Steady flow in a channel or tube with an accelerating surface velocity. An exact solution to the Navier-Stokes equations with reverse flow

Journal of Fluid Mechanics

Volumn 112, Issue , 1981, Pages 127-150

  Brady, J F ^a   Acrivos, A ^a  

^a STANFORD UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 17744408669     PISSN: 00221120     EISSN: 14697645     Source Type: Journal    
DOI: 10.1017/S0022112081000323     Document Type: Article

References (17)

1. Batchelor, G. K. 1967 Introduction to Fluid Dynamics, p. 290. Cambridge University Press.
2. Brady, J. F. 1981 Inertial effects in closed cavity flows and their influence on drop breakup. Ph.D. thesis, Stanford University.
3. Brady, J. F. & Aorivos, A. 1981 a Closed cavity laminar flows at moderate Reynolds numbers. J. Fluid Mech. (to appear).
4. Brady, J. F. & Acrivos, A. 1981b The deformation and breakup of a slender drop in exten-sional flow: inertial effects. J. Fluid Mech. (to appear).
5. Crane, L. J. 1970 Flow past a stretching plane. Z. angew. Math. Phys. 21, 645.
6. Proudman, I. 1960 An example of steady laminar flow at large Reynolds number. J. Fluid Mech. 9, 593.
7. Robinson, W. A. 1976 The existence of multiple solutions for the laminar flow in a uniformly porous channel with suction at both walls. J. Eng. Math. 10, 23.
8. Secomb, T. W. 1978 Flow in a channel with pulsating walls. J. Fluid Mech. 88, 273.
9. Skalak, F. M. & Wang, C. Y. 1977 Pulsatile flow in a tube with injection and suction. Appl. Sci. Res. 33, 269.
10. Terrill, R. M. 1964 Laminar flow in a uniformly porous channel. Aero. Quart. 15, 297.
11. Terrill, R. M. 1965 Laminar flow in a uniformly porous channel with large injection. Aero. Quart. 16, 323.
12. Terrill, R. M. 1973 On some exponentially small terms arising in the flow through a porous pipe. Quart. J. Appl. Math. 26, 347.
13. Terrill, R. M. & Thomas, P. W. 1969 On laminar flow through a uniformly porous pipe. Appl. Sci. Res. 21, 37.
14. Terrill, R. M. & Thomas, P. W. 1973 Spiral flow in a porous pipe. Phys. Fluids 16, 356.
15. Van Dyke, M. 1974 Analysis and improvement of perturbation series. Quart. J. Mech. Appl. Math. 27, 423.
16. Van Dyke, M. 1975 Perturbation Methods in Fluid Mechanics, p. 89. Parabolic.
17. Van Dyke, M. 1978 Extended Stokes series: laminar flow through a loosely coiled pipe. J. Fluid Mech. 86, 129.