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A First Course in Fluid Dynamics

A First Course in Fluid Dynamics

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  • Date Published: January 1984
  • availability: Available
  • format: Paperback
  • isbn: 9780521274241

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  • How can the drag coefficient of a car be reduced? What factors govern the variation in the shape of the Earth's magnetosphere? What is the basis of weather prediction? These are examples of problems that can only be tackled with a sound knowledge of the principles and methods of fluid dynamics. This important discipline has applications which range from the study of the large-scale properties of the galaxies to the design of high precision engineering components. This book introduces the subject of fluid dynamics from the first principles. The first eleven chapters cover all the basic ideas of fluid mechanics, explaining carefully the modelling and mathematics needed. The last six chapters illustrate applications of this material to linearised sound and water waves, to high speed flow of air, to non-linear water waves on channels, and to aerofoil theory. Over 350 diagrams have been used to illustrate key points. Exercises are included to help develop and reinforce the reader's understanding of the material presented. References at the ends of each chapter serve not only to guide readers to more detailed texts, but also list where alternative descriptions of the salient points in the chapter may be found. This book is an undergraduate text for second or third year students of mathematics or mathematical physics, who are taking a first course in fluid dynamics.

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    "It is interesting to browse through the book and see from the selection and arrangement of the material the skeleton of an interesting course evolving..." Physics in Canada

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    Product details

    • Date Published: January 1984
    • format: Paperback
    • isbn: 9780521274241
    • length: 540 pages
    • dimensions: 229 x 152 x 31 mm
    • weight: 0.79kg
    • availability: Available
  • Table of Contents

    Preface
    Introduction
    1. Mathematical preliminaries
    2. Physical preliminaries
    3. Observational preliminaries
    4. Massconservation and stream functions
    5. Vorticity
    6. Hydrostatics
    7. Thermodynamics
    8. The equation of motion
    9. Solutions of the Navier-Stokes equations
    10. Inviscid flow
    11. Potential theory
    12. Sound waves in fluids
    13. Water waves
    14. High speed flow of air
    15. Steady surface waves in channels
    16. The complex potential
    17. Conformal mappings and aerofoils
    Hints for exercises
    Answers for exercises
    Books for reference
    Index.

  • Author

    A. R. Paterson

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