Experiments and Modeling of a Compliant Wall Response to a Turbulent Boundary Layer with Dynamic Roughness Forcing

The response of a compliant surface in a turbulent boundary layer forced by a dynamic roughness is studied using experiments and resolvent analysis. Water tunnel experiments are carried out at a friction Reynolds number of <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML...

Full description

Bibliographic Details
Main Authors: David P. Huynh, Yuting Huang, Beverley J. McKeon
Format: Article
Language:English
Published: MDPI AG 2021-04-01
Series:Fluids
Subjects:
Online Access:https://www.mdpi.com/2311-5521/6/5/173
_version_ 1827694059023499264
author David P. Huynh
Yuting Huang
Beverley J. McKeon
author_facet David P. Huynh
Yuting Huang
Beverley J. McKeon
author_sort David P. Huynh
collection DOAJ
description The response of a compliant surface in a turbulent boundary layer forced by a dynamic roughness is studied using experiments and resolvent analysis. Water tunnel experiments are carried out at a friction Reynolds number of <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msub><mi>Re</mi><mi>τ</mi></msub><mo>≈</mo><mn>410</mn></mrow></semantics></math></inline-formula>, with flow and surface measurements taken with 2D particle image velocimetry (PIV) and stereo digital image correlation (DIC). The narrow band dynamic roughness forcing enables analysis of the flow and surface responses coherent with the forcing frequency, and the corresponding Fourier modes are extracted and compared with resolvent modes. The resolvent modes capture the structures of the experimental Fourier modes and the resolvent with eddy viscosity improves the matching. The comparison of smooth and compliant wall resolvent modes predicts a virtual wall feature in the wall normal velocity of the compliant wall case. The virtual wall is revealed in experimental data using a conditional average informed by the resolvent prediction. Finally, the change to the resolvent modes due to the influence of wall compliance is studied by modeling the compliant wall boundary condition as a deterministic forcing to the smooth wall resolvent framework.
first_indexed 2024-03-10T11:57:53Z
format Article
id doaj.art-58d9b3babc8c4dcdba87d1addbf445df
institution Directory Open Access Journal
issn 2311-5521
language English
last_indexed 2024-03-10T11:57:53Z
publishDate 2021-04-01
publisher MDPI AG
record_format Article
series Fluids
spelling doaj.art-58d9b3babc8c4dcdba87d1addbf445df2023-11-21T17:11:27ZengMDPI AGFluids2311-55212021-04-016517310.3390/fluids6050173Experiments and Modeling of a Compliant Wall Response to a Turbulent Boundary Layer with Dynamic Roughness ForcingDavid P. Huynh0Yuting Huang1Beverley J. McKeon2Graduate Aerospace Laboratories, California Institute of Technology, 1200 East California Boulevard, Pasadena, CA 91125, USAGraduate Aerospace Laboratories, California Institute of Technology, 1200 East California Boulevard, Pasadena, CA 91125, USAGraduate Aerospace Laboratories, California Institute of Technology, 1200 East California Boulevard, Pasadena, CA 91125, USAThe response of a compliant surface in a turbulent boundary layer forced by a dynamic roughness is studied using experiments and resolvent analysis. Water tunnel experiments are carried out at a friction Reynolds number of <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msub><mi>Re</mi><mi>τ</mi></msub><mo>≈</mo><mn>410</mn></mrow></semantics></math></inline-formula>, with flow and surface measurements taken with 2D particle image velocimetry (PIV) and stereo digital image correlation (DIC). The narrow band dynamic roughness forcing enables analysis of the flow and surface responses coherent with the forcing frequency, and the corresponding Fourier modes are extracted and compared with resolvent modes. The resolvent modes capture the structures of the experimental Fourier modes and the resolvent with eddy viscosity improves the matching. The comparison of smooth and compliant wall resolvent modes predicts a virtual wall feature in the wall normal velocity of the compliant wall case. The virtual wall is revealed in experimental data using a conditional average informed by the resolvent prediction. Finally, the change to the resolvent modes due to the influence of wall compliance is studied by modeling the compliant wall boundary condition as a deterministic forcing to the smooth wall resolvent framework.https://www.mdpi.com/2311-5521/6/5/173turbulent boundary layercompliant walldynamic roughnessresolvent analysis
spellingShingle David P. Huynh
Yuting Huang
Beverley J. McKeon
Experiments and Modeling of a Compliant Wall Response to a Turbulent Boundary Layer with Dynamic Roughness Forcing
Fluids
turbulent boundary layer
compliant wall
dynamic roughness
resolvent analysis
title Experiments and Modeling of a Compliant Wall Response to a Turbulent Boundary Layer with Dynamic Roughness Forcing
title_full Experiments and Modeling of a Compliant Wall Response to a Turbulent Boundary Layer with Dynamic Roughness Forcing
title_fullStr Experiments and Modeling of a Compliant Wall Response to a Turbulent Boundary Layer with Dynamic Roughness Forcing
title_full_unstemmed Experiments and Modeling of a Compliant Wall Response to a Turbulent Boundary Layer with Dynamic Roughness Forcing
title_short Experiments and Modeling of a Compliant Wall Response to a Turbulent Boundary Layer with Dynamic Roughness Forcing
title_sort experiments and modeling of a compliant wall response to a turbulent boundary layer with dynamic roughness forcing
topic turbulent boundary layer
compliant wall
dynamic roughness
resolvent analysis
url https://www.mdpi.com/2311-5521/6/5/173
work_keys_str_mv AT davidphuynh experimentsandmodelingofacompliantwallresponsetoaturbulentboundarylayerwithdynamicroughnessforcing
AT yutinghuang experimentsandmodelingofacompliantwallresponsetoaturbulentboundarylayerwithdynamicroughnessforcing
AT beverleyjmckeon experimentsandmodelingofacompliantwallresponsetoaturbulentboundarylayerwithdynamicroughnessforcing