Turbulence Measurements in Stably Stratified Fluids

Turbulence Measurements in Stably Stratified Fluids
Author: y. H. Pao
Publisher:
Total Pages: 49
Release: 1970
Genre:
ISBN:

A towing tank system was used to study the structure of turbulence in stably stratified fluids. Turbulence is generated by moving an obstacle (a grid or a cylinder) in a tank of stratified salt water. Recent improved shadowgraph pictures of these laboratory generated stratified flows are shown in the paper. They give further support to Pao's observation that (1) internal waves and turbulence coexist in turbulent stratified flows, with internal waves at the large scales and turbulence at the small scales; (2) turbulence decays much more rapidly than internal waves; and (3) the turbulent-nonturbulent interfaces are not necessarily sharp, and the transition region may consist of mostly internal waves. Diagnostic methods to distinguish internal waves from turbulence with two probe measurements are proposed. (Author).

Spectra of Internal Waves and Turbulence in Stratified Fluids. Part I. General Discussion and Indications from Measurements in Stably Stratified Atmosphere and Ocean

Spectra of Internal Waves and Turbulence in Stratified Fluids. Part I. General Discussion and Indications from Measurements in Stably Stratified Atmosphere and Ocean
Author: Yih-Ho Pao
Publisher:
Total Pages: 18
Release: 1969
Genre:
ISBN:

A unified spectral description of internal waves and turbulence in stably stratified atmosphere and ocean is proposed. We envisage that the fluctuating motions in a free atmosphere with scales smaller than the synoptic scale consist of internal waves and turbulence. At low wavenumbers, internal waves predominate; this range of wavenumbers may be called the internal wave subrange. The internal waves can be identified from the characteristics of velocity-scalar co-spectra and quadrature-spectra, as shown recently by Pao in a laboratory experiment. When the internal waves are sufficiently strong and distinct, the different harmonics of internal waves may present themselves in the auto-spectra of velocity and temperature, where the peaks and valleys are clearly identifiable. This, we believe, explains the presence of peaks and valleys in some velocity auto-spectra of clear air turbulence measured in strongly stratified regions of the atmosphere. At intermediate wavenumbers (buoyant subrange), the buoyancy effect is still strong but the turbulent scrambling process becomes important; the higher-order harmonics of internal waves are no longer distinct and cannnot be detected in the auto-spectra. (Author).

Analyses of Turbulence in the Neutrally and Stably Stratified Planetary Boundary Layer

Analyses of Turbulence in the Neutrally and Stably Stratified Planetary Boundary Layer
Author: Cedrick Ansorge
Publisher: Springer
Total Pages: 180
Release: 2016-09-15
Genre: Science
ISBN: 3319450441

This thesis presents a study of strong stratification and turbulence collapse in the planetary boundary layer, opening a new avenue in this field. It is the first work to study all regimes of stratified turbulence in a unified simulation framework without a break in the paradigms for representation of turbulence. To date, advances in our understanding and the parameterization of turbulence in the stable boundary layer have been hampered by difficulties simulating the strongly stratified regime, and the analysis has primarily been based on field measurements. The content presented here changes that paradigm by demonstrating the ability of direct numerical simulation to address this problem, and by doing so to remove the uncertainty of turbulence models from the analysis. Employing a stably stratified Ekman layer as a simplified physical model of the stable boundary layer, the three stratification regimes observed in nature— weakly, intermediately and strongly stratified—are reproduced, and the data is subsequently used to answer key, long-standing questions. The main part of the book is organized in three sections, namely a comprehensive introduction, numerics, and physics. The thesis ends with a clear and concise conclusion that distills specific implications for the study of the stable boundary layer. This structure emphasizes the physical results, but at the same time gives relevance to the technical aspects of numerical schemes and post-processing tools. The selection of the relevant literature during the introduction, and its use along the work appropriately combines literature from two research communities: fluid dynamics, and boundary-layer meteorology.

Turbulence in Rotating, Stratified and Electrically Conducting Fluids

Turbulence in Rotating, Stratified and Electrically Conducting Fluids
Author: P. A. Davidson
Publisher: Cambridge University Press
Total Pages: 701
Release: 2013-09-12
Genre: Science
ISBN: 1107434343

There are two recurring themes in astrophysical and geophysical fluid mechanics: waves and turbulence. This book investigates how turbulence responds to rotation, stratification or magnetic fields, identifying common themes, where they exist, as well as the essential differences which inevitably arise between different classes of flow. The discussion is developed from first principles, making the book suitable for graduate students as well as professional researchers. The author focuses first on the fundamentals and then progresses to such topics as the atmospheric boundary layer, turbulence in the upper atmosphere, turbulence in the core of the earth, zonal winds in the giant planets, turbulence within the interior of the sun, the solar wind, and turbulent flows in accretion discs. The book will appeal to engineers, geophysicists, astrophysicists and applied mathematicians who are interested in naturally occurring turbulent flows.

An Introduction to Turbulence and its Measurement

An Introduction to Turbulence and its Measurement
Author: P Bradshaw
Publisher: Elsevier
Total Pages: 239
Release: 2013-10-22
Genre: Technology & Engineering
ISBN: 1483140849

An Introduction to Turbulence and Its Measurement is an introductory text on turbulence and its measurement. It combines the physics of turbulence with measurement techniques and covers topics ranging from measurable quantities and their physical significance to the analysis of fluctuating signals, temperature and concentration measurements, and the hot-wire anemometer. Examples of turbulent flows are presented. This book is comprised of eight chapters and begins with an overview of the physics of turbulence, paying particular attention to Newton's second law of motion, the Newtonian viscous fluid, and equations of motion. After a chapter devoted to measurable quantities, the discussion turns to some examples of turbulent flows, including turbulence behind a grid of bars, Couette flow, atmospheric and oceanic turbulence, and heat and mass transfer. The next chapter describes measurement techniques using hot wires, films, and thermistors, as well as Doppler-shift anemometers; glow-discharge or corona-discharge anemometers; pulsed-wire anemometer; and steady-flow techniques for fluctuation measurement. This monograph is intended for post-graduate students of aeronautics and fluid mechanics, but should also be readily understandable to those with a good general background in engineering fluid dynamics.

Turbulent Velocity and Scalar Spectra in Stably Stratified Fluids

Turbulent Velocity and Scalar Spectra in Stably Stratified Fluids
Author: Yih-Ho Pao
Publisher:
Total Pages: 10
Release: 1968
Genre:
ISBN:

From the complete set of two-point covariance equations for the turbulent velocity and temperature fields, the spherically averaged spectra in stably stratified fluids are deduced for the entire locally homogeneous ranges of wave numbers, including buoyancy, inertial, and viscous subranges. The spectral equations are closed with a similarity hypothesis (Pao, 1965, 1968). The predicted spectral behavior in the buoyancy subrange can be summarized as follows: (1) the spectra in weakly stable fluids agree in general, although differ in detail, with those predicted by Bolgiano (1959), Monin (1962), Shur (1962), and Lumley (1964), that the velocity spectra are steeper than k to the -5/3 power and the temperature spectra are less steep than k to the -5/3 power; (2) in strongly stable fluids, both the velocity and the temperature spectra are wavy, which resemble certain spectral measurements in high altitude clear air turbulence (Reiter and Burns, 1966; Pinus, Shur and Vinnichenko, 1966; Crooks, Hoblit and Prophet, 1967). (Author).