Oscillatory flow near a stagnation point

SIAM Journal on Applied Mathematics

Volumn 63, Issue 5, 2003, Pages 1604-1614

  Blyth, M G ^a   Hall, P ^b  

^a UNIVERSITY OF EAST ANGLIA   (United Kingdom)

^b IMPERIAL COLLEGE LONDON   (United Kingdom)

Author keywords

Boundary layer; Stagnation point; Steady streaming

Indexed keywords

AMPLITUDE MODULATION; BOUNDARY LAYERS; COMPUTER SIMULATION; FREQUENCY MODULATION; STREAM FLOW; UNSTEADY FLOW;

OSCILLATORY FLOW; STAGNATION POINT;

INCOMPRESSIBLE FLOW;

EID: 0344896652     PISSN: 00361399     EISSN: None     Source Type: Journal    
DOI: 10.1137/S0036139902408175     Document Type: Article

References (20)

1. G. K. BATCHELOR, An Introduction to Fluid Dynamics, Cambridge University Press, Cambridge, UK, 1967.
2. J. T. STUART, Double boundary layers in oscillatory viscous flow, J. Fluid Mech., 24 (1966), pp. 673-687.
3. H. SCHLICHTING, Berechnung ebener periodischer Grenzschichtströmungen, Phys. Z., 33 (1932), pp. 327-335.
4. E. ERTURK AND T. C. CORKE, Boundary layer leading-edge receptivity to sound at incidence angles, J. Fluid Mech., 444 (2001), pp. 383-407.
5. M. V. MORKOVIN, Instability, transition to turbulence and predictability, AGARDograph, 236, 1978.
6. C. E. GROSCH AND H. SALWEN, Oscillating stagnation point flow, Proc. Roy. Soc. London A, 384 (1982), pp. 175-190.
7. G. J. MERCHANT AND S. H. DAVIS, Modulated stagnation point flow and steady streaming, J. Fluid Mech., 198 (1989), pp. 543-555.
8. Y. MATUNOBU, Structure of pulsatile Hiemenz flow and temporal variations of wall shear stress near the stagnation point II, J. Phys. Soc. Japan, 43 (1977), pp. 326-329.
9. T. J. PEDLEY, Two-dimensional boundary layers in a free stream which oscillates without reversing, J. Fluid Mech., 55 (1972), pp. 359-383.
10. M. ISHIGAKI, Periodic boundary layer near a two-dimensional stagnation point, J. Fluid Mech., 43 (1970), pp. 477-486.
11. M. J. LIGHTHILL, The response of laminar skin friction and heat transfer to fluctuations in stream velocity, Proc. Roy. Soc. London A, 224 (1954), pp. 1-23.
12. N. RILEY, Oscillating viscous flows, Mathematika, 12 (1965), pp. 161-175.
13. P. HALL AND D. T. PAPAGEORGIOU, The onset of chaos in a class of Navier-Stokes solutions, J. Fluid Mech., 393 (1999), pp. 59-87.
14. K. STEWARTSON, C. J. SIMPSON, AND R. J. BODONYI, The unsteady boundary layer on a rotating disk in a counter-rotating fluid. Part 2, J. Fluid Mech., 121 (1982), pp. 507-515.
15. N. RILEY AND R. VASANTHA, An unsteady stagnation point flow. Quart. J. Mech. Appl. Math., 42 (1988), pp. 511-521.
16. W. H. H. BANKS AND M. B. ZATURSKA, The collision of unsteady laminar boundary layers, J. Engrg. Math., 13 (1979), pp. 193-212.
17. K. STEWARTSON AND R. J. BODONYI, The unsteady laminar boundary layer on a rotating disk in a counter-rotating fluid., J. Fluid Mech., 79 (1977), pp. 669-688.
18. H. OCKENDON, An asymptotic solution for steady flow above an infinite rotating disc with suction, Quart. J. Mech. Appl. Math., 25 (1972), pp. 291-301.
19. N. RILEY AND P. D. WEIDMAN, Multiple solutions of the Falkner-Skan equation for flow past a stretching boundary, SIAM J. Appl. Math., 49 (1989), pp. 1350-1358.
20. N. RILEY, Unsteady flow at a stagnation point, J. Fluid Mech., 256 (1993), pp. 487-498.