The mixing length is a distance that a fluid parcel will keep its original characteristics before dispersing them into the surrounding fluid. Here, the bar on the left side of the figure is the mixing length.law of the wall, horizontal velocity near the wall with mixing length model
In fluid dynamics, the mixing length model is a method attempting to describe momentum transfer by turbulence Reynolds stresses within a Newtonian fluid boundary layer by means of an eddy viscosity. The model was developed by Ludwig Prandtl in the early 20th century.[1] Prandtl himself had reservations about the model,[2] describing it as, "only a rough approximation,"[3]
but it has been used in numerous fields ever since, including atmospheric science, oceanography and stellar structure.[4]
^Holton, James R. (2004). "Chapter 5 – The Planetary Boundary Layer". Dynamic Meteorology. International Geophysics Series. Vol. 88 (4th ed.). Burlington, MA: Elsevier Academic Press. pp. 124–127.
^Prandtl, L. (1925). "7. Bericht über Untersuchungen zur ausgebildeten Turbulenz". Z. Angew. Math. Mech. 5 (1): 136–139. Bibcode:1925ZaMM....5..136P. doi:10.1002/zamm.19250050212.
^Bradshaw, P. (1974). "Possible origin of Prandt's mixing-length theory". Nature. 249 (6): 135–136. Bibcode:1974Natur.249..135B. doi:10.1038/249135b0. S2CID 4218601.
^Chan, Kwing; Sabatino Sofia (1987). "Validity Tests of the Mixing-Length Theory of Deep Convection". Science. 235 (4787): 465–467. Bibcode:1987Sci...235..465C. doi:10.1126/science.235.4787.465. PMID 17810341. S2CID 21960234.
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In fluid dynamics, the mixinglengthmodel is a method attempting to describe momentum transfer by turbulence Reynolds stresses within a Newtonian fluid...
{\displaystyle l_{m}} is the mixinglength. This simple model is the basis for the "law of the wall", which is a surprisingly accurate model for wall-bounded, attached...
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, where K m {\displaystyle K_{m}} is defined in terms of Prandtl's mixinglength hypothesis: K m = ξ ′ 2 ¯ | ∂ u ¯ ∂ z | {\displaystyle K_{m}={\overline...
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