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Title: Generalized fundamental solutions for unsteady viscous flows
Authors: Shu, Jian Jun
Chwang, Allen T.
Keywords: DRNTU::Engineering::Mechanical engineering::Fluid mechanics
Issue Date: 2001
Source: Shu, J. J., & Chwang, A. T. (2001). Generalized fundamental solutions for unsteady viscous flows. Physical Review E, 63(5).
Series/Report no.: Physical Review E
Abstract: 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.
ISSN: 1539-3755
DOI: 10.1103/PhysRevE.63.051201
Schools: School of Mechanical and Aerospace Engineering 
Organisations: Hong Kong Research Grants Council
The University of Hong Kong
Rights: © 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:].  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.
Fulltext Permission: open
Fulltext Availability: With Fulltext
Appears in Collections:MAE Journal Articles

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