Stokes's Fundamental Contributions to Fluid Dynamics

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Title: Stokes's Fundamental Contributions to Fluid Dynamics
Authors: Lynch, Peter
Permanent link: http://hdl.handle.net/10197/11244
Date: 27-Jun-2019
Online since: 2019-12-10T14:19:47Z
Abstract: George Gabriel Stokes was one of the giants of hydrodynamics in the nineteenth century. He made fundamental mathematical contributions to fluid dynamics that had profound practical consequences. The basic equations formulated by him, the Navier-Stokes equations, are capable of describing fluid flows over a vast range of magnitudes. They play a central role in numerical weather prediction, in the simulation of blood flow in the body and in countless other important applications. In this chapter we put the primary focus on the two most important areas of Stokes’s work on fluid dynamics, the derivation of the Navier-Stokes equations and the theory of finite amplitude oscillatory water waves. Stokes became an undergraduate at Cambridge in 1837. He was coached by the ‘Senior Wrangler-maker’, William Hopkins and, in 1841, Stokes was Senior Wrangler and first Smith’s Prizeman. It was following a suggestion of Hopkins that Stokes took up the study of hydrodynamics, which was at that time a neglected area of study in Cambridge. Stokes was to make profound contributions to hydrodynamics, his most important being the rigorous establishment of the mathematical equations for fluid motions, and the theoretical explanation of a wide range of phenomena relating to wave motions in water.
Type of material: Book Chapter
Publisher: Oxford University Press
Copyright (published version): 2019 Oxford University Press
Keywords: Navier-Stokes equationsFluid dynamicsWater wavesStoke's theoremGroup velocity
DOI: 10.1093/oso/9780198822868.003.0006
Other versions: https://www.oxfordscholarship.com/view/10.1093/oso/9780198822868.001.0001/oso-9780198822868
Language: en
Status of Item: Peer reviewed
Is part of: McCartney M., Whitaker A., Wood A. (eds.). George Gabriel Stokes Life, Science and Faith
ISBN: 0198822863
9780198822868
Appears in Collections:Mathematics and Statistics Research Collection

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