### Abstract

In the turbulent boundary layer above a flat plate, the velocity profile is known to have the form v =v_{0}[(1/κ)ln z+const]. The distance from the wall in dimensionless units is z and v_{0} is a uniquely defined velocity scale. The number κ is universal, and measurements over several decades have shown that it is nearly 0.42. We use a randomly stirred model of turbulence to derive the above law and find κ=√108/125π≃0.52.

Original language | English |
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Article number | 016306 |

Number of pages | 7 |

Journal | Physical Review E |

Volume | 63 |

Issue number | 1 |

Early online date | 21 Dec 2000 |

DOIs | |

Publication status | Published - Jan 2001 |

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### Bibliographical note

©2000 American Physical Society### Cite this

*Physical Review E*,

*63*(1 ), [016306]. https://doi.org/10.1103/PhysRevE.63.016306

}

*Physical Review E*, vol. 63, no. 1 , 016306. https://doi.org/10.1103/PhysRevE.63.016306

**Wall-bounded turbulent shear flow : Analytic result for a universal amplitude.** / Chattopadhyay, Amit Kr.; Bhattacharjee, Jayanta K.

Research output: Contribution to journal › Article

TY - JOUR

T1 - Wall-bounded turbulent shear flow

T2 - Analytic result for a universal amplitude

AU - Chattopadhyay, Amit Kr.

AU - Bhattacharjee, Jayanta K.

N1 - ©2000 American Physical Society

PY - 2001/1

Y1 - 2001/1

N2 - In the turbulent boundary layer above a flat plate, the velocity profile is known to have the form v =v0[(1/κ)ln z+const]. The distance from the wall in dimensionless units is z and v0 is a uniquely defined velocity scale. The number κ is universal, and measurements over several decades have shown that it is nearly 0.42. We use a randomly stirred model of turbulence to derive the above law and find κ=√108/125π≃0.52.

AB - In the turbulent boundary layer above a flat plate, the velocity profile is known to have the form v =v0[(1/κ)ln z+const]. The distance from the wall in dimensionless units is z and v0 is a uniquely defined velocity scale. The number κ is universal, and measurements over several decades have shown that it is nearly 0.42. We use a randomly stirred model of turbulence to derive the above law and find κ=√108/125π≃0.52.

UR - http://www.scopus.com/inward/record.url?eid=2-s2.0-18644376038&partnerID=40&md5=46c77e585460ac69b7e17beaa062aadc

U2 - 10.1103/PhysRevE.63.016306

DO - 10.1103/PhysRevE.63.016306

M3 - Article

VL - 63

JO - Physical Review E

JF - Physical Review E

SN - 1539-3755

IS - 1

M1 - 016306

ER -