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Vectors, Tensors and the Basic Equations of Fluid Mechanics

Vectors, Tensors and the Basic Equations of Fluid Mechanics
Author: Rutherford Aris
Publisher: Courier Corporation
Total Pages: 320
Release: 2012-08-28
Genre: Mathematics
ISBN: 048613489X

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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.


An Introduction to Continuum Mechanics

An Introduction to Continuum Mechanics
Author: J. N. Reddy
Publisher: Cambridge University Press
Total Pages: 479
Release: 2013-07-29
Genre: Science
ISBN: 1107292409

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This best-selling textbook presents the concepts of continuum mechanics in a simple yet rigorous manner. It introduces the invariant form as well as the component form of the basic equations and their applications to problems in elasticity, fluid mechanics and heat transfer, and offers a brief introduction to linear viscoelasticity. The book is ideal for advanced undergraduates and graduate students looking to gain a strong background in the basic principles common to all major engineering fields, and for those who will pursue further work in fluid dynamics, elasticity, plates and shells, viscoelasticity, plasticity, and interdisciplinary areas such as geomechanics, biomechanics, mechanobiology and nanoscience. The book features derivations of the basic equations of mechanics in invariant (vector and tensor) form and specification of the governing equations to various co-ordinate systems, and numerous illustrative examples, chapter summaries and exercise problems. This second edition includes additional explanations, examples and problems.


Fundamental Mechanics of Fluids

Fundamental Mechanics of Fluids
Author: Iain G. Currie
Publisher: McGraw-Hill Companies
Total Pages: 472
Release: 1974
Genre: Science
ISBN:

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Retaining the features that made previous editions perennial favorites, Fundamental Mechanics of Fluids, Third Edition illustrates basic equations and strategies used to analyze fluid dynamics, mechanisms, and behavior, and offers solutions to fluid flow dilemmas encountered in common engineering applications. The new edition contains completely reworked line drawings, revised problems, and extended end-of-chapter questions for clarification and expansion of key concepts. Includes appendices summarizing vectors, tensors, complex variables, and governing equations in common coordinate systems Comprehensive in scope and breadth, the Third Edition of Fundamental Mechanics of Fluids discusses: Continuity, mass, momentum, and energy One-, two-, and three-dimensional flows Low Reynolds number solutions Buoyancy-driven flows Boundary layer theory Flow measurement Surface waves Shock waves


Fundamental Mechanics of Fluids, Third Edition

Fundamental Mechanics of Fluids, Third Edition
Author: Iain G. Currie
Publisher: CRC Press
Total Pages: 504
Release: 2002-12-12
Genre: Technology & Engineering
ISBN: 0824745655

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Retaining the features that made previous editions perennial favorites, Fundamental Mechanics of Fluids, Third Edition illustrates basic equations and strategies used to analyze fluid dynamics, mechanisms, and behavior, and offers solutions to fluid flow dilemmas encountered in common engineering applications. The new edition contains completely reworked line drawings, revised problems, and extended end-of-chapter questions for clarification and expansion of key concepts. Includes appendices summarizing vectors, tensors, complex variables, and governing equations in common coordinate systems Comprehensive in scope and breadth, the Third Edition of Fundamental Mechanics of Fluids discusses: Continuity, mass, momentum, and energy One-, two-, and three-dimensional flows Low Reynolds number solutions Buoyancy-driven flows Boundary layer theory Flow measurement Surface waves Shock waves


Introduction to Fluid Mechanics

Introduction to Fluid Mechanics
Author: Edward J. Shaughnessy
Publisher: Oxford University Press, USA
Total Pages: 1064
Release: 2005
Genre: CD-ROMs
ISBN:

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This is an introductory fluid mechanics text, intended for the first Fluid Mechanics course required of all engineers. The goal of this book is to modernise the teaching of fluid mechanics by encouraging students to visualise and simulate flow processes. The book also introduces students to the capabilities of computational fluid dynamics (CFD) techniques, the most important new approach to the study of fluids. Fluid mechanics is traditionally one of the most difficult topics in the curriculum for ME students: this text aims to overcome those learning difficulties through visualisation of the key concepts.Contents: 1. Fundamental Concepts 1.1 Introduction 1.2 Gases. Liquids and Solids 1.3 Methods of Description 1.4 Dimensions and Unit Sytems 1.5 Problem Solving 2. Fluid Properties 2.1 Introduction 2.2 Mass, Weight and Density 2.3 Pressure 2.4 Temperature and Other Thermal Properties 2.5 The Perfect Gas Law 2.6 Bulk Compressibility Modules 2.7 Viscosity 2.8 Surface Tension 2.9 Fluid Energy 3. Case Studies in Fluid Mechanics 3.1 Introduction 3.2 Common Dimensionless Groups 3.3 Case Studies 4. Fluid Forces 4.1 Introduction 4.2 Classification of Fluid Forces 4.3 The Orgins of Body and Surface Forces 4.4 Body Forces 4.5 Surface Forces 4.6 Stress in a Fluid 4.7 Forces Balance in a Fluid 5. Fluid Statics 5.1 Introduction 5.2 Hydrostatic Stress 5.3 Hydrostatic Equation 5.4 Hydrostatic Pressure Distribution 5.5 Hydrostatic Force 5.6 Hydrostatic Moment 5.7 Resultant Force and Point of Application 5.8 Buoyancy and Archimedes 5.9 Equilibrium and Stability of Immerseed Bodies 6. The Velocity Field and Fluid Transport 6.1 Introduction 6.2 The Fluid Velocity Field 6.3 Fluid Acceleration 6.4 The Substantial Derivative 6.5 Classification of Flows 6.6 No-Slip, No-Penetration Boundary Condition 6.7 Fluid Transport 6.8 Average Velocity and Flowrate 7. Control Volume Analysis 7.1 Introduction 7.2 Basic Concepts: System and Control Volume 7.3 System and Control Volume Analysis 7.4 Reynolds Transport Theorem for a System 7.5 Reynolds Transport Theorem for a Control Volume 7.6 Control Volume Analysis 8. Flow of an Invicid Fluid: The Bernoulli Equation 8.1 Introduction 8.2 Friction Flow along a Streamline 8.3 Bernoulli Equation 8.4 Static, Dynamic, Stagnation and Total Pressure 8.5 Applications of the Bernoulli Equation 8.6 Relationship to the Energy Equation 9. Dimensional Analysis and Similitude 9.1 Introduction 9.2 Buckingham PI Theorem 9.3 Repeating Variables Method 9.4 Similitude and Model Development 9.5 Correlation of Experimental Data 9.6 Application to Case Studies 10. Elements of Flow Visualisation and Flow Structure 10.1 Introduction 10.2 Lagrangian Kinematics 10.3 The Eulerian-Langrangian Connection 10.4 Material Lines, Surfaces and Volumes 10.5 Pathlines and Streaklines 10.6 Streamlines and Streamtubes 10.7 Motion and Deformation 10.8 Velocity 10.9 Rate of Rotation 10.10 Rate of Expansion 10.11 Rate of Shear Deformation 11. Governing Equations of Fluid Dynamics 11.1 Introduction 11.2 Continuity Equation 11.3 Momentum Equation 11.4 Constitutive Model for a Newtonian Fluid 11.5 Navier-Stokes Equations 11.6 Euler Equations 11.7 Energy Equation 11.8 Discussion 12. Analysis of Incompressive Flow 12.1 Introduction 12.2 Steady Viscous Flow 12.3 Unsteady Viscous Flow 12.4 Turbulent 12.5 Inviscid Irrotational Flow 13. Flow in Pipes and Ducts 13.1 Introduction 13.2 Steady Fully Developed Flow in a Pipe or Duct 13.3 Analysis of Flow in Single Path Pipe and Duct Systems 13.4 Analysis of Flow in Multiple Path Pipe and Duct Systems 13.5 Elements of Pipe and Duct Systems Design 14. External Flow 14.1 Introduction 14.2 Boundary Layers: Basic Concepts 14.3 Drag: Basic Concepts 14.4 Drag Coefficients 14.5 Life and Drag of Airfoils 15. Open Channel Flow 15.1 Introduction 15.2 Basic Concepts in Open Channel Flow 15.3 The Importance of the Froude Number 15.4 Energy Conservation in Open Channel Flow 15.5 Flow in a Channel with Uniform Depth 15.6 Flow in a Channel with Gradually-Varying Depth 15.7 Flow Under a Sluice Gate 15.8 Flow over a Weir


Fundamental Equations of Fluid Mechanics

Fundamental Equations of Fluid Mechanics
Author: Klaus A. Hoffmann
Publisher:
Total Pages: 509
Release: 1996-01-01
Genre: Fluid dynamics.
ISBN: 9780962373190

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Fluid Dynamics

Fluid Dynamics
Author: Z.U.A. Warsi
Publisher: CRC Press
Total Pages: 730
Release: 1993
Genre: Science
ISBN:

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Fluid Dynamics presents the basic development of equations in coordinate-invariant form and their use in solving problems in laminar and turbulent flows. This book presents a thorough examination of fluid dynamics by combining fundamental principles with systematic, mathematical, and computational approaches.


Vector Analysis

Vector Analysis
Author: Josiah Willard Gibbs
Publisher:
Total Pages: 468
Release: 1901
Genre: Vector analysis
ISBN:

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Introduction to Vector and Tensor Analysis

Introduction to Vector and Tensor Analysis
Author: Robert C. Wrede
Publisher: Courier Corporation
Total Pages: 418
Release: 2013-01-30
Genre: Mathematics
ISBN: 0486137112

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Examines general Cartesian coordinates, the cross product, Einstein's special theory of relativity, bases in general coordinate systems, maxima and minima of functions of two variables, line integrals, integral theorems, and more. 1963 edition.