By G. K. Batchelor
First released in 1967, Professor Batchelor's vintage paintings continues to be one of many preferable texts on fluid dynamics. His cautious presentation of the underlying theories of fluids continues to be well timed and appropriate, even at present of virtually unlimited desktop energy. This reissue guarantees new iteration of graduate scholars reviews the splendor of Professor Batchelor's writing.
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Additional resources for An Introduction to Fluid Dynamics
6 When N is independent of position, Kn is equal to the flux of marked molecules per unit gradient of number density of marked molecules. In the particular case in which marked and unmarked molecules are dynamically similar and thus have the same migratory behaviour, kD and KD are independent of C and KD is then the coefficient of self-diffusion. 7) is one of the archetypes of linear partial differential equations of the second order, and a good deal is known about solutions for various types of boundary and initial conditions.
T The concepts of thermodynamics are helpful to the student of fluid mechanics for the additional reason that in both subjects the objective is a set of results which apply to matter as generally as possible, without regard for the different molecular properties and mechanisms at work. 7). It is taken as a fact of experience that the state of a given mass of fluid in equilibrium (the word being used here and later to imply spatial as well as temporal uniformity) under the simplest possible conditions is specified uniquely by two parameters, which for convenience may be chosen as the specific volume f) (= 1/p, where p is the density) and the pressure p as defined above.
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.
An Introduction to Fluid Dynamics by G. K. Batchelor