## 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. |

### Contents

I | 13 |

Kinematics of the Flow Field | 71 |

Conditions for Vo to be determined uniquely | 119 |

Equations Governing the Motion of a Fluid | 131 |

Special forms of Bernoullis theorem | 161 |

The HeleShaw cell | 222 |

b Flow toward a stagnation point at a rigid boundary | 285 |

The force on a regular array of bodies in a stream | 372 |

Irrotational Flow Theory and its Applications | 378 |

Kelvins minimum energy theorem | 384 |

Body shapes obtained from source singularities on the axis of symmetry | 458 |

Flow of Effectively Inviscid Fluid with Vorticity | 507 |

The resultant force impulse required to generate the motion | 518 |

The effect of a change of external velocity on an isolated vortex | 550 |

604 | |

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### Common terms and phrases

aerofoil approximately axes axial axis Bernoulli's theorem boundary conditions boundary layer bubble cavity centre circular cylinder closed curve co-ordinates coefficient component 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 gradient 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 pressure quantity radius region relation relative represented Reynolds number rotating satisfied shape sheet vortex simple shearing solution speed sphere spherical stagnation point steady flow stream function streamlines stress surface tension tangential temperature tensor theorem thickness two-dimensional flow uniform vector velocity distribution velocity potential viscosity viscous forces volume vortex ring vortex-lines vorticity zero дх

### References to this book

Level Set Methods and Dynamic Implicit Surfaces Stanley Osher,Ronald Fedkiw No preview available - 2002 |

Manifolds, Tensor Analysis, and Applications Ralph Abraham,J.E. Marsden,Tudor Ratiu Limited preview - 1993 |