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George Keith Batchelor FRS [1] (8 March 1920 – 30 March 2000) was an Australian applied mathematician and fluid dynamicist. He was for many years a Professor of Applied Mathematics in the University of Cambridge , and was founding head of the Department of Applied Mathematics and Theoretical Physics (DAMTP).
In fluid and molecular dynamics, the Batchelor scale, determined by George Batchelor (1959), [1] describes the size of a droplet of fluid that will diffuse in the same time it takes the energy in an eddy of size η to dissipate. The Batchelor scale can be determined by: [2]
The following outline is provided as an overview of and topical guide to fluid dynamics: . In physics, physical chemistry and engineering, fluid dynamics is a subdiscipline of fluid mechanics that describes the flow of fluids – liquids and gases.
In fluid dynamics, Prandtl–Batchelor theorem states that if in a two-dimensional laminar flow at high Reynolds number closed streamlines occur, then the vorticity in the closed streamline region must be a constant. A similar statement holds true for axisymmetric flows. The theorem is named after Ludwig Prandtl and George Batchelor.
For the next century or so vortex dynamics matured as a subfield of fluid mechanics, always commanding at least a major chapter in treatises on the subject. Thus, H. Lamb's well known Hydrodynamics (6th ed., 1932) devotes a full chapter to vorticity and vortex dynamics as does G. K. Batchelor's Introduction to Fluid Dynamics (1967). In due ...
Fluid mechanics, especially fluid dynamics, is an active field of research, typically mathematically complex. Many problems are partly or wholly unsolved and are best addressed by numerical methods, typically using computers. A modern discipline, called computational fluid dynamics (CFD), is devoted to this approach. [2]
An introduction to astrophysical fluid dynamics. Imperial College Press. ISBN 978-1-86094-615-8. Bennett, Andrew (2006). Lagrangian fluid dynamics. Cambridge: Cambridge University Press. ISBN 978-0-521-85310-1. Badin, G.; Crisciani, F. (2018). Variational Formulation of Fluid and Geophysical Fluid Dynamics - Mechanics, Symmetries and ...
G. K. Batchelor, An Introduction to Fluid Dynamics, Cambridge University Press (1967, reprinted in 2000). Kundu, P and Cohen, I, Fluid Mechanics , 2nd edition, Academic Press 2002. George B. Arfken and Hans J. Weber, Mathematical Methods for Physicists , 4th edition, Academic Press: San Diego (1995) pp. 92–93