Scaling and structure of the momentum and scalar fields within a turbulent boundary layer perturbed by an effusion film and its comparison to asymptotic behaviour of pipe flow momentum

The first part of this thesis presents a new scaling paradigm for the intermediate region of pressure-driven, fully developed turbulent boundary layers. The log law assumption is shown to be invalid for scaling the location of Reynolds shear stress maximum, which predicts $ y^+_{m\tau} \propto Re_{\tau}^{\beta}$ with $\beta = 0.5$. An outer peak in premultiplied production is observed to be further from the wall than the Reynolds shear stress peak, indicating that $\beta > 0.5$. Fitting to high Reynolds number turbulent pipe and channel data produces $\beta = 0.529 \pm 0.005$. An intermediate velocity scale $\Delta U^+_m \propto Re_{\tau}^{2\beta - 1}$ is derived. The magnitude and location of the outer peak in streamwise velocity variance are shown to scale well with $\Delta U^+_m$. A second-order Taylor expansion about $ y^+_{m\tau}$ is used to predict the location of the outer peak in premultiplied production, which has good agreement with high Reynolds number data. The second part of this work presents a large-scale experimental study, where a canonical turbulent boundary layer is perturbed by an effusion film - applicable to gas turbine blade cooling. Lower temperature air is injected into the boundary layer through a staggered array of small holes. The injection-freestream velocity ratio ($VR$) is varied from $0.10 < VR < 0.37$. Three-component laser Doppler anemometry and oil film interferometry characterise the momentum field, and simultaneous x-wire and cold-wire characterise the joint momentum-scalar field. The boundary layer scaling behaviour changes about a critical velocity ratio $VR_c \approx 0.20$, which is attributed to bulk film lift-off. Large spanwise differences in the temperature and momentum fields are observed. Turbulence is significantly enhanced, particularly in the outer region and the near-wall spanwise fluctuations. Neither the local equilibrium hypothesis or Reynolds' analogy are valid.

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Publication Details

Journal
Imperial College Research Computing Service Data Repository
Published
2024-12-30
DOI
https://doi.org/10.25560/119767
Primary Topic
Infections and bacterial resistance
Type
article
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article

Scaling and structure of the momentum and scalar fields within a turbulent boundary layer perturbed by an effusion film and its comparison to asymptotic behaviour of pipe flow momentum

Imperial College Research Computing Service Data Repository
Infections and bacterial resistance
article

Scaling and structure of the momentum and scalar fields within a turbulent boundary layer perturbed by an effusion film and its comparison to asymptotic behaviour of pipe flow momentum

article en

Abstract

The first part of this thesis presents a new scaling paradigm for the intermediate region of pressure-driven, fully developed turbulent boundary layers. The log law assumption is shown to be invalid for scaling the location of Reynolds shear stress maximum, which predicts $ y^+_{m\tau} \propto Re_{\tau}^{\beta}$ with $\beta = 0.5$. An outer peak in premultiplied production is observed to be further from the wall than the Reynolds shear stress peak, indicating that $\beta > 0.5$. Fitting to high Reynolds number turbulent pipe and channel data produces $\beta = 0.529 \pm 0.005$. An intermediate velocity scale $\Delta U^+_m \propto Re_{\tau}^{2\beta - 1}$ is derived. The magnitude and location of the outer peak in streamwise velocity variance are shown to scale well with $\Delta U^+_m$. A second-order Taylor expansion about $ y^+_{m\tau}$ is used to predict the location of the outer peak in premultiplied production, which has good agreement with high Reynolds number data. The second part of this work presents a large-scale experimental study, where a canonical turbulent boundary layer is perturbed by an effusion film - applicable to gas turbine blade cooling. Lower temperature air is injected into the boundary layer through a staggered array of small holes. The injection-freestream velocity ratio ($VR$) is varied from $0.10 < VR < 0.37$. Three-component laser Doppler anemometry and oil film interferometry characterise the momentum field, and simultaneous x-wire and cold-wire characterise the joint momentum-scalar field. The boundary layer scaling behaviour changes about a critical velocity ratio $VR_c \approx 0.20$, which is attributed to bulk film lift-off. Large spanwise differences in the temperature and momentum fields are observed. Turbulence is significantly enhanced, particularly in the outer region and the near-wall spanwise fluctuations. Neither the local equilibrium hypothesis or Reynolds' analogy are valid.

Imperial College Research Computing Service Data Repository
Imperial College London (GB)
Openalex Percentile: Top 57%
Infections and bacterial resistance
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Scaling and structure of the momentum and scalar fields within a turbulent boundary layer perturbed by an effusion film and its comparison to asymptotic behaviour of pipe flow momentum · Imperial College Research Computing Service Data Repository (2024) | TGRS Research Map | TGRS