Generalized fundamental solutions for unsteady viscous flows

Generalized fundamental solutions for unsteady viscous flows

A number of closed-form fundamental solutions for generalized unsteady Oseen and Stokes flows associated with arbitrary time-dependent translational and rotational motions have been developed. These solutions are decomposed into two parts corresponding to a longitudinal wave and a transversal wave....

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Main Authors: Shu, Jian Jun, Chwang, Allen T.
Other Authors: School of Mechanical and Aerospace Engineering
Format: Article
Language:English
Published: 2011
Subjects:
DRNTU::Engineering::Mechanical engineering::Fluid mechanics
Online Access:https://hdl.handle.net/10356/79874
http://hdl.handle.net/10220/7230
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Institution: Nanyang Technological University
Language: English
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spelling sg-ntu-dr.10356-798742023-03-04T17:13:16Z Generalized fundamental solutions for unsteady viscous flows Shu, Jian Jun Chwang, Allen T. School of Mechanical and Aerospace Engineering Hong Kong Research Grants Council The University of Hong Kong DRNTU::Engineering::Mechanical engineering::Fluid mechanics A number of closed-form fundamental solutions for generalized unsteady Oseen and Stokes flows associated with arbitrary time-dependent translational and rotational motions have been developed. These solutions are decomposed into two parts corresponding to a longitudinal wave and a transversal wave. As examples of application, the hydrodynamic forces acting on a sphere and on a circular cylinder translating in an unsteady rotating flow field at low Reynolds numbers are calculated using the generalized fundamental solutions. Published version 2011-10-11T09:08:33Z 2019-12-06T13:35:50Z 2011-10-11T09:08:33Z 2019-12-06T13:35:50Z 2001 2001 Journal Article Shu, J. J., & Chwang, A. T. (2001). Generalized fundamental solutions for unsteady viscous flows. Physical Review E, 63(5). 1539-3755 https://hdl.handle.net/10356/79874 http://hdl.handle.net/10220/7230 10.1103/PhysRevE.63.051201 90589 en Physical Review E © 2001 American Physical Society. This paper was published in Physical Review E and is made available as an electronic reprint (preprint) with permission of American Physical Society. The paper can be found at: [DOI: http://dx.doi.org/10.1103/PhysRevE.63.051201].  One print or electronic copy may be made for personal use only. Systematic or multiple reproduction, distribution to multiple locations via electronic or other means, duplication of any material in this paper for a fee or for commercial purposes, or modification of the content of the paper is prohibited and is subject to penalties under law. 7 p. application/pdf
institution Nanyang Technological University
building NTU Library
continent Asia
country Singapore
Singapore
content_provider NTU Library
collection DR-NTU
language English
topic DRNTU::Engineering::Mechanical engineering::Fluid mechanics
spellingShingle DRNTU::Engineering::Mechanical engineering::Fluid mechanics
Shu, Jian Jun
Chwang, Allen T.
Generalized fundamental solutions for unsteady viscous flows
description A number of closed-form fundamental solutions for generalized unsteady Oseen and Stokes flows associated with arbitrary time-dependent translational and rotational motions have been developed. These solutions are decomposed into two parts corresponding to a longitudinal wave and a transversal wave. As examples of application, the hydrodynamic forces acting on a sphere and on a circular cylinder translating in an unsteady rotating flow field at low Reynolds numbers are calculated using the generalized fundamental solutions.
author2 School of Mechanical and Aerospace Engineering
author_facet School of Mechanical and Aerospace Engineering
Shu, Jian Jun
Chwang, Allen T.
format Article
author Shu, Jian Jun
Chwang, Allen T.
author_sort Shu, Jian Jun
title Generalized fundamental solutions for unsteady viscous flows
title_short Generalized fundamental solutions for unsteady viscous flows
title_full Generalized fundamental solutions for unsteady viscous flows
title_fullStr Generalized fundamental solutions for unsteady viscous flows
title_full_unstemmed Generalized fundamental solutions for unsteady viscous flows
title_sort generalized fundamental solutions for unsteady viscous flows
publishDate 2011
url https://hdl.handle.net/10356/79874
http://hdl.handle.net/10220/7230
_version_ 1759854808401969152

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