Shear Flow in Surface-Oriented Coordinate

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Author :
Publisher : Springer-Verlag
ISBN 13 : 3663052761
Total Pages : 276 pages
Book Rating : 4.6/5 (63 download)

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Book Synopsis Shear Flow in Surface-Oriented Coordinate by : Ernst Heinrich Hirschel

Download or read book Shear Flow in Surface-Oriented Coordinate written by Ernst Heinrich Hirschel and published by Springer-Verlag. This book was released on 2013-07-02 with total page 276 pages. Available in PDF, EPUB and Kindle. Book excerpt: Having worked on problems of three-dimensional boundary-layer flow for more than a decade, the authors decided to publish some of their results and ideas as a book. They believe this is worthwhile to do in spite of the availability of other books on boundary-layer theory. These books have their emphasis mainly on two-dimensional flow, on the modeling of turbulent flow, or on prediction techniques. The present book, on the other hand, is dedicated to the descrip tion of three-dimensional shear flow past realistic configurations and to the provision of formulations for prediction methods. To this end several sets of governing equations for the treatment of high-Reynolds number viscous flows are being discussed, together with approximations of the geometry of general configurations. Thus the book, which gives a uniform representation of the for mulation of the many problems, and not so much a review of the work done so far at different places, is aimed at the perspective in vestigator of three-dimensional viscous-flow problems. The reader should not allow himself to ~e scared off'by the use of tensorial concepts and of the index notation, both not too familiar in classic fluid mechanics. The authors made the experience that the use of these concepts alleviates much the work on realistic flow problems. In the book they have emphasized the use of these concepts and not their mathematical proofs.

Numerical Solutions of the Euler Equations for Steady Flow Problems

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Author :
Publisher : Vieweg+Teubner Verlag
ISBN 13 : 3663068315
Total Pages : 456 pages
Book Rating : 4.6/5 (63 download)

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Book Synopsis Numerical Solutions of the Euler Equations for Steady Flow Problems by : Albrecht Eberle

Download or read book Numerical Solutions of the Euler Equations for Steady Flow Problems written by Albrecht Eberle and published by Vieweg+Teubner Verlag. This book was released on 2013-04-17 with total page 456 pages. Available in PDF, EPUB and Kindle. Book excerpt: The last decade has seen a dramatic increase of our abilities to solve numerically the governing equations of fluid mechanics. In design aerodynamics the classical potential-flow methods have been complemented by higher modelling-level methods. Euler solvers, and for special purposes, already Navier-Stokes solvers are in use. The authors of this book have been working on the solution of the Euler equations for quite some time. While the first two of us have worked mainly on algorithmic problems, the third has been concerned off and on with modelling and application problems of Euler methods. When we started to write this book we decided to put our own work at the center of it. This was done because we thought, and we leave this to the reader to decide, that our work has attained over the years enough substance in order to justify a book. The problem which we soon faced, was that the field still is moving at a fast pace, for instance because hyper sonic computation problems became more and more important.

100 Volumes of 'Notes on Numerical Fluid Mechanics'

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Author :
Publisher : Springer Science & Business Media
ISBN 13 : 3540708057
Total Pages : 507 pages
Book Rating : 4.5/5 (47 download)

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Book Synopsis 100 Volumes of 'Notes on Numerical Fluid Mechanics' by : Ernst Heinrich Hirschel

Download or read book 100 Volumes of 'Notes on Numerical Fluid Mechanics' written by Ernst Heinrich Hirschel and published by Springer Science & Business Media. This book was released on 2009-05-19 with total page 507 pages. Available in PDF, EPUB and Kindle. Book excerpt: In a book that will be required reading for engineers, physicists, and computer scientists, the editors have collated a number of articles on fluid mechanics, written by some of the world’s leading researchers and practitioners in this important subject area.

Basics of Aerothermodynamics

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Author :
Publisher : Springer
ISBN 13 : 3319143735
Total Pages : 450 pages
Book Rating : 4.3/5 (191 download)

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Book Synopsis Basics of Aerothermodynamics by : Ernst Heinrich Hirschel

Download or read book Basics of Aerothermodynamics written by Ernst Heinrich Hirschel and published by Springer. This book was released on 2015-01-06 with total page 450 pages. Available in PDF, EPUB and Kindle. Book excerpt: This successful book gives an introduction to the basics of aerothermodynamics, as applied in particular to winged re-entry vehicles and airbreathing hypersonic cruise and acceleration vehicles. The book gives a review of the issues of transport of momentum, energy and mass, real-gas effects as well as inviscid and viscous flow phenomena. In this second, revised edition the chapters with the classical topics of aerothermodynamics more or less were left untouched. The access to some single topics of practical interest was improved. Auxiliary chapters were put into an appendix. The recent successful flights of the X-43A and the X-51A indicate that the dawn of sustained airbreathing hypersonic flight now has arrived. This proves that the original approach of the book to put emphasis on viscous effects and the aerothermodynamics of radiation-cooled vehicle surfaces was timely. This second, revised edition even more accentuates these topics. A new, additional chapter treats examples of viscous thermal surface effects. Partly only very recently obtained experimental and numerical results show the complexity of such phenomena (dependence of boundary-layer stability, skin friction, boundary-layer thicknesses, and separation on the thermal state of the surface) and their importance for airbreathing hypersonic flight vehicles, but also for any other kind of hypersonic vehicle.

Boundary-Layer Theory

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Publisher : Springer Science & Business Media
ISBN 13 : 9783540662709
Total Pages : 840 pages
Book Rating : 4.6/5 (627 download)

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Book Synopsis Boundary-Layer Theory by : Herrmann Schlichting

Download or read book Boundary-Layer Theory written by Herrmann Schlichting and published by Springer Science & Business Media. This book was released on 2003-05-20 with total page 840 pages. Available in PDF, EPUB and Kindle. Book excerpt: A new edition of the almost legendary textbook by Schlichting completely revised by Klaus Gersten is now available. This book presents a comprehensive overview of boundary-layer theory and its application to all areas of fluid mechanics, with emphasis on the flow past bodies (e.g. aircraft aerodynamics). It contains the latest knowledge of the subject based on a thorough review of the literature over the past 15 years. Yet again, it will be an indispensable source of inexhaustible information for students of fluid mechanics and engineers alike.

Numerical and Phyical Aspects of Aerodynamic Flow III

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Author :
Publisher : Springer Science & Business Media
ISBN 13 : 1461249260
Total Pages : 487 pages
Book Rating : 4.4/5 (612 download)

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Book Synopsis Numerical and Phyical Aspects of Aerodynamic Flow III by : T. Cebeci

Download or read book Numerical and Phyical Aspects of Aerodynamic Flow III written by T. Cebeci and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 487 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Third Symposium on Numerical and Physical Aspects of Aerodynamic Flows, like its immediate predecessor, was organized with emphasis on the calculation of flows relevant to aircraft, ships, and missiles. Fifty-five papers and 20 brief communications were presented at the Symposium, which was held at the California State University at Long Beach from 21 to 24 January 1985. A panel discussion was chaired by A. M. O. Smith and includeq state ments by T. T. Huang, C. E. lobe, l. Nielsen, and C. K. Forester on priorities for future research. The first lecture in memory of Professor Keith Stewartson was delivered by J. T. Stuart and is reproduced in this volume together with a selection of the papers presented at the Symposium. In Volume II of this series, papers were selected so as to provide a clear indication of the range of procedures available to represent two-dimensional flows, their physical foundation, and their predictive ability. In this volume, the emphasis is on three-dimensional flows with a section of five papers concerned with unsteady flows and a section of seven papers on three dimensional flows: The papers deal mainly with calculation methods and encompass subsonic and transonic, attached and separated flows. The selec tion has been made so as to fulfill the same purpose for three-dimensional flows as did Volume II for two-dimensional flows.

Three-Dimensional Attached Viscous Flow

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Author :
Publisher : Springer Science & Business Media
ISBN 13 : 3642413781
Total Pages : 396 pages
Book Rating : 4.6/5 (424 download)

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Book Synopsis Three-Dimensional Attached Viscous Flow by : Ernst Heinrich Hirschel

Download or read book Three-Dimensional Attached Viscous Flow written by Ernst Heinrich Hirschel and published by Springer Science & Business Media. This book was released on 2013-10-29 with total page 396 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Viscous Flow Applications

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Author :
Publisher : Springer Science & Business Media
ISBN 13 : 3642836836
Total Pages : 195 pages
Book Rating : 4.6/5 (428 download)

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Book Synopsis Viscous Flow Applications by : Carlos A. Brebbia

Download or read book Viscous Flow Applications written by Carlos A. Brebbia and published by Springer Science & Business Media. This book was released on 2013-03-12 with total page 195 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Boundary Element Method has now become a powerful tool of engineering analysis and is routinely applied for the solution of elastostatics and potential problems. More recently research has concentrated on solving a large variety of non-linear and time dependent applications and in particular the method has been developed for viscous fluid flow problems. This book presents the state of the art on the solution of viscous flow using boundary elements and discusses different current approaches which have been validated by numerical experiments. . Chapter 1 of the book presents a brief review of previous work on viscous flow simulation and in particular gives an up-to-date list of the most important BEM references in the field. Chapter 2 reviews the governing equations for general viscous flow, including compressibility. The authors present a compre hensive treatment of the different cases and their formulation in terms of boundary integral equations. This work has been the result of collaboration between Computational Mechanics Institute of Southampton and Massa chusetts Institute of Technology researchers. Chapter 3 describes the gen eralized formulation for unsteady viscous flow problems developed over many years at Georgia Institute of Technology. This formulation has been extensively applied to solve aer09ynamic problems.

Boundary-Layer Theory

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Author :
Publisher : Springer
ISBN 13 : 366252919X
Total Pages : 814 pages
Book Rating : 4.6/5 (625 download)

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Book Synopsis Boundary-Layer Theory by : Hermann Schlichting (Deceased)

Download or read book Boundary-Layer Theory written by Hermann Schlichting (Deceased) and published by Springer. This book was released on 2016-10-04 with total page 814 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Nonlinear Hyperbolic Equations — Theory, Computation Methods, and Applications

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Author :
Publisher : Springer Science & Business Media
ISBN 13 : 3322878694
Total Pages : 729 pages
Book Rating : 4.3/5 (228 download)

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Book Synopsis Nonlinear Hyperbolic Equations — Theory, Computation Methods, and Applications by : Josef Ballmann

Download or read book Nonlinear Hyperbolic Equations — Theory, Computation Methods, and Applications written by Josef Ballmann and published by Springer Science & Business Media. This book was released on 2013-03-08 with total page 729 pages. Available in PDF, EPUB and Kindle. Book excerpt: On the occasion of the International Conference on Nonlinear Hyperbolic Problems held in St. Etienne, France, 1986 it was decided to start a two years cycle of conferences on this very rapidly expanding branch of mathematics and it·s applications in Continuum Mechanics and Aerodynamics. The second conference toolc place in Aachen, FRG, March 14-18, 1988. The number of more than 200 participants from more than 20 countries all over the world and about 100 invited and contributed papers, well balanced between theory, numerical analysis and applications, do not leave any doubt that it was the right decision to start this cycle of conferences, of which the third will be organized in Sweden in 1990. ThiS volume contains sixty eight original papers presented at the conference, twenty two cif them dealing with the mathematical theory, e.g. existence, uniqueness, stability, behaviour of solutions, physical modelling by evolution equations. Twenty two articles in numerical analysis are concerned with stability and convergence to the physically relevant solutions such as schemes especially deviced for treating shoclcs, contact discontinuities and artificial boundaries. Twenty four papers contain multidimensional computational applications to nonlinear waves in solids, flow through porous media and compressible fluid flow including shoclcs, real gas effects, multiphase phenomena, chemical reactions etc. The editors and organizers of the Second International Conference on Hyperbolic Problems would lilce to thanlc the Scientific Committee for the generous support of recommending invited lectures and selecting the contributed papers of the conference.

Numerical Simulation of Compressible Navier-Stokes Flows

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Author :
Publisher : Springer Science & Business Media
ISBN 13 : 3322878732
Total Pages : 350 pages
Book Rating : 4.3/5 (228 download)

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Book Synopsis Numerical Simulation of Compressible Navier-Stokes Flows by : Marie Odile Bristeau

Download or read book Numerical Simulation of Compressible Navier-Stokes Flows written by Marie Odile Bristeau and published by Springer Science & Business Media. This book was released on 2013-03-08 with total page 350 pages. Available in PDF, EPUB and Kindle. Book excerpt: With the advent of super computers during the last ten years, the numerical simulation of viscous fluid flows modeled by the Navier-Stokes equations is becoming a most useful tool in Aircraft and Engine Design. In fact, compressible Navier-Stokes solvers tend to constitute the basic tools for many industrial applications occuring in the simulation of very complex turbulent and combustion phenomena. In Aerospace Engineering, as an exemple, their mathematical modelization requires reliable and robust methods for solving very stiff non linear partial differential equations. For the above reasons, it was clear that a workshop on this topic would be of interest for the CFD community in order to compare accuracy and efficiency of Navier-Stokes solvers on selected external and internal flow problems using different numerical approaches. The workshop was held on 4-6 December 1985 at Nice, France and organized by INRIA with the sponsorship of the GAMM Committee on Numerical Methods in Fluid Mechanics.

Numerical Simulation of Compressible Euler Flows

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Publisher : Springer Science & Business Media
ISBN 13 : 3322878759
Total Pages : 369 pages
Book Rating : 4.3/5 (228 download)

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Book Synopsis Numerical Simulation of Compressible Euler Flows by : Alain Dervieux

Download or read book Numerical Simulation of Compressible Euler Flows written by Alain Dervieux and published by Springer Science & Business Media. This book was released on 2013-03-08 with total page 369 pages. Available in PDF, EPUB and Kindle. Book excerpt: The numerical simulation of the Euler equations of Fluid Dynamics has been these past few years a challenging problem both for research scientists and aerospace engineers. The increasing interest of more realistic models such as the Euler equations originates in Aerodynamics and also Aerothermics where aerospace applications such as military aircrafts and also space vehicles require accurate and efficient Euler solvers (which can be extended to more complicated modelisations including non-equilibrium chemistry) for su personic and hypersonic flows at high angles of attack and Mach number regimes involving strong shocks and vorticity. This book contains the proceedings of the GAMM Workshop on the Numerical Simu lation of Compressible Euler Flows. that W:LS held at INRIA, Rocquencourt (France), on June 10-13, 1986. The purpose of this event was to compare in terms of accuracy and efficiency several codes for solving compressible inviscid, mainly steady, Euler flows. This workshop was a sequel of the GAMM workshop held in 1979 in Stockholm; this time, though, because of the present strong activity in numerical methods for the Euler equat.ions, the full-potential approach was not included. Since 1979, other Eulpr workshops have been organised, sev eral of them focussed on airfoil calculations; however, many recently derived methods were not presented at these workshops, because, among other reasons, the methods were not far enough developed, or had not been applied to flow problems of sufficient complexity. In fact, the 1986 GAMM workshop scored very high as regards to the novelty of methods.

Direct and Large Eddy Simulation of Turbulence

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Publisher : Springer Science & Business Media
ISBN 13 : 3663001970
Total Pages : 350 pages
Book Rating : 4.6/5 (63 download)

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Book Synopsis Direct and Large Eddy Simulation of Turbulence by : NA Schumann

Download or read book Direct and Large Eddy Simulation of Turbulence written by NA Schumann and published by Springer Science & Business Media. This book was released on 2013-04-17 with total page 350 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains papers presented to a EUROMECH-Colloquium held in Munich, September 30 to October 2, 1985. The Colloquium is number 199 in a series of colloquia inaugurated by the European Mechanics Committee. The meeting was jointly organized by the 'Lehrstuhl fur Stromungsmechanik' at the 'Technische Universitat Munchen' and the 'Institut fur Physik der Atmosphare' of the 'Deutsche Forschungs- und Versuchsanstalt fur Luft- und Raumfahrt' (DFVLR) in Oberpfaffenhofen. 'Direct' and 'large eddy simulation' are terms which denote two closely con nected methods of turbulence research. In a 'direct simulation' (DS), turbu lent motion is simulated by numerically integrating the Navier-Stokes equations in three-dimensional space and as a function of time. Besides ini tial and boundary conditions no physical simplifications are involved. Com puter resources limit the resolution in time and space, though simulations with an order of one million discrete points in space are feasible. The simu lated flow fields can be considered as true realizations of turbulent flow fields and analysed to answer questions on the basic behaviour of turbulence. Direct simulations are valid as long as all the excited scales remain within the band of resolved scales. This means that viscosity must be strong enough to damp out the not resolved scales or the simulation is restricted to a lim ited integration-time interval only. In summary, DS provides a tool to investigate turbulent motions from first principles at least for a finite band of scales.

Super- and Hypersonic Aerodynamics and Heat Transfer

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Author :
Publisher : Routledge
ISBN 13 : 1351412930
Total Pages : 209 pages
Book Rating : 4.3/5 (514 download)

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Book Synopsis Super- and Hypersonic Aerodynamics and Heat Transfer by : V.Z. Parton

Download or read book Super- and Hypersonic Aerodynamics and Heat Transfer written by V.Z. Parton and published by Routledge. This book was released on 2018-03-29 with total page 209 pages. Available in PDF, EPUB and Kindle. Book excerpt: Recent government and commercial efforts to develop orbital and suborbital passenger and transport aircraft have resulted in a burgeoning of new research. The articles in this book, translated from Russian, were contributed by the world's leading authorities on supersonic and hypersonic flows and heat transfer. This superb book addresses the physics and engineering aspects of ultra high-speed aerodynamic problems. Thorough coverage is given to an array of specific problem-solving equations. Super- and Hypersonic Aerodynamics and Heat Transfer will be essential reading for all aeronautical engineers, mechanical engineers, mathematicians, and physicists involved in this exciting field of research.

Fluid Dynamics and Heat Transfer of Turbomachinery

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Author :
Publisher : John Wiley & Sons
ISBN 13 : 9780471855460
Total Pages : 846 pages
Book Rating : 4.8/5 (554 download)

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Book Synopsis Fluid Dynamics and Heat Transfer of Turbomachinery by : Budugur Lakshminarayana

Download or read book Fluid Dynamics and Heat Transfer of Turbomachinery written by Budugur Lakshminarayana and published by John Wiley & Sons. This book was released on 1995-12-15 with total page 846 pages. Available in PDF, EPUB and Kindle. Book excerpt: Over the past three decades, information in the aerospace and mechanical engineering fields in general and turbomachinery in particular has grown at an exponential rate. Fluid Dynamics and Heat Transfer of Turbomachinery is the first book, in one complete volume, to bring together the modern approaches and advances in the field, providing the most up-to-date, unified treatment available on basic principles, physical aspects of the aerothermal field, analysis, performance, theory, and computation of turbomachinery flow and heat transfer. Presenting a unified approach to turbomachinery fluid dynamics and aerothermodynamics, the book concentrates on the fluid dynamic aspects of flows and thermodynamic considerations rather than on those related to materials, structure, or mechanical aspects. It covers the latest material and all types of turbomachinery used in modern-day aircraft, automotive, marine, spacecraft, power, and industrial applications; and there is an entire chapter devoted to modern approaches on computation of turbomachinery flow. An additional chapter on turbine cooling and heat transfer is unique for a turbomachinery book. The author has undertaken a systematic approach, through more than three hundred illustrations, in developing the knowledge base. He uses analysis and data correlation in his discussion of most recent developments in this area, drawn from over nine hundred references and from research projects carried out by various organizations in the United States and abroad. This book is extremely useful for anyone involved in the analysis, design, and testing of turbomachinery. For students, it can be used as a two-semester course of senior undergraduate or graduate study: the first semester dealing with the basic principles and analysis of turbomachinery, the second exploring three-dimensional viscid flows, computation, and heat transfer. Many sections are quite general and applicable to other areas in fluid dynamics and heat transfer. The book can also be used as a self-study guide to those who want to acquire this knowledge. The ordered, meticulous, and unified approach of Fluid Dynamics and Heat Transfer of Turbomachinery should make the specialization of turbomachinery in aerospace and mechanical engineering much more accessible to students and professionals alike, in universities, industry, and government. Turbomachinery theory, performance, and analysis made accessible with a new, unified approach For the first time in nearly three decades, here is a completely up-to-date and unified approach to turbomachinery fluid dynamics and aerothermodynamics. Combining the latest advances, methods, and approaches in the field, Fluid Dynamics and Heat Transfer of Turbomachinery features: The most comprehensive and complete coverage of the fluid dynamics and aerothermodynamics of turbomachinery to date A spotlight on the fluid dynamic aspects of flows and the thermodynamic considerations for turbomachinery (rather than the structural or material aspects) A detailed, step-by-step presentation of the analytical and computational models involved, which allows the reader to easily construct a flowchart from which to operate Critical reviews of all the existing analytical and numerical models, highlighting the advantages and drawbacks of each Comprehensive coverage of turbine cooling and heat transfer, a unique feature for a book on turbomachinery An appendix of basic computation techniques, numerous tables, and listings of common terminology, abbreviations, and nomenclature Broad in scope, yet concise, and drawing on the author's teaching experience and research projects for government and industry, Fluid Dynamics and Heat Transfer of Turbomachinery explains and simplifies an increasingly complex field. It is an invaluable resource for undergraduate and graduate students in aerospace and mechanical engineering specializing in turbomachinery, for research and design engineers, and for all professionals who are—or wish to be—at the cutting edge of this technology.

Scientific and Technical Aerospace Reports

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Publisher :
ISBN 13 :
Total Pages : 716 pages
Book Rating : 4.:/5 (31 download)

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Book Synopsis Scientific and Technical Aerospace Reports by :

Download or read book Scientific and Technical Aerospace Reports written by and published by . This book was released on 1994 with total page 716 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Geometrical Theory of Dynamical Systems and Fluid Flows (revised Edition)

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Author :
Publisher : World Scientific
ISBN 13 : 9814282251
Total Pages : 444 pages
Book Rating : 4.8/5 (142 download)

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Book Synopsis Geometrical Theory of Dynamical Systems and Fluid Flows (revised Edition) by :

Download or read book Geometrical Theory of Dynamical Systems and Fluid Flows (revised Edition) written by and published by World Scientific. This book was released on 2009 with total page 444 pages. Available in PDF, EPUB and Kindle. Book excerpt: "This is an introductory textbook on the geometrical theory of dynamical systems, fluid flows and certain integrable systems. The topics are interdisciplinary and extend from mathematics, mechanics and physics to mechanical engineering, and the approach is very fundamental. The main theme of this book is a unified formulation to understand dynamical evolutions of physical systems within mathematical ideas of Riemannian geometry and Lie groups by using well-known examples. Underlying mathematical concepts include transformation invariance, covariant derivative, geodesic equation and curvature tensors on the basis of differential geometry, theory of Lie groups and integrability. These mathematical theories are applied to physical systems such as free rotation of a top, surface wave of shallow water, action principle in mechanics, diffeomorphic flow of fluids, vortex motions and some integrable systems. In the latest edition, a new formulation of fluid flows is also presented in a unified fashion on the basis of the gauge principle of theoretical physics and principle of least action along with new type of Lagrangians. A great deal of effort has been directed toward making the description elementary, clear and concise, to provide beginners easy access to the topics."-