An Introduction to Fluid Dynamics
Cambridge University Press, 28 февр. 2000 г.
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 should ensure that a new generation of graduate students see the elegance of Professor Batchelor's presentation.
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Kinematics of the Flow Field
Equations Governing the Motion of a Fluid
Effects of Viscosity
Irrotational Flow Theory and its Applications
Efflux from a circular orifice in an open vessel
Irrotational flow which may be made steady by choice of rotating axes
Flow fields obtained by special choice of the function wz
Transformation of a boundary into an infinite straight line
A circular cylinder
The force and moment on a cylinder in steady translational motion
Flow of Effectively Inviscid Fluid with Vorticity
Measured values of some physical properties of common fluids
Publications referred to in the text
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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 constant Coriolis force corresponding density diffusion direction distance downstream drag dynamics 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 side 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