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Soft InterfacesLecture Notes of the Les Houches Summer School: Volume 98, July 2012$
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Lydéric Bocquet, David Quéré, Thomas A. Witten, and Leticia F. Cugliandolo

Print publication date: 2017

Print ISBN-13: 9780198789352

Published to Oxford Scholarship Online: November 2017

DOI: 10.1093/oso/9780198789352.001.0001

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PRINTED FROM OXFORD SCHOLARSHIP ONLINE (www.oxfordscholarship.com). (c) Copyright Oxford University Press, 2019. All Rights Reserved. An individual user may print out a PDF of a single chapter of a monograph in OSO for personal use. date: 16 October 2019

Fundamentals of fluid dynamics with an introduction to the importance of interfaces

Fundamentals of fluid dynamics with an introduction to the importance of interfaces

Chapter:
(p.3) 1 Fundamentals of fluid dynamics with an introduction to the importance of interfaces
Source:
Soft Interfaces
Author(s):

H. A. Stone

Publisher:
Oxford University Press
DOI:10.1093/oso/9780198789352.003.0001

The topics discussed are all related to basic fluid mechanics. In these introductory notes I highlight some of the main features of fluid flows and their mathematical characterization. There is much physical intuition encapsulated in the differential equations, and one of our goals is to gain more experience (i) understanding the governing equations and various related principles of kinematics, (ii) developing intuition with approximating the equations, (iii) applying the principles to a wide range of problems, which includes (iv) being able to rationalize scaling laws and quantitative trends, often without having a detailed solution in hand. Where possible we provide examples of the ideas with ‘soft interfaces’ in mind.

Keywords:   Fluid mechanics, Fluid flows, Mathematical description, Partial differential equations

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