Modeling acoustic streaming on a vibrating particle

Rajai S. Alassar

doi:10.1007/978-3-642-19665-2_1

Modeling acoustic streaming on a vibrating particle

Rajai S. Alassar

Department of Mathematics

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

Abstract

In this study, we present the details of a Legendre series truncation method where the stream function and vorticity are expanded in terms of associated Legendre functions to calculate the secondary currents induced by a vibrating spherical particle. The time-dependent differential equations which result from the expansions are solved using a Crank-Nicolson numerical scheme.

Original language	English
Title of host publication	BAIL 2010 - Boundary and Interior Layers, Computational and Asymptotic Methods
Pages	1-10
Number of pages	10
DOIs	https://doi.org/10.1007/978-3-642-19665-2_1
State	Published - 2011

Publication series

Name	Lecture Notes in Computational Science and Engineering
Volume	81 LNCSE
ISSN (Print)	1439-7358

ASJC Scopus subject areas

Modeling and Simulation
General Engineering
Discrete Mathematics and Combinatorics
Control and Optimization
Computational Mathematics

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10.1007/978-3-642-19665-2_1

Cite this

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title = "Modeling acoustic streaming on a vibrating particle",

abstract = "In this study, we present the details of a Legendre series truncation method where the stream function and vorticity are expanded in terms of associated Legendre functions to calculate the secondary currents induced by a vibrating spherical particle. The time-dependent differential equations which result from the expansions are solved using a Crank-Nicolson numerical scheme.",

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AB - In this study, we present the details of a Legendre series truncation method where the stream function and vorticity are expanded in terms of associated Legendre functions to calculate the secondary currents induced by a vibrating spherical particle. The time-dependent differential equations which result from the expansions are solved using a Crank-Nicolson numerical scheme.

UR - https://www.scopus.com/pages/publications/79957927049

U2 - 10.1007/978-3-642-19665-2_1

DO - 10.1007/978-3-642-19665-2_1

M3 - Conference contribution

AN - SCOPUS:79957927049

SN - 9783642196645

T3 - Lecture Notes in Computational Science and Engineering

SP - 1

EP - 10

BT - BAIL 2010 - Boundary and Interior Layers, Computational and Asymptotic Methods

ER -

Modeling acoustic streaming on a vibrating particle

Abstract

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ASJC Scopus subject areas

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