## An Introduction to Fluid DynamicsFirst 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 should ensure that a new generation of graduate students see the elegance of Professor Batchelor's presentation. |

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### Contents

Kinematics of the Flow Field | 71 |

Equations Governing the Motion of a Fluid | 131 |

Effects of Viscosity | 264 |

The persistence of irrotationality | 276 |

Irrotational Flow Theory and its Applications | 378 |

Efflux from a circular orifice in an open vessel | 387 |

Irrotational flow which may be made steady by choice of rotating axes | 396 |

Flow fields obtained by special choice of the function uiz | 410 |

Transformation of a boundary into an infinite straight line | 418 |

A circular cylinder | 424 |

The force and moment on a cylinder in steady translational motion | 433 |

Flow of Effectively Inviscid Fluid with Vorticity | 507 |

Measured values of some physical properties of common fluids | 594 |

604 | |

### Common terms and phrases

aerofoil angular velocity approximately axes axial axis Bernoulli's theorem body force boundary conditions boundary layer bubble cavity centre circular cylinder closed curve co-ordinates coefficient complex potential constant Coriolis force corresponding density diffusion direction distance downstream drag edge effect equation of motion equilibrium everywhere external stream figure flow due flow field fluid velocity flux free surface given incompressible infinity inner boundary integral inviscid irrotational flow kinetic energy Laplace's equation line vortex linear liquid magnitude material element molecular molecules momentum moving no-slip condition non-zero normal obtained parallel plane position quantity radius region relation relative represented result Reynolds number rotation satisfied shape sheet vortex simple shearing solution speed sphere spherical stagnation point steady flow stream function streamlines stress symmetry tangential temperature tensor theorem thickness two-dimensional flow uniform unit mass vector velocity distribution velocity potential viscosity viscous forces volume vortex-lines vorticity wall zero