On the Flow Around a Sphere at Very Low Reynolds Numbers Including Derivation of Navier-Stokes Equations PDF Download

Author: Harry Gonshor
Publisher:
ISBN:
Category :
Languages : en
Pages : 106

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Manuscript minor thesis in mathematics.

Author: Michael Paul Kanouff
Publisher:
ISBN:
Category :
Languages : en
Pages : 302

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Author: Zekai Akcan
Publisher:
ISBN: 9781423572565
Category :
Languages : en
Pages : 63

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A steady, axially symmetric, incompressible, viscous flow past a rigid sphere is numerically simulated by using a numerical scheme, based on spectral methods. The equations have been reduced to two sets of nonlinear second order partial differential equations in terms of vorticity and stream function. The calculations have been carried out for Reynolds numbers, based on the sphere diameter, in the range 0.1 to 104. The numerical results have verified that there is excellent agreement with Stokes theory at very low Reynolds numbers. At moderate to intermediate Reynolds numbers there is good general agreement with available experimental data and flow visualization pictures. The Reynolds number at which separation occurs is estimated as 20. The approach to boundary-layer behavior with increasing Reynolds numbers is also verified by comparison with potential flow theory and analytical boundary-layer solution.

Author:
Publisher:
ISBN:
Category : Mechanics, Applied
Languages : en
Pages : 520

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Author: United States. National Aeronautics and Space Administration. Scientific and Technical Information Branch
Publisher:
ISBN:
Category : Science
Languages : en
Pages : 1080

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Author: B. S. Mazumder
Publisher: CRC Press
ISBN: 1000878058
Category : Technology & Engineering
Languages : en
Pages : 661

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This book covers fluid dynamics and fluvial processes, including basics applicable to open channel flow followed by turbulence characteristics related to sediment-laden flows. It presents well-balanced exposure of physical concepts, mathematical treatments, validation of the models/theories, and experimentations using modern electronic gadgets within the scope. In addition, it explores fluid motions, sediment-fluid interactions, erosion and scouring, sediment suspension and bed load transportation, image processing for particle dynamics, and various problems of applied fluid mechanics in natural sciences. Features: Gives comprehensive treatment on fluid dynamics and fluvial process from fundamentals to advanced level applications in one volume. Presents knowledge on sediment transport and its interaction with turbulence. Covers recent methodologies in the study of turbulent flow theories with verification of laboratory data collected by ADV, PIV, URS, LDA, and imaging techniques, and field data collected by MMB and S4 current meters. Explores the latest empirical formulae for the estimations of bed load, saltation, suspension, and bedform migration. Contains theory to experimentations with field practices with comprehensive explanations and illustrations. This book is aimed at senior undergraduates, engineering and applied science postgraduate and research students working in mechanical, civil, geo-sciences, and chemical engineering departments pertaining to fluid mechanics, hydraulics, sediment transportation, and turbulent flows.

Author:
Publisher:
ISBN:
Category : Aeronautics
Languages : en
Pages : 1460

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Lists citations with abstracts for aerospace related reports obtained from world wide sources and announces documents that have recently been entered into the NASA Scientific and Technical Information Database.

Author: I.G. Currie
Publisher: CRC Press
ISBN: 1439874603
Category : Technology & Engineering
Languages : en
Pages : 607

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Fundamental Mechanics of Fluids, Fourth Edition addresses the need for an introductory text that focuses on the basics of fluid mechanics—before concentrating on specialized areas such as ideal-fluid flow and boundary-layer theory. Filling that void for both students and professionals working in different branches of engineering, this versatile instructional resource comprises five flexible, self-contained sections: Governing Equations deals with the derivation of the basic conservation laws, flow kinematics, and some basic theorems of fluid mechanics. Ideal-Fluid Flow covers two- and three-dimensional potential flows and surface waves. Viscous Flows of Incompressible Fluids discusses exact solutions, low-Reynolds-number approximations, boundary-layer theory, and buoyancy-driven flows. Compressible Flow of Inviscid Fluids addresses shockwaves as well as one- and multidimensional flows. Methods of Mathematical Analysis summarizes some commonly used analysis techniques. Additional appendices offer a synopsis of vectors, tensors, Fourier series, thermodynamics, and the governing equations in the common coordinate systems. The book identifies the phenomena associated with the various properties of compressible, viscous fluids in unsteady, three-dimensional flow situations. It provides techniques for solving specific types of fluid-flow problems, and it covers the derivation of the basic equations governing the laminar flow of Newtonian fluids, first assessing general situations and then shifting focus to more specific scenarios. The author illustrates the process of finding solutions to the governing equations. In the process, he reveals both the mathematical methodology and physical phenomena involved in each category of flow situation, which include ideal, viscous, and compressible fluids. This categorization enables a clear explanation of the different solution methods and the basis for the various physical consequences of fluid properties and flow characteristics. Armed with this new understanding, readers can then apply the appropriate equation results to deal with the particular circumstances of their own work.

Author: C.M. Brauner
Publisher: Springer
ISBN: 3540373403
Category : Mathematics
Languages : en
Pages : 551

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Author: V.Z. Parton
Publisher: Routledge
ISBN: 1351412949
Category : Technology & Engineering
Languages : en
Pages : 352

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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.