Evolving eddy structures in oscillatory Stokes flows in domains with sharp corners

Journal of Fluid Mechanics

Volumn 551, Issue , 2006, Pages 63-92

  Branicki, M ^a   Moffatt, H K ^a  

^a UNIVERSITY OF CAMBRIDGE   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

BOUNDARY LAYER FLOW; BOUNDARY LAYERS; FINITE DIFFERENCE METHOD; OSCILLATIONS; PERTURBATION TECHNIQUES; TOPOLOGY;

CORNER ANALYSIS; FLOW REVERSAL; STOKES FLOW; STREAMLINE TOPOLOGY;

VISCOUS FLOW;

BOUNDARY LAYER FLOW; BOUNDARY LAYERS; FINITE DIFFERENCE METHOD; OSCILLATIONS; PERTURBATION TECHNIQUES; TOPOLOGY; VISCOUS FLOW;

BOUNDARY LAYER; OSCILLATING FLOW; VISCOUS FLOW;

EID: 33646807450     PISSN: 00221120     EISSN: 14697645     Source Type: Journal    
DOI: 10.1017/S002211200500827X     Document Type: Article

References (16)

1. Barenblatt, G. I. 1996 Scaling, Self-Similarity, and Intermediate Asymptotics. Cambridge University Press.
2. Goodier, J. N. 1934 An analogy between the slow motion of a viscous fluid in two dimensions, and systems of plane stress. Phil. Mag. (7) 17, 554-576.
3. Kantorovich, L. V. & Krylov, V. I. 1958 Approximate Methods of Higher Analysis. Noordhoff Groningen.
4. Mathieu, E. 1881 Memoiré sur l'équilibre d'élasticité d'un prisme rectangle. J. École Polytéchnique 30, 173-196.
5. Meleshko, V. V. 1996 Steady Stokes flow in a rectangular cavity. Proc. R. Soc. Lond. A 452, 1999-2022.
6. Moffatt, H. K. 1964 Viscous and resistive eddies near a sharp corner. J. Fluid Mech. 18, 1-18.
7. Moffatt, H. K. 1979 The asymptotic behaviour of solutions of the Navier-Stokes equations near sharp corners. In Approximation Methods for Navier-Stokes Problems. Lecture Notes in Mathematics, vol. 771 (ed. R. Rautman), pp. 371-380. Springer.
8. Moffatt, H. K. & Duffy, B. R. 1980 Local similarity solutions and their limitations. J. Fluid Mech. 96, 299-313.
9. Shankar, P. N. 1993 The eddy structure in Stokes flow in a cavity. J. Fluid Mech. 250, 371-383.
10. Shankar, P. N., Kidambi, R. & Hariharan, J. 2003 Oscillatory eddy structure in a container. J. Fluid Mech. 494, 163-185.
11. Stephenson, J. W. 1984 Single cell discretisations of order two and four for biharmonic problems. J. Comput. Phys. 55, 65-80.
12. Stokes, G. G. 1843 On some cases of fluid motion. Trans. Camb. Phil. Soc. VIII, 105
13. Reprinted in Mathematical and Physical Papers, vol. I, pp. 17-68, Cambridge University Press, 1880.
14. Taylor, G. I. 1962 On scraping viscous fluid from a plane surface.
15. Reprinted in Scientific Papers of G. I Taylor, Vol. IV, pp. 410-413, Cambridge University Press, 1971.
16. Timoshenko, S. P. & Goodier, J. N. 1970 Theory of Elasticity, 3rd edn. McGraw-Hill.