The unsteady stokeslet and oseenlet

Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering

Volumn 214, Issue 1, 2000, Pages 175-179

  Chan, A T ^a   Chwang, A T ^a  

^a UNIVERSITY OF HONG KONG   (Hong Kong)

Author keywords

Singularity method; Unsteady oseenlet; Unsteady stokeslet

Indexed keywords

MATHEMATICAL ANALYSIS; UNSTEADY FLOW;

EID: 0034067426     PISSN: 09544062     EISSN: None     Source Type: Journal    
DOI: 10.1243/0954406001522895     Document Type: Article

References (18)

1. Bentwich, M. and Miloh, T. The unsteady matched Stokes-Oseen solution for the flow past a sphere. J. Fluid Mechanics, 1978, 88, 17-32.
2. Lawrence, C. J. and Weinbaum, S. The force on an axisymmetric body in linearized, time-dependent motion: a new memory term. J. Fluid Mechanics, 1986, 171, 209-218.
3. Lawrence, C. J. and Weinbaum, S. The unsteady force on a body at low Reynolds number: the axisymmetric motion of a spheroid. J. Fluid Mechanics, 1988, 189, 468-489.
4. Lovalenti, P. M. and Brady, J. F. The hydrodynamic force on a rigid particle undergoing arbitrary time-dependent motion at small Reynolds number. J. Fluid Mechanics, 1993, 256, 561-605.
5. Sozou, C. and Pickering, W. M. The round laminar jet: the development of the flow field. J. Fluid Mechanics, 1977, 80, 673-683.
6. Sozou, C. Development of the flow field of a point force in an infinite fluid. J. Fluid Mechanics, 1979, 91, 541-546.
7. Hwang, W. S. and Chwang, A. T. The development of a swirling round laminar jet. Physics Fluids A, 1991, 3, 986-988.
8. Sano, T. Unsteady flow past a sphere at low Reynolds number. J. Fluid Mechanics, 1981, 112, 433-441.
9. Blake, J. R. and Chwang, A. T. Fundamental singularities of viscous flow. Part I: the image system in the vicinity of a stationary no-slip boundary. J. Engng Math., 1974, 8, 23-29.
10. Chwang, A. T. and Wu, T. Y. Hydromechanics of low-Reynolds-number flow. Part 2: singularity method for Stokes flow. J. Fluid Mechanics, 1974, 67, 787-815.
11. Chwang, A. T. and Wu, T. Y. Hydromechanics of low-Reynolds-number flow. Part 4: translation of spheroids. J. Fluid Mechanics, 1976, 75, 677-689.
12. Dabroš, T. A singularity method for calculating hydrodynamic forces and particle velocities in low-Reynolds-number flows. J. Fluid Mechanics, 1985, 156, 1-21.
13. Clauser, F. H. Characteristic modes and fundamental singularities of partial differential equations. Physics Fluids, 1983, 26, 2787-2800.
14. Price, W. G. and Tan, M. Applications of viscous boundary element method in hydrodynamic problems relating to manoeuvring bodies. In Proceedings of the 19th Symposium on Naval Hydrodynamics, 1992, pp. 437-447.
15. Price, W. G. and Tan, M. Fundamental viscous solutions or transient oseenlets associated with a body manoeuvring in a viscous fluid. Proc. R. Soc. Lond. A, 1992, 438, 447-466.
16. Carslaw, H. J. and Jaegar, J. C. Conduction of Heat in Solids, 1959 (Oxford University Press, London).
17. Moore, F. K. Laminar Flow Theory, 1960 (Princeton Press, Princeton, New Jersey).
18. Murata, S., Miyake, Y., Tsujimoto, Y. and Yamamoto, F. Study of three-dimensional unsteady Oseen flow. J. Fluid Mechanics, 1978, 86, 609-622.