A Unified View of Global Instability of Compressible Flow Over Open Cavities

A Unified View of Global Instability of Compressible Flow Over Open Cavities
Author:
Publisher:
Total Pages: 56
Release: 2006
Genre:
ISBN:

This report results from a contract tasking Nu-modeling Inc, as follows: The contractor will investigate the global linear instability of three- dimensional flow over an open cavity to develop a unified framework for understanding and controlling cavity-driven instabilities, Specifically the contractor will: (1) Perform global instability analyses of the flow field in two-dimensional open cavities: (2) Investigate linear and nonlinear interaction of the modes using simplified models and compare with DNS results, and assess the limits of usefulness of existing empirical prediction models, (3) Perform two-dimensional DNS and global instability analysis of full-bay open-cavity models, Compare results with DNS and/or experiment, and propose adjustments of the empirical models, (4) Perform three-dimensional DNS in empty open cavities and classify global instabilities as functions of flow and geometric parameters, (5) Propose theoretically founded flow-control strategies for realistic geometries and flow conditions.

A Unified View of Global Instabilities of Compressible Flow Over Open Cavities

A Unified View of Global Instabilities of Compressible Flow Over Open Cavities
Author:
Publisher:
Total Pages: 7
Release: 2005
Genre:
ISBN:

We report progress in our ongoing effort to compute and understand the three-dimensional instabilities (resonance) of open cavity flows from incompressible to supersonic speeds. In particular, our work is aimed at regimes where significant interactions occur between the shear layer spanning the cavity and the recirculating flow within the cavity, as encountered in many experiments and numerical simulations reported in the literature. Complementary methodologies for extracting information about global instabilities (including their receptivity and optimal control) of two- and three-dimensional cavity flows have been developed. We present here some sample calculations that show that for a low Mach number cavity with a length-to-depth ratio of two, the two-dimensional steady flow is unstable to three-dimensional (spanwise homogeneous) disturbances that consist of spanwise modulation of the recirculating vortex interior to the cavity. The oscillations are unstable over a narrow band of spanwise wavelengths comparable to the cavity depth. They are oscillatory in time, but with a very slow frequency that is about ten times slower than the incipient two-dimensional Rossiter instability. Instability seems to be related to cellular patterns observed in surface streamline patterns on cavity bottoms in some previous experiments.

An Investigation of Compressible Flows Over Open Cavities Including Shear Layer Thickness Effects

An Investigation of Compressible Flows Over Open Cavities Including Shear Layer Thickness Effects
Author: S. G. Kelly
Publisher:
Total Pages: 44
Release: 1984
Genre:
ISBN:

The mathematical modelling of the two dimensional compressible for over an open rectangular cavity is considered. The flow field is divided into three regions: (1) the two-dimensional compressible flow outside the cavity which is governed by a convective wave equation; (2) the two dimensional flow inside the cavity for which the mean flow is neglected and thus is governed by the wave equation; and (3) the shear layer spanning the cavity which is the major focus of the investigation. the work of Tam and Block is followed and a method for determining the discrete frequencies of shear layer oscillation is determined including shear layer thickness effects and assuming that the shear layer grows downstream. a line source placed at the trailing edge is used to model the trailing edge interaction process and the analysis of a shear layer excited by a reflected wave of arbitrary frequency is considered. Since the mean flow in the shear layer is nonuniform, standard stability procedures do not work. The nonparallel effects are assumed to be weak. The method of multiple scales is used to analyze the nonparallel stability of the shear layer. The stability characteristics of the shear layer are used in an equation developed by Tam and Block to predict discrete oscillation frequencies. The numerical methods for solving the equations are discussed. Originator-supplied keywords include: Open cavity flows; Nonparallel stability; and Multiple scales.

Computational Modelling of Bifurcations and Instabilities in Fluid Dynamics

Computational Modelling of Bifurcations and Instabilities in Fluid Dynamics
Author: Alexander Gelfgat
Publisher: Springer
Total Pages: 524
Release: 2018-07-06
Genre: Technology & Engineering
ISBN: 3319914944

Instabilities of fluid flows and the associated transitions between different possible flow states provide a fascinating set of problems that have attracted researchers for over a hundred years. This book addresses state-of-the-art developments in numerical techniques for computational modelling of fluid instabilities and related bifurcation structures, as well as providing comprehensive reviews of recently solved challenging problems in the field.

Hydrodynamic Instabilities

Hydrodynamic Instabilities
Author: François Charru
Publisher: Cambridge University Press
Total Pages: 411
Release: 2011-06-30
Genre: Science
ISBN: 1139500546

The instability of fluid flows is a key topic in classical fluid mechanics because it has huge repercussions for applied disciplines such as chemical engineering, hydraulics, aeronautics, and geophysics. This modern introduction is written for any student, researcher, or practitioner working in the area, for whom an understanding of hydrodynamic instabilities is essential. Based on a decade's experience of teaching postgraduate students in fluid dynamics, this book brings the subject to life by emphasizing the physical mechanisms involved. The theory of dynamical systems provides the basic structure of the exposition, together with asymptotic methods. Wherever possible, Charru discusses the phenomena in terms of characteristic scales and dimensional analysis. The book includes numerous experimental studies, with references to videos and multimedia material, as well as over 150 exercises which introduce the reader to new problems.

Dynamic Mode Decomposition

Dynamic Mode Decomposition
Author: J. Nathan Kutz
Publisher: SIAM
Total Pages: 241
Release: 2016-11-23
Genre: Science
ISBN: 1611974496

Data-driven dynamical systems is a burgeoning field?it connects how measurements of nonlinear dynamical systems and/or complex systems can be used with well-established methods in dynamical systems theory. This is a critically important new direction because the governing equations of many problems under consideration by practitioners in various scientific fields are not typically known. Thus, using data alone to help derive, in an optimal sense, the best dynamical system representation of a given application allows for important new insights. The recently developed dynamic mode decomposition (DMD) is an innovative tool for integrating data with dynamical systems theory. The DMD has deep connections with traditional dynamical systems theory and many recent innovations in compressed sensing and machine learning. Dynamic Mode Decomposition: Data-Driven Modeling of Complex Systems, the first book to address the DMD algorithm, presents a pedagogical and comprehensive approach to all aspects of DMD currently developed or under development; blends theoretical development, example codes, and applications to showcase the theory and its many innovations and uses; highlights the numerous innovations around the DMD algorithm and demonstrates its efficacy using example problems from engineering and the physical and biological sciences; and provides extensive MATLAB code, data for intuitive examples of key methods, and graphical presentations.

Fundamentals of Cavitation

Fundamentals of Cavitation
Author: Jean-Pierre Franc
Publisher: Springer Science & Business Media
Total Pages: 321
Release: 2006-01-22
Genre: Science
ISBN: 1402022336

This book treats cavitation, which is a unique phenomenon in the field of hyd- dynamics, although it can occur in any hydraulic machinery such as pumps, propellers, artificial hearts, and so forth. Cavitation is generated not only in water, but also in any kind of fluid, such as liquid hydrogen. The generation of cavitation can cause severe damage in hydraulic machinery. Therefore, the prevention of cavitation is an important concern for designers of hydraulic machinery. On the contrary, there is great potential to utilize cavitation in various important applications, such as environmental protection. There have been several books published on cavitation, including one by the same authors. This book differs from those previous ones, in that it is both more physical and more theoretical. Any theoretical explanation of the cavitation phenomenon is rather difficult, but the authors have succeeded in explaining it very well, and a reader can follow the equations easily. It is an advantage in reading this book to have some understanding of the physics of cavitation. Therefore, this book is not an introductory text, but a book for more advanced study. However, this does not mean that this book is too difficult for a beginner, because it explains the cavitation phenomenon using many figures. Therefore, even a beginner on cavitation can read and can understand what cavitation is. If the student studies through this book (with patience), he or she can become an expert on the physics of cavitation.

Homogeneous Turbulence Dynamics

Homogeneous Turbulence Dynamics
Author: Pierre Sagaut
Publisher: Springer
Total Pages: 912
Release: 2018-03-23
Genre: Science
ISBN: 3319731629

This book provides state-of-the-art results and theories in homogeneous turbulence, including anisotropy and compressibility effects with extension to quantum turbulence, magneto-hydodynamic turbulence and turbulence in non-newtonian fluids. Each chapter is devoted to a given type of interaction (strain, rotation, shear, etc.), and presents and compares experimental data, numerical results, analysis of the Reynolds stress budget equations and advanced multipoint spectral theories. The role of both linear and non-linear mechanisms is emphasized. The link between the statistical properties and the dynamics of coherent structures is also addressed. Despite its restriction to homogeneous turbulence, the book is of interest to all people working in turbulence, since the basic physical mechanisms which are present in all turbulent flows are explained. The reader will find a unified presentation of the results and a clear presentation of existing controversies. Special attention is given to bridge the results obtained in different research communities. Mathematical tools and advanced physical models are detailed in dedicated chapters.

Multiphase Flow Handbook, Second Edition

Multiphase Flow Handbook, Second Edition
Author: Efstathios Michaelides
Publisher: CRC Press
Total Pages: 1559
Release: 2016-10-26
Genre: Science
ISBN: 1315354624

The Multiphase Flow Handbook, Second Edition is a thoroughly updated and reorganized revision of the late Clayton Crowe’s work, and provides a detailed look at the basic concepts and the wide range of applications in this important area of thermal/fluids engineering. Revised by the new editors, Efstathios E. (Stathis) Michaelides and John D. Schwarzkopf, the new Second Edition begins with two chapters covering fundamental concepts and methods that pertain to all the types and applications of multiphase flow. The remaining chapters cover the applications and engineering systems that are relevant to all the types of multiphase flow and heat transfer. The twenty-one chapters and several sections of the book include the basic science as well as the contemporary engineering and technological applications of multiphase flow in a comprehensive way that is easy to follow and be understood. The editors created a common set of nomenclature that is used throughout the book, allowing readers to easily compare fundamental theory with currently developing concepts and applications. With contributed chapters from sixty-two leading experts around the world, the Multiphase Flow Handbook, Second Edition is an essential reference for all researchers, academics and engineers working with complex thermal and fluid systems.