Article: Generalized fundamental solutions for unsteady viscous flows
| Title | Generalized fundamental solutions for unsteady viscous flows |
|---|---|
| Authors | Shu, J Chwang, ATY |
| Keywords | Physics |
| Issue Date | 2001 |
| Publisher | American Physical Society. The Journal's web site is located at http://pre.aps.org |
| Citation | Physical Review E (Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics), 2001, v. 63 n. 5, p. 051201:1-7 [How to Cite?] DOI: http://dx.doi.org/10.1103/PhysRevE.63.051201 |
| 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 | 1063-651X |
| DOI | http://dx.doi.org/10.1103/PhysRevE.63.051201 |
| ISI Accession Number ID | WOS:000168730700016 |
| dc.contributor.author | Shu, J |
|---|---|
| dc.contributor.author | Chwang, ATY |
| dc.date.accessioned | 2007-03-23T04:37:19Z |
| dc.date.available | 2007-03-23T04:37:19Z |
| dc.date.issued | 2001 |
| dc.description.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. |
| dc.description.nature | published_or_final_version |
| dc.format.extent | 87847 bytes |
| dc.format.extent | 2993 bytes |
| dc.format.mimetype | application/pdf |
| dc.format.mimetype | text/plain |
| dc.identifier.citation | Physical Review E (Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics), 2001, v. 63 n. 5, p. 051201:1-7 [How to Cite?] DOI: http://dx.doi.org/10.1103/PhysRevE.63.051201 |
| dc.identifier.doi | http://dx.doi.org/10.1103/PhysRevE.63.051201 |
| dc.identifier.hkuros | 58255 |
| dc.identifier.isi | WOS:000168730700016 |
| dc.identifier.issn | 1063-651X |
| dc.identifier.openurl | ![]() |
| dc.identifier.uri | http://hdl.handle.net/10722/43034 |
| dc.language | eng |
| dc.publisher | American Physical Society. The Journal's web site is located at http://pre.aps.org |
| dc.rights | Physical Review E (Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics). Copyright © American Physical Society. |
| dc.rights | Creative Commons: Attribution 3.0 Hong Kong License |
| dc.subject | Physics |
| dc.title | Generalized fundamental solutions for unsteady viscous flows |
| dc.type | Article |


