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Shape factor of the turbulent boundary layer on a flat plate and the Reynolds shear stress in the outer region

P. Phani Kumar^*

J. Dey^†

Department of Aerospace Engineering, Indian Institute of Science, Bangalore 560012, India

No. 451, Tatanagar, Bangalore 560092, India

^*Present address: Department of Aerospace Engineering, GITAM School of Technology, Hyderabad, India; phani2565@gmail.com
^†Formerly at Department of Aerospace Engineering, Indian Institute of Science, Bangalore, India; jyotirmoyd@alumni.iisc.ac.in

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Phys. Rev. Fluids 4, 024605 – Published 15 February, 2019

DOI: https://doi.org/10.1103/PhysRevFluids.4.024605

Abstract

It has recently been shown by Wei and Klewicki [Phys. Rev. Fluids 1, 082401 (2016)] that in a zero-pressure-gradient turbulent boundary layer flow, the product of the nondimensional free-stream velocities in the streamwise $(U_{\infty}^{+})$ and wall-normal $(V_{\infty}^{+})$ directions is the flow shape parameter $(H)$ : $U_{\infty}^{+} V_{\infty}^{+} = H$ . It is suggested here that this result is a consequence of the variation of the Reynolds shear stress with $U_{\infty} V$ in the outer region of the boundary layer.

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References (8)

T. Wei and J. Klewicki, Scaling properties of the mean wall-normal velocity in zero-pressure-gradient boundary layers, Phys. Rev. Fluids 1, 082401 (2016).
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Shape factor of the turbulent boundary layer on a flat plate and the Reynolds shear stress in the outer region

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Physics Subject Headings (PhySH)

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References (8)

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