Asymptotic Methods in Fluid Mechanics: Survey and Recent Advances

Asymptotic Methods in Fluid Mechanics: Survey and Recent Advances PDF Author: Herbert Steinrück
Publisher: Springer Science & Business Media
ISBN: 3709104084
Category : Technology & Engineering
Languages : en
Pages : 426

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Book Description
A survey of asymptotic methods in fluid mechanics and applications is given including high Reynolds number flows (interacting boundary layers, marginal separation, turbulence asymptotics) and low Reynolds number flows as an example of hybrid methods, waves as an example of exponential asymptotics and multiple scales methods in meteorology.

Asymptotic Methods in Fluid Mechanics: Survey and Recent Advances

Asymptotic Methods in Fluid Mechanics: Survey and Recent Advances PDF Author: Herbert Steinrück
Publisher: Springer Science & Business Media
ISBN: 3709104084
Category : Technology & Engineering
Languages : en
Pages : 426

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Book Description
A survey of asymptotic methods in fluid mechanics and applications is given including high Reynolds number flows (interacting boundary layers, marginal separation, turbulence asymptotics) and low Reynolds number flows as an example of hybrid methods, waves as an example of exponential asymptotics and multiple scales methods in meteorology.

A Dynamical Perspective on the ɸ4 Model

A Dynamical Perspective on the ɸ4 Model PDF Author: Panayotis G. Kevrekidis
Publisher: Springer
ISBN: 3030118398
Category : Science
Languages : en
Pages : 328

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Book Description
This book presents a careful selection of the most important developments of the \phi^4 model, offering a judicious summary of this model with a view to future prospects and the challenges ahead. Over the past four decades, the \phi^4 model has been the basis for a broad array of developments in the physics and mathematics of nonlinear waves. From kinks to breathers, from continuum media to discrete lattices, from collisions of solitary waves to spectral properties, and from deterministic to stochastic models of \phi^4 (and \phi^6, \phi^8, \phi^12 variants more recently), this dynamical model has served as an excellent test bed for formulating and testing the ideas of nonlinear science and solitary waves.

Boundary-Layer Theory

Boundary-Layer Theory PDF Author: Hermann Schlichting (Deceased)
Publisher: Springer
ISBN: 366252919X
Category : Technology & Engineering
Languages : en
Pages : 814

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Book Description
This new edition of the near-legendary textbook by Schlichting and revised by Gersten presents a comprehensive overview of boundary-layer theory and its application to all areas of fluid mechanics, with particular emphasis on the flow past bodies (e.g. aircraft aerodynamics). The new edition features an updated reference list and over 100 additional changes throughout the book, reflecting the latest advances on the subject.

Recent Studies inPerturbation Theory

Recent Studies inPerturbation Theory PDF Author: Dimo Uzunov
Publisher: BoD – Books on Demand
ISBN: 953513261X
Category : Technology & Engineering
Languages : en
Pages : 202

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Book Description
The book contains seven chapters written by noted experts and young researchers who present their recent studies of both pure mathematical problems of perturbation theories and application of perturbation methods to the study of the important topic in physics, for example, renormalization group theory and applications to basic models in theoretical physics (Y. Takashi), the quantum gravity and its detection and measurement (F. Bulnes), atom-photon interactions (E. G. Thrapsaniotis), treatment of spectra and radiation characteristics by relativistic perturbation theory (A. V. Glushkov et al), and Green's function theory and some applications (Jing Huang). The pure mathematical issues are related to the problem of generalization of the boundary layer function method for bisingularly perturbed differential equations (K. Alymkulov and D. A. Torsunov) and to the development of new homotopy asymptotic methods and some of their applications (Baojian Hong).

Mechanics of Flow Similarities

Mechanics of Flow Similarities PDF Author: Claus Weiland
Publisher: Springer Nature
ISBN: 303042930X
Category : Science
Languages : en
Pages : 199

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Book Description
The mechanics of similarity encompasses the analysis of dimensions, performed by various procedures, the gasdynamic similarity and the model technology. The analysis of dimensions delivers the dimensionless numbers by which specific physical challenges can be described with a reduced number of variables. Thereby the assessment of physical problems is facilitated. For fluid dynamics and all sorts of heat transfer the discipline of the mechanics of similarity was so important in the past, that the historical background is highlighted of all the persons who have contributed to the development of this discipline. The goal of the classical gasdynamic similarity was to find rules, which enables the aerodynamic engineer to perform transformations from existing flow fields to others, which meet geometrical and other specific flow field parameters. Most of these rules and findings do no longer play a role today, because a lot of potent experimental and theoretical/numerical methods are now available. This problem is addressed in the book. A recent investigation regarding the longitudinal aerodynamics of space vehicles has revealed, that there exist other astonishing similarities for hypersonic and supersonic flight Mach numbers. It seems, that obviously most of the longitudinal aerodynamics is independent from the geometrical configurations of the space vehicle considered, if a simple transformation is applied. A section of this book is devoted to these new findings.

Progress in Turbulence and Wind Energy IV

Progress in Turbulence and Wind Energy IV PDF Author: Martin Oberlack
Publisher: Springer Science & Business Media
ISBN: 3642289681
Category : Technology & Engineering
Languages : en
Pages : 299

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Book Description
This fourth issue on "progress in turbulence" is based on the fourth ITI conference (ITI interdisciplinary turbulence initiative), which took place in Bertinoro, North Italy. Leading researchers from the engineering and physical sciences presented latest results in turbulence research. Basic as well as applied research is driven by the rather notorious difficult and essentially unsolved problem of turbulence. In this collection of contributions clear progress can be seen in different aspects, ranging from new quality of numerical simulations to new concepts of experimental investigations and new theoretical developments. The importance of turbulence is shown for a wide range of applications including: combustion, energy, flow control, urban flows, are few examples found in this volume. A motivation was to bring fundamentals of turbulence in connection with renewable energy. This lead us to add a special topic relevant to the impact of turbulence on the wind energy conversion. The structure of the present book is as such that contributions have been bundled according to covering topics i.e. I Basic Turbulence Aspects, II Particle Laden Flows, III Modeling and Simulations, IV, Experimental Methods, V Special Flows, VI Atmospheric Boundary Layer, VII Boundary Layer, VIII Wind Energy and IX Convection. This book is dedicated to the memory of Prof. Tim Nickels. Shortly after giving an invited lecture at the 4th ITI conference, the turbulence community lost a world-class scientist, a friend and devoted family man.

Archives of Mechanics

Archives of Mechanics PDF Author:
Publisher:
ISBN:
Category : Mechanics, Applied
Languages : en
Pages : 542

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Book Description


Navier-Stokes-Fourier Equations

Navier-Stokes-Fourier Equations PDF Author: Radyadour Kh. Zeytounian
Publisher: Springer Science & Business Media
ISBN: 3642207456
Category : Technology & Engineering
Languages : en
Pages : 283

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Book Description
This research monograph deals with a modeling theory of the system of Navier-Stokes-Fourier equations for a Newtonian fluid governing a compressible viscous and heat conducting flows. The main objective is threefold. First , to 'deconstruct' this Navier-Stokes-Fourier system in order to unify the puzzle of the various partial simplified approximate models used in Newtonian Classical Fluid Dynamics and this, first facet, have obviously a challenging approach and a very important pedagogic impact on the university education. The second facet of the main objective is to outline a rational consistent asymptotic/mathematical theory of the of fluid flows modeling on the basis of a typical Navier-Stokes-Fourier initial and boundary value problem. The third facet is devoted to an illustration of our rational asymptotic/mathematical modeling theory for various technological and geophysical stiff problems from: aerodynamics, thermal and thermocapillary convections and also meteofluid dynamics.

Recent Advances in Differential Equations

Recent Advances in Differential Equations PDF Author: H-H Dai
Publisher: CRC Press
ISBN: 1000724549
Category : Mathematics
Languages : en
Pages : 260

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Book Description
The First Pan-China Conference on Differential Equations was held in Kunming, China in June of 1997. Researchers from around the world attended-including representatives from the US, Canada, and the Netherlands-but the majority of the speakers hailed from China and Hong Kong. This volume contains the plenary lectures and invited talks presented at that conference, and provides an excellent view of the research on differential equations being carried out in China. Most of the subjects addressed arose from actual applications and cover ordinary and partial differential equations. Topics include:

A Survey of Preconditioned Iterative Methods

A Survey of Preconditioned Iterative Methods PDF Author: Are Magnus Bruaset
Publisher: Routledge
ISBN: 1351469371
Category : Mathematics
Languages : en
Pages : 175

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Book Description
The problem of solving large, sparse, linear systems of algebraic equations is vital in scientific computing, even for applications originating from quite different fields. A Survey of Preconditioned Iterative Methods presents an up to date overview of iterative methods for numerical solution of such systems. Typically, the methods considered are w