Asymptotic Modelling Of Fluid Flow Phenomena

Author : Radyadour Kh. Zeytounian
Publisher : Springer Science & Business Media
Page : 560 pages
File Size : 51,9 Mb
Release : 2006-04-10
Category : Science
ISBN : 9780306483868

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Asymptotic Modelling of Fluid Flow Phenomena by Radyadour Kh. Zeytounian Pdf

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.

Author : Radyadour Kh. Zeytounian
Publisher : Springer Science & Business Media
Page : 177 pages
File Size : 49,6 Mb
Release : 2013-12-03
Category : Science
ISBN : 9783642395413

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Five Decades of Tackling Models for Stiff Fluid Dynamics Problems by Radyadour Kh. Zeytounian Pdf

Rationality - as opposed to 'ad-hoc' - and asymptotics - to emphasize the fact that perturbative methods are at the core of the theory - are the two main concepts associated with the Rational Asymptotic Modeling (RAM) approach in fluid dynamics when the goal is to specifically provide useful models accessible to numerical simulation via high-speed computing. This approach has contributed to a fresh understanding of Newtonian fluid flow problems and has opened up new avenues for tackling real fluid flow phenomena, which are known to lead to very difficult mathematical and numerical problems irrespective of turbulence. With the present scientific autobiography the author guides the reader through his somewhat non-traditional career; first discovering fluid mechanics, and then devoting more than fifty years to intense work in the field. Using both personal and general historical contexts, this account will be of benefit to anyone interested in the early and contemporary developments of an important branch of theoretical and computational fluid mechanics.

Author : Anonim
Publisher : Unknown
Page : 332 pages
File Size : 47,5 Mb
Release : 1986
Category : Asymptotic expansions
ISBN : UCSD:31822009490525

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Asymptotic Modelling of Fluid Flows by Anonim Pdf

Author : Radyadour Kh. Zeytounian
Publisher : Springer Science & Business Media
Page : 498 pages
File Size : 48,5 Mb
Release : 2013-06-29
Category : Science
ISBN : 9783662104477

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Theory and Applications of Viscous Fluid Flows by Radyadour Kh. Zeytounian Pdf

This book closes the gap between standard undergraduate texts on fluid mechanics and monographical publications devoted to specific aspects of viscous fluid flows. Each chapter serves as an introduction to a special topic that will facilitate later application by readers in their research work.

Author : R.Kh. Zeytounian
Publisher : Springer
Page : 230 pages
File Size : 47,6 Mb
Release : 2017-12-21
Category : Technology & Engineering
ISBN : 9783319316192

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Challenges in Fluid Dynamics by R.Kh. Zeytounian Pdf

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.

Author : Herbert Steinrück
Publisher : Springer Science & Business Media
Page : 426 pages
File Size : 52,7 Mb
Release : 2012-01-29
Category : Technology & Engineering
ISBN : 9783709104088

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Asymptotic Methods in Fluid Mechanics: Survey and Recent Advances by Herbert Steinrück Pdf

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.

Author : A.B. Movchan
Publisher : Springer
Page : 624 pages
File Size : 47,5 Mb
Release : 2006-05-09
Category : Science
ISBN : 9781402026041

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IUTAM Symposium on Asymptotics, Singularities and Homogenisation in Problems of Mechanics by A.B. Movchan Pdf

Proceedings of the IUTAM Symposium held in Liverpool, UK, 8-11 July 2002

Author : Radyadour Kh. Zeytounian
Publisher : Springer Science & Business Media
Page : 283 pages
File Size : 55,6 Mb
Release : 2012-01-25
Category : Technology & Engineering
ISBN : 9783642207464

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Navier-Stokes-Fourier Equations by Radyadour Kh. Zeytounian Pdf

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.

Author : Vladimir V. Sychev
Publisher : Cambridge University Press
Page : 348 pages
File Size : 43,7 Mb
Release : 1998-08-28
Category : Mathematics
ISBN : 0521455308

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Asymptotic Theory of Separated Flows by Vladimir V. Sychev Pdf

Boundary-layer separation from a rigid body surface is one of the fundamental problems of classical and modern fluid dynamics. The major successes achieved since the late 1960s in the development of the theory of separated flows at high Reynolds numbers are in many ways associated with the use of asymptotic methods. The most fruitful of these has proved to be the method of matched asymptotic expansions, which has been widely used in mechanics and mathematical physics. There have been many papers devoted to different problems in the asymptotic theory of separated flows and we can confidently speak of the appearance of a very productive direction in the development of theoretical hydrodynamics. This book will present this theory in a systematic account. The book will serve as a useful introduction to the theory, and will draw attention to the possibilities that application of the asymptotic approach provides.

Author : Vladimir Nikolaevich Shtern
Publisher : Cambridge University Press
Page : 485 pages
File Size : 42,7 Mb
Release : 2012-10-15
Category : Science
ISBN : 9781107027596

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Counterflows by Vladimir Nikolaevich Shtern Pdf

This book discusses the physical mechanisms that drive counterflows, examining how they emerge, develop, become double and multiple counterflows and comprise both global and local circulations. Counterflows play an important role in nature and technology. A natural example is the Gulf Stream and the opposite flow in the ocean depths. Technological applications include hydrocyclones, vortex tubes and vortex combustors. These elongated counterflows are wildly turbulent but survive intense mixing, a seeming paradox. Local counterflows, whose spatial extent is small compared with that of surrounding flows, occur behind bluff bodies and in swirling streams. The latter are often referred to as vortex breakdown bubbles, which occur in tornadoes and above delta wings. Most scale counterflows are cosmic bipolar jets. Most miniature counterflows occur in capillary menisci of electrosprays and fuel atomisers.

Author : Radyadour Kh. Zeytounian
Publisher : Springer Science & Business Media
Page : 396 pages
File Size : 55,7 Mb
Release : 2009-07-21
Category : Science
ISBN : 9789048124336

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Convection in Fluids by Radyadour Kh. Zeytounian Pdf

This monograph, entirely devoted to “Convection in Fluids”, presents a unified rational approach of various convective phenomena in fluids (mainly considered as a thermally perfect gas or an expansible liquid), where the main driving mechanism is the buoyancy force (Archimedean thrust) or temperature-dependent surface tension in homogeneities (Marangoni effect). Also, the general mathematical formulation (for instance, in the Bénard problem - heated from below) and the effect of free surface deformation are taken into account. In the case of atmospheric thermal convection, the Coriolis force and stratification effects are also considered. This volume gives a rational and analytical analysis of the above mentioned physical effects on the basis of the full unsteady Navier-Stokes and Fourier (NS-F) equations - for a Newtonian compressible viscous and heat-conducting fluid - coupled with the associated initials (at initial time), boundary (lower-at the solid plane) and free surface (upper-in contact with ambiant air) conditions. This, obviously, is not an easy but a necessary task if we have in mind a rational modelling process, and work within a numerically coherent simulation on a high speed computer.

Author : Radyadour K. Zeytounian
Publisher : Springer Science & Business Media
Page : 295 pages
File Size : 45,9 Mb
Release : 2012-12-06
Category : Technology & Engineering
ISBN : 9783642562150

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Theory and Applications of Nonviscous Fluid Flows by Radyadour K. Zeytounian Pdf

From the reviews: "Researchers in fluid dynamics and applied mathematics will enjoy this book for its breadth of coverage, hands-on treatment of important ideas, many references, and historical and philosophical remarks." Mathematical Reviews

Author : Radyadour Kh. Zeytounian
Publisher : Springer Science & Business Media
Page : 312 pages
File Size : 42,5 Mb
Release : 2005-12-20
Category : Science
ISBN : 3540255494

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Topics in Hyposonic Flow Theory by Radyadour Kh. Zeytounian Pdf

Hyposonic fluid flows, characterized by a low Mach number, are mainly linked with geophysical and environmental fluid flows. In addition they are relevant to engineers because of their connection with aerodynamics. The books brings together insights derived from mathematically rigorous results and combines them with a number of realistic fluid flow situations. Asymptotic analytic solutions for the low-Mach number cases are developed to provide both insights into the underlying physics as well as benchmarks for numerical computations.

Author : Ernst Heinrich Hirschel,Jean Cousteix,Wilhelm Kordulla
Publisher : Springer Science & Business Media
Page : 396 pages
File Size : 42,5 Mb
Release : 2013-10-29
Category : Technology & Engineering
ISBN : 9783642413780

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Three-Dimensional Attached Viscous Flow by Ernst Heinrich Hirschel,Jean Cousteix,Wilhelm Kordulla Pdf

Viscous flow is treated usually in the frame of boundary-layer theory and as two-dimensional flow. Books on boundary layers give at most the describing equations for three-dimensional boundary layers, and solutions often only for some special cases. This book provides basic principles and theoretical foundations regarding three-dimensional attached viscous flow. Emphasis is put on general three-dimensional attached viscous flows and not on three-dimensional boundary layers. This wider scope is necessary in view of the theoretical and practical problems to be mastered in practice. The topics are weak, strong, and global interaction, the locality principle, properties of three-dimensional viscous flow, thermal surface effects, characteristic properties, wall compatibility conditions, connections between inviscid and viscous flow, flow topology, quasi-one- and two-dimensional flows, laminar-turbulent transition and turbulence. Though the primary flight speed range is that of civil air transport vehicles, flows past other flying vehicles up to hypersonic speeds are also considered. Emphasis is put on general three-dimensional attached viscous flows and not on three-dimensional boundary layers, as this wider scope is necessary in view of the theoretical and practical problems that have to be overcome in practice. The specific topics covered include weak, strong, and global interaction; the locality principle; properties of three-dimensional viscous flows; thermal surface effects; characteristic properties; wall compatibility conditions; connections between inviscid and viscous flows; flow topology; quasi-one- and two-dimensional flows; laminar-turbulent transition; and turbulence. Detailed discussions of examples illustrate these topics and the relevant phenomena encountered in three-dimensional viscous flows. The full governing equations, reference-temperature relations for qualitative considerations and estimations of flow properties, and coordinates for fuselages and wings are also provided. Sample problems with solutions allow readers to test their understanding.

Author : Haym Benaroya,Timothy Wei
Publisher : Springer Science & Business Media
Page : 524 pages
File Size : 54,9 Mb
Release : 2012-12-06
Category : Technology & Engineering
ISBN : 9789400709959

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IUTAM Symposium on Integrated Modeling of Fully Coupled Fluid Structure Interactions Using Analysis, Computations and Experiments by Haym Benaroya,Timothy Wei Pdf

This plenary paper and the accompanying presentation have highlighted field problems involving fluid-structure interaction over a wide span of Navy operations. Considering the vast size and versatility of the Navy's inventory, the cases presented represent examples of a much larger problem. But even this limited set provides sufficient evidence that fluid-structure interaction does hinder the Navy's ability to accomplish its missions. This survey has also established that there are no accurate and generally applicable design tools for addressing these problems. In the majority of cases the state-of-practice is to either make ad-hoc adjustments and estimates based on historical evidence, or conduct expensive focused tests directed at each specific problem and/or candidate solution. Unfortunately, these approaches do not provide insight into the fundamental problem, and neither can be considered reliable regarding their likelihood of success. So the opportunities for applying computational fluid-structure interaction modeling to Navy problems appear limitless. Scenarios range from the "simple" resonant strumming of underwater and in-air cables, to the "self-contained" flow field and vibration of aircraft/ordnance bodies at various Mach numbers, to violent underwater transient detonations and local hull structural collapse. Generally applicable and computationally tractable design-oriented models for these phenomena are of course still far in the future. But the Navy has taken the first steps in that direction by sponsoring specialized numerical models, validation experiments tailored for specific applications, and conferences such as this one.