Origin of the scaling laws of developing turbulent boundary layers

Ali, S K Zeeshan and Dey, Subhasish (2022) Origin of the scaling laws of developing turbulent boundary layers. Physics of Fluids, 34 (7). pp. 1-7. ISSN 1070-6631

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Abstract

In this Perspective article, we seek the origin of the scaling laws of developing turbulent boundary layers over a flat plate from the perspective of the phenomenological theory of turbulence. The scaling laws of the boundary-layer thickness and the boundary shear stress in rough and smooth boundary-layer flows are established. In a rough boundary-layer flow, the boundary-layer thickness (scaled with the boundary roughness) and the boundary shear stress (scaled with the dynamic pressure) obey the "2/(1-σ)"and "(1+σ)/(1-σ)"scaling laws, respectively, with the streamwise distance (scaled with the boundary roughness). Here, σ is the spectral exponent. In a smooth boundary-layer flow, the boundary-layer thickness (scaled with the viscous length scale) and the boundary shear stress (scaled with the dynamic pressure) obey the "8/(5 - 3σ)"and "3(1+σ)/(5 - 3σ)"scaling laws, respectively, with the Reynolds number characterized by the streamwise distance. © 2022 Author(s).

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IITH Creators:

IITH Creators	ORCiD
Ali, S K Zeeshan	UNSPECIFIED

Item Type:

Article

Additional Information:

S.Z.A. acknowledges the Institute Seed Grant of Indian Institute of Technology Hyderabad in carrying out this research.

Uncontrolled Keywords:

Boundary layer thickness; Boundary roughness; Boundary shear stress; Boundary-layer flows; Dynamic pressures; Flat plate; Phenomenological theory; Rough boundary; Smooth boundary; Turbulent boundary layers

Subjects:

Civil Engineering

Divisions:

Department of Civil Engineering

Depositing User:

. LibTrainee 2021

Date Deposited:

22 Jul 2022 04:01

Last Modified:

22 Jul 2022 04:01

URI:

http://raiithold.iith.ac.in/id/eprint/9852