By G. K. Batchelor
First released in 1967, Professor Batchelor's vintage paintings continues to be one of many most efficient texts on fluid dynamics. His cautious presentation of the underlying theories of fluids continues to be well timed and acceptable, even at present of just about unlimited machine strength. This reissue guarantees new iteration of graduate scholars stories the attractiveness of Professor Batchelor's writing.
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Additional info for An Introduction to Fluid Dynamics
_..... -.... , ........ 1. Non-uniform fluid at rest under the action of gravity and centrifugal force. Fluid at rest under grOlVity The case in which gravity is the only volume force acting on the fluid is both important and simple. Two extreme situations may be distinguished. In the first one, the mass of fluid concerned is large and isolated so that the gravitational attraction of other parts of the fluid provides the volume force on any element of the fluid, as in the case of a gaseous star.
3) is simply p = Po-p'Y, (1·4·5) where Po is a constant. A body 'floating' in fluid at rest The common notion of floating relates to a rigid body partially immersed at a horizontal free surface of liquid at rest under gravity, but the term may be used more generally. A body may be said to float when it is wholly immersed in fluid (some of the fluid may be liquid and some gaseous, giving partial immersion in everyday terminology) and both it and the fluid are at rest under the action of volume forces.
_-- ........ Equilibrium position of a uniform sphere - ...... ' ---- - - - - - - - ,,~ " ,,,,'''',,,,,~' ",'" , ~,, ' .... ,_..... -.... , ........ 1. Non-uniform fluid at rest under the action of gravity and centrifugal force. Fluid at rest under grOlVity The case in which gravity is the only volume force acting on the fluid is both important and simple. Two extreme situations may be distinguished. In the first one, the mass of fluid concerned is large and isolated so that the gravitational attraction of other parts of the fluid provides the volume force on any element of the fluid, as in the case of a gaseous star.