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

Howard A. Stone

doi:10.1093/oso/9780198789352.003.0001

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

Howard A. Stone

Princeton University

Research output: Chapter in Book/Report/Conference proceeding › Chapter

4 Scopus citations

Abstract

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.

Original language	American English
Title of host publication	Soft Interfaces
Publisher	Oxford University Press
Pages	3-79
Number of pages	77
ISBN (Print)	9780198789352
DOIs	https://doi.org/10.1093/oso/9780198789352.003.0001
State	Published - Nov 23 2017

ASJC Scopus subject areas

General Physics and Astronomy

Keywords

Fluid flows
Fluid mechanics
Mathematical description
Partial differential equations

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10.1093/oso/9780198789352.003.0001

Cite this

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abstract = "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.",

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AB - 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.

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ER -

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

Abstract

ASJC Scopus subject areas

Keywords

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