An introduction to fluid dynamics /

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First published in 1967, Professor Batchelor's classic text on fluid dynamics is still one of the foremost texts in the subject. The careful presentation of the underlying theories of fluids is still timely and applicable, even in these days of almost limitless computer power. This re-issue sho...

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Detalles Bibliográficos
Clasificación:QA911 B3.3
Autor principal: Batchelor, G. K. (George Keith) (autor)
Formato: Libro
Idioma:Inglés
Publicado: London : New York, NY : Cambridge University Press, 1973.
Colección:Cambridge mathematical library
Temas:
Fluid dynamics
Dinámica de fluidos
Tabla de Contenidos:
  • Preface Conventions and notation.
  • 1. The physical properties of fluids.
  • 2. Kinematics of the flow field.
  • 3. Equations governing the motion of a fluid.
  • 4. Flow of a uniform incompressible viscous fluid.
  • 5. Flow at large Reynolds number: effects of viscosity.
  • 6. Irrotational flow theory and its applications.
  • 7. Flow of effectively inviscid liquid with vorticity.
  • Appendices.
  • Ch. 1. The Physical Properties of Fluids.
  • 1.1. Solids, liquids andgases.
  • 1.2. The continuum hypothesis.
  • 1.3. Volume forces and surfaceforces acting on a fluid.
  • 1.4. Mechanical equilibrium of a fluid.
  • 1.5. Classical thermodynamics.
  • 1.6. Transport phenomena.
  • 1.7. Thedistinctive properties of gases.
  • 1.8. The distinctive properties ofliquids.
  • 1.9. Conditions at a boundary between two media
  • Ch. 2. Kinematics of the Flow Field.
  • 2.1. Specification of the flow field.
  • 2.2. Conservation of mass.
  • 2.3. Analysis of the relative motion near apoint.
  • 2.4. Expression for the velocity distribution with specified rate of expansion and vorticity.
  • 2.5. Singularities in the rate of expansion. Sources and sinks.
  • 2.6. The vorticity distribution.
  • 2.7. Velocity distributions with zero rate of expansion and zero vorticity.
  • 2.8. Irrotational solenoidal flow in doubly-connected regions of space.
  • 2.9.++ Three-dimensional flow fields extending to infinity.
  • 2.10. Two-dimensional flow fields extending to infinity .
  • Ch. 3. Equations Governing the Motion of a Fluid.
  • 3.1. Material integrals in a movingfluid.
  • 3.2. The equation of motion.
  • 3.3. The expression for the stress tensor.
  • 3.4. Changes in the internal energy of a fluid in motion.
  • 3.5. Bernoulli's theorem for steady flow of a friction less nonconducting fluid.
  • 3.6. The complete set of equations governing fluid flow.
  • 3.7. Concluding remarks to chapters 1, 2 and 3 .
  • Ch. 4. Flow of a Uniform Incompressible Viscous Fluid.
  • 4.1. Introduction.
  • 4.2. Steady unidirectional flow.
  • 4.3. Unsteady unidirectional flow.
  • 4.4. The Ekmanlayer at a boundary in rotating fluid.
  • 4.5. Flow with circularstreamlines.
  • 4.6. The steady jet from a point source of momentum.
  • 4.7. Dynamical similarity and the Reynolds number.
  • 4.8. Flow fields in which inertia forces are negligible.
  • 4.9.++ Flow due to a moving body at small Reynolds number.
  • 4.10. Oseen'simprovement of the equation for flow due to moving bodies at small Reynolds number.
  • 4.11. The viscosity of a dilute suspension of small particles.
  • 4.12. Changes in the flow due to moving bodies as R increases from 1 toabout 100.
  • Ch. 5. Flow at Large Reynolds Number: Effects of Viscosity.
  • 5.1. Introduction.
  • 5.2. Vorticity dynamics.
  • 5.3. Kelvin's circulation theorem and vorticity laws for an inviscid fluid.
  • 5.4. The source of vorticity in motions generated from rest.
  • 5.5. Steady flows in which vorticity generated at a solid surface is prevented by convection from diffusing far away from it.
  • 5.6. Steady two-dimensional flow in aconverging or diverging channel.
  • 5.7. Boundary layers.
  • 5.8. The boundary layer on a flat plate.
  • 5.9. The effects of acceleration and deceleration of the external stream.
  • 5.10. Separation of the boundary layer.
  • 5.11.++ The flow due to bodies moving steadily through fluid.
  • 5.12. Jets, free shear layers and wakes.
  • 5.13. Oscillatory boundary layers.
  • 5.14. Flow systems with a free surface.
  • 5.15. Examples of use of the momentum theorem .
  • Ch. 6. Irrotational Flow Theory and its Applications.
  • 6.1. The role of the theory of flow of an inviscid fluid.
  • 6.2. General properties of irrotational flow.
  • 6.3. Steady flow: some applications of Bernoulli's theorem and the momentum theorem.
  • 6.4. General features ofirrotational flow due to a moving rigid body.
  • 6.5. Use of the complex potential for irrotational flow in two dimensions.
  • 6.6. Two-dimensional irrotational flow due to a moving cylinder with circulation.
  • 6.7. Two-dimensional aerofoils.
  • 6.8. Axisymmetric irrotational flow due tomoving bodies.
  • 6.9. Approximate results for slender bodies.
  • 6.10. Impulsive motion of a fluid.
  • 6.11. Large gas bubbles in liquid.
  • 6.12. Cavitation in a liquid.++.
  • 6.13. Free-streamline theory, and steady jets and cavities
  • Ch. 7. Flow of Effectively Inviscid Fluid with Vorticity.
  • 7.1. Introduction.
  • 7.2. Flow in unbounded fluid at rest at infinity.
  • 7.3. Two-dimensionalflow in unbounded fluid at rest at infinity.
  • 7.4. Steady- two- dimensional flow with vorticity throughout the fluid.
  • 7.5. Steady axisymmetric flowwith swirl.
  • 7.6. Flow systems rotating as a whole.
  • 7.7. Motion in a thinlayer on a rotating sphere.
  • 7.8. The vortex system of a wing.
  • 1. Measured values of some physical properties of common fluids.
  • 2. Expressions for some common vector differential quantities in orthogonal curvilinear co-ordinate systems.

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