Data-driven compressibility transformation for turbulent wall layers

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Data-driven compressibility transformation for turbulent wall layers

Pedro S. Volpiani, Prahladh S. Iyer, Sergio Pirozzoli, and Johan Larsson

Phys. Rev. Fluids 5, 052602(R) – Published 20 May 2020

Abstract

A scaling formula for the mean velocity and wall distance in compressible turbulent wall-bounded flows is developed. The development is both physics- and data-driven: universality in the viscous sublayer and of the Morkovin-scaled shear stress is analytically enforced, after which the remaining two free parameters are determined from direct numerical simulation data. The scaling formula is calibrated on four boundary layers up to Mach 6, and validated on seven boundary layers up to Mach 14. The proposed transformation shows an improved collapse of the mean velocity profile across different Reynolds numbers, Mach numbers, and wall thermal conditions when compared to existing ones.

Received 19 July 2019
Accepted 20 April 2020

DOI:https://doi.org/10.1103/PhysRevFluids.5.052602

Physics Subject Headings (PhySH)

Compressible boundary layers High-speed flow Turbulence

Fluid Dynamics

Authors & Affiliations

Pedro S. Volpiani ¹, Prahladh S. Iyer ², Sergio Pirozzoli ³, and Johan Larsson ¹

¹Department of Mechanical Engineering, University of Maryland, College Park, Maryland 20742, USA
²National Institute of Aerospace, Hampton, Virginia 23666, USA
³Dipartimento di Ingegneria Meccanica e Aerospaziale, Università di Roma “La Sapienza”, Via Eudossiana 18, 00184 Roma, Italy

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Issue

Vol. 5, Iss. 5 — May 2020

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Physical Review Fluids