Search results for: a-general-theory-of-fluid-mechanics

A General Theory of Fluid Mechanics

Author : Peiqing Liu
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This book provides a general introduction to fluid mechanics in the form of biographies and popular science. Based on the author’s extensive teaching experience, it combines natural science and human history, knowledge inheritance and cognition law to replace abstract concepts of fluid mechanics with intuitive and understandable physical concepts. In seven chapters, it describes the development of fluid mechanics, aerodynamics, hydrodynamics, computational fluid dynamics, experimental fluid dynamics, wind tunnel and water tunnel equipment, the mystery of flight and aerodynamic principles, and leading figures in fluid mechanics in order to spark beginners’ interest and allow them to gain a comprehensive understanding of the field’s development. It also provides a list of references for further study.

A General Theory of Fluid Mechanics

Author : Peiqing Liu
File Size : 66.36 MB
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Applied Mechanics Reviews

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A General Theory of Three dimensional Flow in Subsonic and Supersonic Turbomachines of Axial Radial and Mixed flow Types

Author : Chung-Hua Wu
File Size : 49.32 MB
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Presents a general theory of steady three-dimensional flow of a nonviscous fluid in turbomachines having arbitrary hub and casing shapes and a finite number of blades. Solution of a three-dimensional direct and inverse problem is obtained by investigating an appropriate combination of two-dimensional flows on relative stream surfaces whose intersections with a z-plane either upstream of or somewhere inside the blade row form a circular arc or a radial line. The theory is applicable to both irrotational and rotational absolute flow at the inlet of the blade row and at both design and off-design operations.

Mathematical Theory of Compressible Fluid Flow

Author : Richard von Mises
File Size : 62.85 MB
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Suitable for advanced undergraduate and graduate students, this text covers general theorems, conservation equations, waves, shocks, and nonisentropic flows, with emphasis on the basics, both conceptual and mathematical. 1958 edition.

Fluid Dynamics

Author : C. Pozrikidis
File Size : 51.38 MB
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Fluid Mechanics

Author : L D Landau
File Size : 69.91 MB
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Course of Theoretical Physics, Volume 6: Fluid Mechanics discusses several areas of concerns regarding fluid mechanics. The book provides a discussion on the phenomenon in fluid mechanics and their intercorrelations, such as heat transfer, diffusion in fluids, acoustics, theory of combustion, dynamics of superfluids, and relativistic fluid dynamics. The text will be of great interest to researchers whose work involves or concerns fluid mechanics.

Vectors Tensors and the Basic Equations of Fluid Mechanics

Author : Rutherford Aris
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Introductory text, geared toward advanced undergraduate and graduate students, applies mathematics of Cartesian and general tensors to physical field theories and demonstrates them in terms of the theory of fluid mechanics. 1962 edition.

Kinetic Theory and Fluid Dynamics

Author : Yoshio Sone
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This monograph is intended to provide a comprehensive description of the rela tion between kinetic theory and fluid dynamics for a time-independent behavior of a gas in a general domain. A gas in a steady (or time-independent) state in a general domain is considered, and its asymptotic behavior for small Knudsen numbers is studied on the basis of kinetic theory. Fluid-dynamic-type equations and their associated boundary conditions, together with their Knudsen-layer corrections, describing the asymptotic behavior of the gas for small Knudsen numbers are presented. In addition, various interesting physical phenomena derived from the asymptotic theory are explained. The background of the asymptotic studies is explained in Chapter 1, accord ing to which the fluid-dynamic-type equations that describe the behavior of a gas in the continuum limit are to be studied carefully. Their detailed studies depending on physical situations are treated in the following chapters. What is striking is that the classical gas dynamic system is incomplete to describe the behavior of a gas in the continuum limit (or in the limit that the mean free path of the gas molecules vanishes). Thanks to the asymptotic theory, problems for a slightly rarefied gas can be treated with the same ease as the corresponding classical fluid-dynamic problems. In a rarefied gas, a temperature field is di rectly related to a gas flow, and there are various interesting phenomena which cannot be found in a gas in the continuum limit.

Fluid Dynamics

Author : Constantine Pozrikidis
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Ready access to computers at an institutional and personal level has defined a new era in teaching and learning. The opportunity to extend the subject matter of traditional science and engineering disciplines into the realm of scientific computing has become not only desirable, but also necessary. Thanks to port ability and low overhead and operating costs, experimentation by numerical simulation has become a viable substitute, and occasionally the only alternative, to physical experiment at ion. The new environment has motivated the writing of texts and mono graphs with a modern perspective that incorporates numerical and com puter programming aspects as an integral part of the curriculum: meth ods, concepts, and ideas should be presented in a unified fashion that motivates and underlines the urgency of the new elements, but does not compromise the rigor of the classical approach and does not oversimplify. Interfacing fundamental concepts and practical methods of scientific computing can be done on different levels. In one approach, theory and implement at ion are kept complementary and presented in a sequential fashion. In a second approach, the coupling involves deriving compu tational methods and simulation algorithms, and translating equations into computer code instructions immediately following problem formu lations. The author of this book is a proponent of the second approach and advocates its adoption as a means of enhancing learning: interject ing methods of scientific computing into the traditional discourse offers a powerful venue for developing analytical skills and obtaining physical insight.

General Register

Author : University of Michigan
File Size : 61.79 MB
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Announcements for the following year included in some vols.

Theories of Fluids with Microstructure

Author : V.K. Stokes
File Size : 57.85 MB
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This book provides an introduction to theories of fluids with microstruc ture, a subject that is still evolving, and information on which is mainly available in technical journals. Several approaches to such theories, employ ing different levels of mathematics, are now available. This book presents the subject in a connected manner, using a common notation and a uniform level of mathematics. The only prerequisite for understanding this material is an exposure to fluid mechanics using Cartesian tensors. This introductory book developed from a course of semester-length lec tures that were first given in the Department of Chemical Engineering at the University of Delaware and subsequently were given in the Department of Mechanical Engineering at the Indian Institute of Technology, Kanpur. The encouragement of Professor A. B. Metzner and the warm hospitality of the Department of Chemical Engineering, University of Delaware, where the first set of notes for this book were prepared (1970-71), are acknowledged with deep appreciation. Two friends and colleagues, Dr. Raminder Singh and Dr. Thomas F. Balsa, made helpful suggestions for the improvement of this manuscript. The financial support provided by the Education Development Centre of the Indian Institute of Technology, Kanpur, for the preparation of the manuscript is gratefully acknowledged.

Mathematical Theory of Compressible Fluid Flow

Author : Richard Von Mises
File Size : 49.29 MB
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Mathematical Theory of Compressible Fluid Flow covers the conceptual and mathematical aspects of theory of compressible fluid flow. This five-chapter book specifically tackles the role of thermodynamics in the mechanics of compressible fluids. This text begins with a discussion on the general theory of characteristics of compressible fluid with its application. This topic is followed by a presentation of equations delineating the role of thermodynamics in compressible fluid mechanics. The discussion then shifts to the theory of shocks as asymptotic phenomena, which is set within the context of rational mechanics. The remaining two chapters is a thorough description of the hodograph method. These chapters provide a comparison of the modern integration theories. The features, characteristics, and application of transonic flow are also explored. This book is an ideal advanced textbook for both graduate students and research workers.

Sir James Lighthill and Modern Fluid Mechanics

Author : Lokenath Debnath
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This is perhaps the first book containing biographical information of Sir James Lighthill and his major scientific contributions to the different areas of fluid mechanics, applied mathematics, aerodynamics, linear and nonlinear waves in fluids, geophysical fluid dynamics, biofluiddynamics, aeroelasticity, boundary layer theory, generalized functions, and Fourier series and integrals. Special efforts is made to present Lighthill's scientific work in a simple and concise manner, and generally intelligible to readers who have some introduction to fluid mechanics. The book also includes a list of Lighthill's significant papers.Written for the mathematically literate reader, this book also provides a glimpse of Sir James' serious attempt to stimulate interest in mathematics and its diverse applications among the general public of the world, his profound influence on teaching of mathematics and science with newer applications, and his deep and enduring concern on enormous loss of human lives, economic and marine resources by natural hazards. By providing detailed background information and knowledge, sufficient to start interdisciplinary research, it is intended to serve as a ready reference guide for readers interested in advanced study and research in modern fluid mechanics.

Advanced Transport Phenomena

Author : L. Gary Leal
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Advanced Transport Phenomena is ideal as a graduate textbook. It contains a detailed discussion of modern analytic methods for the solution of fluid mechanics and heat and mass transfer problems, focusing on approximations based on scaling and asymptotic methods, beginning with the derivation of basic equations and boundary conditions and concluding with linear stability theory. Also covered are unidirectional flows, lubrication and thin-film theory, creeping flows, boundary layer theory, and convective heat and mass transport at high and low Reynolds numbers. The emphasis is on basic physics, scaling and nondimensionalization, and approximations that can be used to obtain solutions that are due either to geometric simplifications, or large or small values of dimensionless parameters. The author emphasizes setting up problems and extracting as much information as possible short of obtaining detailed solutions of differential equations. The book also focuses on the solutions of representative problems. This reflects the book's goal of teaching readers to think about the solution of transport problems.

Frontiers of Fluid Mechanics

Author : Shen Yuan
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Frontiers of Fluid Mechanics documents the proceedings of the Beijing International Conference on Fluid Mechanics, held in Beijing, People's Republic of China, 1-4 July 1987. The aims of the conference were to provide a forum for a cross-sectional review of the state-of-the-art and new advances in various branches of fluid mechanics, and to promote the exchange of ideas by experts from different parts of the world. The contributions made by researchers at the conference are organized into 18 parts. Part 1 presents invited lectures covering topics such as separated flow, porous flow, and turbulence modeling. Part 2 contains papers dealing with turbulence. Parts 3, 4, and 5 include studies on flow stability and transition, transonic flow, and boundary layer flows and shock waves, respectively. Part 6 is devoted to aerodynamics and gas dynamics. Part 7 examines water waves while Part 8 is devoted to hydrodynamics and hydraulics. The papers in Part 9 examine bubbles and drops. Part 10 deals with experiments involving vortices, jets, wakes, and cavities. Part 11 contains studies on geophysical and astrophysical fluid mechanics. Parts 12 and 13 investigate two-phase flow and flow through porous media, and non-Newtonian flow, respectively. Part 14 takes up magneto-hydrodynamics and physic-chemical flow. Part 15 covers biofluid mechanics. Part 16 contains papers on industrial and environmental fluid mechanics while Part 17 deals with heat transfer. Part 18 contains papers that were received after the conference.

University of Michigan Official Publication

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Non Newtonian Fluid Mechanics

Author : G. Böhme
File Size : 56.23 MB
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This volume is for use in technical universities, and for practising engineers who are involved with flow problems of non-Newtonian fluids. The treatment of the subject is based throughout on continuum mechanics model concepts and methods. Because in Non-Newtonian fluids the material properties operating depend critically on the kinematics of the flow, special attention is paid to the derivation and explanation of the adequate constitutive equations used. The book can be read without reference to other sources. It begins by considering some general principles of continuum mechanics, studies simple motions (steady and unsteady shear flows) and proceeds by degrees to kinematically more complex motions. Problems of various degrees of difficulty at the end of each chapter invite active participation by the reader. Numerous stimulating topics from the literature are considered in the book.

Announcement

Author : University of Michigan. College of Engineering
File Size : 55.86 MB
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Naval Research Reviews

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File Size : 28.57 MB
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