Fluid Dynamics  Asymptotic problems of fluid dynamics Book

Fluid Dynamics Asymptotic problems of fluid dynamics


  • Author : Anatoliĭ Ivanovich Ruban
  • Publisher : Oxford University Press, USA
  • Release Date : 2015
  • Genre: Science
  • Pages : 331
  • ISBN 10 : 9780199681747
  • Total Read : 83
  • File Size : 12,5 Mb

DOWNLOAD BOOK
Fluid Dynamics Asymptotic problems of fluid dynamics Summary:

Annotation In this second part the reader is introduced to asymptotic methods. These are now an inherent part of applied mathematics, and are used in different branches of physics, but it was fluid dynamics where asymptotic techniques were first introduced.

Fluid Dynamics Book

Fluid Dynamics


  • Author : Anatoly I. Ruban
  • Publisher : OUP Oxford
  • Release Date : 2015-08-20
  • Genre: Science
  • Pages : 320
  • ISBN 10 : 9780191503979
  • Total Read : 87
  • File Size : 10,9 Mb

DOWNLOAD BOOK
Fluid Dynamics Summary:

This is the second volume in a four-part series on fluid dynamics: Part 1. Classical Fluid Dynamics Part 2. Asymptotic Problems of Fluid Dynamics Part 3. Boundary Layers Part 4. Hydrodynamic Stability Theory The series is designed to give a comprehensive and coherent description of fluid dynamics, starting with chapters on classical theory suitable for an introductory undergraduate lecture course, and then progressing through more advanced material up to the level of modern research in the field. In Part 2 the reader is introduced to asymptotic methods, and their applications to fluid dynamics. Firstly, it discusses the mathematical aspects of the asymptotic theory. This is followed by an exposition of the results of inviscid flow theory, starting with subsonic flows past thin aerofoils. This includes unsteady flow theory and the analysis of separated flows. The authors then consider supersonic flow past a thin aerofoil, where the linear approximation leads to the Ackeret formula for the pressure. They also discuss the second order Buzemann approximation, and the flow behaviour at large distances from the aerofoil. Then the properties of transonic and hypersonic flows are examined in detail. Part 2 concludes with a discussion of viscous low-Reynolds-number flows. Two classical problems of the low-Reynolds-number flow theory are considered, the flow past a sphere and the flow past a circular cylinder. In both cases the flow analysis leads to a difficulty, known as Stokes paradox. The authors show that this paradox can be resolved using the formalism of matched asymptotic expansions.

Fluid Dynamics Book

Fluid Dynamics


  • Author : Anatoliĭ Ivanovich Ruban
  • Publisher : Oxford University Press, USA
  • Release Date : 2014
  • Genre: Science
  • Pages : 329
  • ISBN 10 : 9780199681730
  • Total Read : 96
  • File Size : 16,8 Mb

DOWNLOAD BOOK
Fluid Dynamics Summary:

This text is designed to give a comprehensive and coherent description of classical fluid dynamics which is suitable for an introductory undergraduate lecture course, and then progressing through more advanced material up to the level of modern research in the field. Topics includeed in this text are: A discussion of Continuum Hypothesis, which is followed by an introduction to macroscopic functions, the velocity vector, pressure, density, and enthalpy ; Properties of a number of flows that are presented by the so-called exact solutions of the Navier-Stokes equations, including the Couette flow between two parallel plates, Hagen-Poiseuille flow through a pipe, and Karman flow above an infinite rotating disk ; Inviscid incompressible flow theory, with particular focus on two-dimensional potential flows ; Compressible flows of perfect gas, including supersonic flows.

Fluid Dynamics Book

Fluid Dynamics


  • Author : Anatoly I. Ruban
  • Publisher : OUP Oxford
  • Release Date : 2014-05-08
  • Genre: Science
  • Pages : 336
  • ISBN 10 : 9780191503962
  • Total Read : 80
  • File Size : 16,8 Mb

DOWNLOAD BOOK
Fluid Dynamics Summary:

This is the first book in a four-part series designed to give a comprehensive and coherent description of Fluid Dynamics, starting with chapters on classical theory suitable for an introductory undergraduate lecture course, and then progressing through more advanced material up to the level of modern research in the field. The present Part 1 consists of four chapters. Chapter 1 begins with a discussion of Continuum Hypothesis, which is followed by an introduction to macroscopic functions, the velocity vector, pressure, density, and enthalpy. We then analyse the forces acting inside a fluid, and deduce the Navier-Stokes equations for incompressible and compressible fluids in Cartesian and curvilinear coordinates. In Chapter 2 we study the properties of a number of flows that are presented by the so-called exact solutions of the Navier-Stokes equations, including the Couette flow between two parallel plates, Hagen-Poiseuille flow through a pipe, and Karman flow above an infinite rotating disk. Chapter 3 is devoted to the inviscid incompressible flow theory, with particular focus on two-dimensional potential flows. These can be described in terms of the "complex potential", allowing the full power of the theory of functions of complex variables to be used. We discuss in detail the method of conformal mapping, which is then used to study various flows of interest, including the flows past Joukovskii aerofoils. The final Chapter 4 is concerned with compressible flows of perfect gas, including supersonic flows. Particular attention is given to the theory of characteristics, which is used, for example, to analyse the Prandtl-Meyer flow over a body surface bend and a corner. Significant attention is also devoted to the shock waves. The chapter concludes with analysis of unsteady flows, including the theory of blast waves.

Challenges in Fluid Dynamics Book

Challenges in Fluid Dynamics


  • Author : R.Kh. Zeytounian
  • Publisher : Springer
  • Release Date : 2017-12-21
  • Genre: Technology & Engineering
  • Pages : 230
  • ISBN 10 : 9783319316192
  • Total Read : 80
  • File Size : 19,8 Mb

DOWNLOAD BOOK
Challenges in Fluid Dynamics Summary:

This monograph presents a synopsis of fluid dynamics based on the personal scientific experience of the author who has contributed immensely to the field. The interested reader will also benefit from the general historical context in which the material is presented in the book. The book covers a wide range of relevant topics of the field, and the main tool being rational asymptotic modelling (RAM) approach. The target audience primarily comprises experts in the field of fluid dynamics, but the book may also be beneficial for graduate students.

Fundamentals of Two Fluid Dynamics Book

Fundamentals of Two Fluid Dynamics


  • Author : Daniel D. Joseph
  • Publisher : Springer Science & Business Media
  • Release Date : 2013-12-01
  • Genre: Mathematics
  • Pages : 445
  • ISBN 10 : 9781461570615
  • Total Read : 79
  • File Size : 20,7 Mb

DOWNLOAD BOOK
Fundamentals of Two Fluid Dynamics Summary:

Two-fluid dynamics is a challenging subject rich in physics and prac tical applications. Many of the most interesting problems are tied to the loss of stability which is realized in preferential positioning and shaping of the interface, so that interfacial stability is a major player in this drama. Typically, solutions of equations governing the dynamics of two fluids are not uniquely determined by the boundary data and different configurations of flow are compatible with the same data. This is one reason why stability studies are important; we need to know which of the possible solutions are stable to predict what might be observed. When we started our studies in the early 1980's, it was not at all evident that stability theory could actu ally work in the hostile environment of pervasive nonuniqueness. We were pleasantly surprised, even astounded, by the extent to which it does work. There are many simple solutions, called basic flows, which are never stable, but we may always compute growth rates and determine the wavelength and frequency of the unstable mode which grows the fastest. This proce dure appears to work well even in deeply nonlinear regimes where linear theory is not strictly valid, just as Lord Rayleigh showed long ago in his calculation of the size of drops resulting from capillary-induced pinch-off of an inviscid jet.

Asymptotic Modelling of Fluid Flow Phenomena Book

Asymptotic Modelling of Fluid Flow Phenomena


  • Author : Radyadour Kh. Zeytounian
  • Publisher : Springer Science & Business Media
  • Release Date : 2006-04-10
  • Genre: Science
  • Pages : 550
  • ISBN 10 : 9780306483868
  • Total Read : 87
  • File Size : 5,5 Mb

DOWNLOAD BOOK
Asymptotic Modelling of Fluid Flow Phenomena Summary:

for the fluctuations around the means but rather fluctuations, and appearing in the following incompressible system of equations: on any wall; at initial time, and are assumed known. This contribution arose from discussion with J. P. Guiraud on attempts to push forward our last co-signed paper (1986) and the main idea is to put a stochastic structure on fluctuations and to identify the large eddies with a part of the probability space. The Reynolds stresses are derived from a kind of Monte-Carlo process on equations for fluctuations. Those are themselves modelled against a technique, using the Guiraud and Zeytounian (1986). The scheme consists in a set of like equations, considered as random, because they mimic the large eddy fluctuations. The Reynolds stresses are got from stochastic averaging over a family of their solutions. Asymptotics underlies the scheme, but in a rather loose hidden way. We explain this in relation with homogenizati- localization processes (described within the §3. 4 ofChapter 3). Ofcourse the mathematical well posedness of the scheme is not known and the numerics would be formidable! Whether this attempt will inspire researchers in the field of highly complex turbulent flows is not foreseeable and we have hope that the idea will prove useful.