Wen, X (2017) Singularities of the Navier-Stokes Equations in Differential Form at the Interface between Air and Water. In: Campos, D, (ed.) Handbook on Navier-Stokes Equations: Theory and Applied Analysis. Physics Research and Technology . Nova Science Publishers , New York, NY, USA , pp. 265-274. ISBN 978-1-53610-308-3
Abstract
The properties of the Navier-Stokes equations are extremely important for theoretical and numerical studies of fluid flow. This chapter investigates the properties of the differential and integral forms of the NavierStoke equations for immiscible air-water flow. The analysis reveals that unlike other fluids the immiscible air-water flow is so special that the Navier-Stokes equations in the differential form have singularities at the interface due to the continuous movement of interface and discontinuous density. In contrast to the differential form, the Navier-Stokes equations in integral form hold well every where including at the interface, indicating the integral form can be widely used in the computation of air-water flow.
Metadata
Item Type: | Book Section |
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Authors/Creators: |
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Editors: |
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Keywords: | Navier-Stokes equations, air-sea interaction, wind-wave interaction, air-water flow |
Dates: |
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Institution: | The University of Leeds |
Academic Units: | The University of Leeds > Faculty of Environment (Leeds) > School of Earth and Environment (Leeds) > Inst for Climate & Atmos Science (ICAS) (Leeds) |
Depositing User: | Symplectic Publications |
Date Deposited: | 19 Sep 2016 15:39 |
Last Modified: | 16 Nov 2017 11:14 |
Published Version: | https://www.novapublishers.com/catalog/product_inf... |
Status: | Published |
Publisher: | Nova Science Publishers |
Series Name: | Physics Research and Technology |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:104839 |