Stokes's Fundamental Contributions to Fluid Dynamics

Files in This Item:
Access to this item has been restricted by the copyright holder until:2020-06-27
File Description SizeFormat 
Preprint-Chapter6.pdf266.88 kBAdobe PDF    Request a copy
Title: Stokes's Fundamental Contributions to Fluid Dynamics
Authors: Lynch, Peter
Permanent link:
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:
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
Appears in Collections:Mathematics and Statistics Research Collection

Show full item record

Page view(s)

Last Week
Last month
checked on Jan 23, 2020


checked on Jan 23, 2020

Google ScholarTM



This item is available under the Attribution-NonCommercial-NoDerivs 3.0 Ireland. No item may be reproduced for commercial purposes. For other possible restrictions on use please refer to the publisher's URL where this is made available, or to notes contained in the item itself. Other terms may apply.