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A physical model of the turbulent boundary layer consonant with mean momentum balance structure. (English) Zbl 1152.76407
Summary: Recent studies by the present authors have empirically and analytically explored the properties and scaling behaviours of the Reynolds averaged momentum equation as applied to wall-bounded flows. The results from these efforts have yielded new perspectives regarding mean flow structure and dynamics, and thus provide a context for describing flow physics. A physical model of the turbulent boundary layer is constructed such that it is consonant with the dynamical structure of the mean momentum balance, while embracing independent experimental results relating, for example, to the statistical properties of the vorticity field and the coherent motions known to exist. For comparison, the prevalent, well-established, physical model of the boundary layer is briefly reviewed. The differences and similarities between the present and the established models are clarified and their implications discussed.

##### MSC:
 76F40 Turbulent boundary layers
##### Keywords:
wall-turbulence; scaling; flow physics; mean momentum balance
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##### References:
 [1] J FLUID MECHANICS 422 pp 1– (2000) [2] J FLUID MECHANICS 459 pp 217– (2002) [3] J FLUID MECHANICS 228 pp 53– (1991) [4] J FLUID MECHANICS 550 pp 51– (2006) [5] J FLUID MECHANICS 422 pp 319– (2000) [6] AIAA J 19 pp 1093– (1981) [7] PHYS FLUIDS 20 pp 124S– (1977) [8] PHIL TRANS R SOC A 336 pp 103– (1991) [9] J FLUID MECHANICS 532 pp 165– (2005) [10] 4 pp 936– (2005) [11] J FLUID MECHANICS 478 pp 35– (2003) [12] J FLUID MECHANICS 524 pp 57– (2005) [13] J FLUID MECHANICS 107 pp 297– (1981) [14] J FLUID MECHANICS 177 pp 133– (1987) [15] J FLUID MECHANICS 219 pp 119– (1990) [16] INT J HEAT FLUID FLOW 17 pp 363– (1996) [17] PHYS FLUIDS A 2 pp 1497– (1990) [18] Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 365 pp 771– (2007) [19] J FLUID MECHANICS 501 pp 135– (2004) [20] PHYS FLUIDS 7 pp 694– (1995) [21] INT J HEAT FLUID FLOW 27 pp 534– (2006) [22] PHYS FLUIDS 13 pp 692– (2001) [23] PHYS FLUIDS 29 pp 955– (1986) [24] J FLUID MECHANICS 508 pp 99– (2004) [25] PHYS FLUIDS 11 pp 943– (1999) [26] J FLUID MECHANICS 62 pp 223– (1974) [27] PHYS FLUIDS 12 pp 1– (2000) [28] APPL MECH REV 58 pp 1– (2005) [29] J FLUID MECHANICS 79 pp 785– (1977) [30] J FLUID MECHANICS 119 pp 173– (1982) [31] J FLUID MECHANICS 298 pp 361– (1995) [32] J FLUID MECHANICS 165 pp 163– (1986) [33] Z AGNEW MATH MECH 5 pp 136– (1925) [34] J FLUID MECHANICS 570 pp 307– (2007) [35] PHYS FLUIDS A 5 pp 2502– (1993) [36] Annual Review of Fluid Mechanics 23 pp 601– (1990) · Zbl 0718.00018 [37] PHIL TRANS R SOC A 336 pp 131– (1991) [38] Smits, Annual Review of Fluid Mechanics 17 (1) pp 321– (1985) · doi:10.1146/annurev.fl.17.010185.001541 [39] J FLUID MECHANICS 187 pp 61– (1988) [40] FRONTIERS IN EXPERIMENTAL FLUID MECHANICS vol. 46 pp 159– (1989) · Zbl 0719.76002 · doi:10.1007/978-3-642-83831-6_4 [41] J FLUID MECHANICS 128 pp 283– (1983) [42] J FLUID MECHANICS 490 pp 37– (2003) [43] PHYS REV E 59 pp 7235– (1999) [44] J FLUID MECHANICS 230 pp 183– (1991) [45] J FLUID MECHANICS 522 pp 303– (2005) [46] AIAA J 43 pp 2350– (2005) [47] J FLUID MECHANICS 421 pp 115– (2000) [48] Physical Review Letters 78 pp 239– (1997)
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