue.3 , pp. 548-558
    • Afzal, N.1    Seena, A.2    Bushra, A.3
  • 8
    • 79960945398 scopus 로고    scopus 로고
    • Discussion to velocity profile and flow resistance models for developing chute flow
    • Afzal, N., A. Seena, and A. Bushra (2011), Discussion to velocity profile and flow resistance models for developing chute flow, J. Hydraul. Eng. 137, 8 (in press).
    • (2011) J. Hydraul. Eng. , vol.137 , pp. 8
    • Afzal, N.1    Seena, A.2    Bushra, A.3
  • 9
    • 0036011025 scopus 로고    scopus 로고
    • Friction velocity and power law velocity profile in smooth and rough shallow open channel flows
    • Balachandar, R., D. Bakely, and J. Bugg (2002), Friction velocity and power law velocity profile in smooth and rough shallow open channel flows, Can. J. Civ. Eng. 29, 256-266, DOI: 10. 1139/L01-093.
    • (2002) Can. J. Civ. Eng. , vol.29 , pp. 256-266
    • Balachandar, R.1    Bakely, D.2    Bugg, J.3
  • 10
    • 0027441395 scopus 로고
    • Scaling laws for fully developed turbulent shear flows. Part I: Basic hypothesis and analysis
    • Barenblatt, G. I. (1993), Scaling laws for fully developed turbulent shear flows. Part I: Basic hypothesis and analysis, J. Fluid Mech. 248, 513-520, DOI: 10. 1017/S0022112093000874.
    • (1993) J. Fluid Mech. , vol.248 , pp. 513-520
    • Barenblatt, G.I.1
  • 11
    • 0034282246 scopus 로고    scopus 로고
    • A note on the intermediate region in turbulent boundary layers
    • Barenblatt, G. I., A. J. Chorin, and V. M. Prostokishin (2000a), A note on the intermediate region in turbulent boundary layers, Phys. Fluids12, 2159-2161, DOI: 10. 1063/1. 1287613.
    • (2000) Phys. Fluids , vol.12 , pp. 2159-2161
    • Barenblatt, G.I.1    Chorin, A.J.2    Prostokishin, V.M.3
  • 12
    • 0033912214 scopus 로고    scopus 로고
    • Self-similar intermediate structures in turbulent boundary layers at large Reynolds numbers
    • Barenblatt, G. I., A. J. Chorin, and V. M. Prostokishin (2000b), Self-similar intermediate structures in turbulent boundary layers at large Reynolds numbers, J. Fluid Mech. 410, 263-283.
    • (2000) J. Fluid Mech. , vol.410 , pp. 263-283
    • Barenblatt, G.I.1    Chorin, A.J.2    Prostokishin, V.M.3
  • 13
    • 0037273389 scopus 로고    scopus 로고
    • Generalized logarithmic law and its consequences
    • Buschmann, M. H., and M. Gad-el-Hak (2003a), Generalized logarithmic law and its consequences, AIAA J. 41, 1, 40-48, DOI: 10. 2514/2. 1911.
    • (2003) AIAA J. , vol.41 , Issue.1 , pp. 40-48
    • Buschmann, M.H.1    Gad-El-Hak, M.2
  • 14
    • 0037392494 scopus 로고    scopus 로고
    • Debate concerning the meanvelocity profile of a turbulent boundary layer
    • Buschmann, M. H., and M. Gad-el-Hak (2003b), Debate concerning the meanvelocity profile of a turbulent boundary layer, AIAA J. 41, 4, 565-572, DOI: 10. 2514/2. 1994.
    • (2003) AIAA J. , vol.41 , Issue.4 , pp. 565-572
    • Buschmann, M.H.1    Gad-El-Hak, M.2
  • 15
    • 34047173144 scopus 로고    scopus 로고
    • Recent developments in scaling of wall-bounded flows
    • Buschmann, M. H., and M. Gad-el-Hak (2006), Recent developments in scaling of wall-bounded flows, Prog. Aerosp. Sci. 42, 5-6, 419-467, DOI: 10. 1016/j. paerosci. 2007. 01. 001.
    • (2006) Prog. Aerosp. Sci. , vol.42 , Issue.5-6 , pp. 419-467
    • Buschmann, M.H.1    Gad-El-Hak, M.2
  • 16
    • 65949089843 scopus 로고    scopus 로고
    • Hydraulics of developing chute flow
    • Castro-Orgaz, O. (2009), Hydraulics of developing chute flow, J. Hydraul. Res. 47, 2, 185-194, DOI: 10. 3826/jhr. 2009. 3462.
    • (2009) J. Hydraul. Res. , vol.47 , Issue.2 , pp. 185-194
    • Castro-Orgaz, O.1
  • 17
    • 77955607990 scopus 로고    scopus 로고
    • Velocity profile and flow resistance models for developing chute flow
    • Castro-Orgaz, O. (2010), Velocity profile and flow resistance models for developing chute flow, J. Hydraul. Eng. 136, 7, 447-452, DOI: 10. 1061/ (ASCE)HY. 1943-7900. 0000190.
    • (2010) J. Hydraul. Eng. , vol.136 , Issue.7 , pp. 447-452
    • Castro-Orgaz, O.1
  • 18
    • 79960945398 scopus 로고    scopus 로고
    • Closure to velocity profile and flow resistance models for developing chute flow
    • Castro-Orgaz, O. (2011), Closure to velocity profile and flow resistance models for developing chute flow, J. Hydraul. Eng. 137, 8 (in press).
    • (2011) J. Hydraul. Eng. , vol.137 , pp. 8
    • Castro-Orgaz, O.1
  • 19
    • 77958564506 scopus 로고    scopus 로고
    • Drawdown curve and turbulent boundary layer development for chute flow
    • Castro-Orgaz, O., and W. H. Hager (2010), Drawdown curve and turbulent boundary layer development for chute flow, J. Hydraul. Res. 48, 5, 591-602, DOI: 10. 1080/00221686. 2010. 507337.
    • (2010) J. Hydraul. Res. , vol.48 , Issue.5 , pp. 591-602
    • Castro-Orgaz, O.1    Hager, W.H.2
  • 20
    • 84930139058 scopus 로고
    • Unified theory on power laws for resistance
    • Chen, C. L. (1991), Unified theory on power laws for resistance, J. Hydraul. Eng. 117, 3, 371-389, DOI: 10. 1061/(ASCE)0733-9429(1991)117: 3(371).
    • (1991) J. Hydraul. Eng. , vol.117 , Issue.3 , pp. 371-389
    • Chen, C.L.1
  • 21
    • 84974095664 scopus 로고
    • The law of the wake in the turbulent boundary layer
    • Coles, D. E. (1956), The law of the wake in the turbulent boundary layer, J. Fluid Mech. 1, 2, 191-226, DOI: 10. 1017/S0022112056000135.
    • (1956) J. Fluid Mech. , vol.1 , Issue.2 , pp. 191-226
    • Coles, D.E.1
  • 22
    • 0016878605 scopus 로고
    • A single formula for the complete velocity profile in a turbulent boundary layer
    • Dean, R. B. (1976), A single formula for the complete velocity profile in a turbulent boundary layer, J. Fluids Eng. 98, 723-726.
    • (1976) J. Fluids Eng. , vol.98 , pp. 723-726
    • Dean, R.B.1
  • 23
    • 33847181223 scopus 로고    scopus 로고
    • Is there a universal log-law for turbulent wall-bounded flows?
    • George, W. K. (2007), Is there a universal log-law for turbulent wall-bounded flows? Phil. Trans. Royal Soc. A365, 789-806, DOI: 10. 1098/rsta. 2006. 1941.
    • (2007) Phil. Trans. Royal Soc. A , vol.365 , pp. 789-806
    • George, W.K.1
  • 24
    • 0031335595 scopus 로고    scopus 로고
    • The zero pressure-gradient turbulent boundary layer
    • George, W. K., and L. Castillo (1997), The zero pressure-gradient turbulent boundary layer, Appl. Mech. Rev. 50, 689-729, DOI: 10. 1115/1. 3101858.
    • (1997) Appl. Mech. Rev. , vol.50 , pp. 689-729
    • George, W.K.1    Castillo, L.2
  • 25
    • 0016993853 scopus 로고
    • Modified law of the wake for turbulent shear layers
    • Granville, P. S. (1976), Modified law of the wake for turbulent shear layers, J. Fluids Eng. 98, 578-580.
    • (1976) J. Fluids Eng. , vol.98 , pp. 578-580
    • Granville, P.S.1
  • 26
    • 24944501153 scopus 로고    scopus 로고
    • Modified log-wake law for zero pressure gradient turbulent boundary layers
    • Guo, J., P. Y. Julien, and R. N. Meroney (2005), Modified log-wake law for zero pressure gradient turbulent boundary layers, J. Hydraul. Res. 43, 421-430.
    • (2005) J. Hydraul. Res. , vol.43 , pp. 421-430
    • Guo, J.1    Julien, P.Y.2    Meroney, R.N.3
  • 27
    • 0016462499 scopus 로고
    • New York: McGraw-Hill
    • Hinze, J. O. (1975), Turbulence, McGraw-Hill, New York.
    • (1975) Turbulence
    • Hinze, J.O.1
  • 29
    • 0027009854 scopus 로고
    • Comparison between rough- and smooth-wall turbulent boundary layers
    • Krogstad, P. A., R. A. Antonia, and L. W. B. Browne (1992), Comparison between rough- and smooth-wall turbulent boundary layers, J. Fluid Mech. 245, 599-617, DOI: 10. 1017/S0022112092000594.
    • (1992) J. Fluid Mech. , vol.245 , pp. 599-617
    • Krogstad, P.A.1    Antonia, R.A.2    Browne, L.W.B.3
  • 30
    • 67650113959 scopus 로고    scopus 로고
    • Modified logarithmic tachoida applied to sediment transport in a river
    • Meyer, Z. (2009), Modified logarithmic tachoida applied to sediment transport in a river, Acta Geophys. 57, 2, 743-759, DOI: 10. 2478/s11600-009-0064-z.
    • (2009) Acta Geophys. , vol.57 , Issue.2 , pp. 743-759
    • Meyer, Z.1
  • 32
    • 0034080340 scopus 로고    scopus 로고
    • A note on the overlap region in turbulent boundary layers
    • Österlund, J. M., A. V. Johansson, H. M. Nagib, and M. H. Hites (2000), A note on the overlap region in turbulent boundary layers, Phys. Fluids12, 1, 1-4, DOI: 10. 1063/1. 870250.
    • (2000) Phys. Fluids , vol.12 , Issue.1 , pp. 1-4
    • Österlund, J.M.1    Johansson, A.V.2    Nagib, H.M.3    Hites, M.H.4
  • 33
    • 50549172568 scopus 로고
    • Turbulent boundary layers in incompressible flow
    • Rotta, J. C. (1962), Turbulent boundary layers in incompressible flow, Prog. Aerosp. Sci. 2, 1-220, DOI: 10. 1016/0376-0421(62)90014-3.
    • (1962) Prog. Aerosp. Sci. , vol.2 , pp. 1-220
    • Rotta, J.C.1
  • 34
    • 30444460094 scopus 로고    scopus 로고
    • Shear velocity estimation in hydraulic research
    • Rowinski, P. M., J. Aberle, and A. Mazurczyk (2005), Shear velocity estimation in hydraulic research, Acta Geophys. 53, 553-565.
    • (2005) Acta Geophys. , vol.53 , pp. 553-565
    • Rowinski, P.M.1    Aberle, J.2    Mazurczyk, A.3
  • 37
    • 0033769210 scopus 로고    scopus 로고
    • A theory for turbulent pipe and channel flows
    • Wosnik, M., L. Castillo, and W. K. George (2000), A theory for turbulent pipe and channel flows, J. Fluid Mech. 421, 115-145.
    • (2000) J. Fluid Mech. , vol.421 , pp. 115-145
    • Wosnik, M.1    Castillo, L.2    George, W.K.3
  • 38
    • 0003507218 scopus 로고    scopus 로고
    • Princeton, NJ: Dept. of Mechanical and Aerospace Eng., Princeton Univ
    • Zagarola, M. V. (1996), Mean Flow Scaling of Turbulent Pipe Flow, Ph. D. Thesis, Dept. of Mechanical and Aerospace Eng., Princeton Univ., Princeton, NJ.
    • (1996) Mean Flow Scaling of Turbulent Pipe Flow
    • Zagarola, M.V.1
  • 39
    • 0032179824 scopus 로고    scopus 로고
    • Mean-flow scaling of turbulent pipe flow
    • Zagarola, M. V., and A. J. Smits (1998), Mean-flow scaling of turbulent pipe flow, J. Fluid Mech. 373, 33-79.
    • (1998) J. Fluid Mech. , vol.373 , pp. 33-79
    • Zagarola, M.V.1    Smits, A.J.2
  • 40
    • 5944235692 scopus 로고    scopus 로고
    • Log laws or power laws: The scaling in the overlap region
    • Zagarola, M. V., A. E. Perry, and A. J. Smits (1997), Log laws or power laws: The scaling in the overlap region, Phys. Fluids9, 2094-2100, DOI: 10. 1063/1. 869328.
    • (1997) Phys. Fluids , vol.9 , pp. 2094-2100
    • Zagarola, M.V.1    Perry, A.E.2    Smits, A.J.3


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