The transition from a laminar to a turbulent flow in highly accelerated start-up pipe flows is described. In these flows, turbulence springs up simultaneously over the entire length of the pipe near the wall. The unsteady boundary layer in the pipe was analyzed theoretically with the Laplace transformation method and the asymptotic method for small values of time. From the experimental results available, relationships between the flow parameters and the transition time were derived. These relationships are characterized by the analytical forms. A physical explanation for the regularities in the turbulence spring-up time is proposed.
Issue Section:
Technical Papers
1.
Leutheusser
, H. J.
, and Lam
, K. W.
, 1977, “Laminar-to-Turbulent Transition in Accelerated Fluid Motion
,” Proc. of 17th Cong. IAHR
, Baden-Baden
, Germany
, Institute for Hydrology and Water Management, Karlsruhe University
, Karlsruhe
, Vol. 2
, pp. 343
–350
.2.
Koppel
, T. A.
, and Liiv
, U. R.
, 1977, “Experimental Investigation of the Development of Motion of Liquid in Conduits
,” Fluid Dyn.
0015-4628, 12
(6
), pp. 881
–887
.3.
Maruyama
, T.
, Kato
, Y.
, and Mizushina
, T.
, 1978, “Transition to Turbulence in Starting Pipe Flow
,” J. Chem. Eng. Jpn.
0021-9592, 11
, pp. 346
–353
.4.
Ainola
, L.
, Koppel
, T.
, Lamp
, J.
, and Liiv
, U.
, 1981, “On the Criteria of the Transition From Laminar to Turbulent in Starting Pipe Flow
,” Trans. Tallinn Polyt. Inst.
, 505
, pp. 17
–29
(in Russian).5.
Kurakawa
, J.
, and Tanagi
, A.
, 1988, “Accelerated and Decelerated Flows in a Circular Pipe
,” Trans. Jpn. Soc. Mech. Eng., Ser. B
0387-5016, B54
, pp. 302
–307
.6.
Moss
, E. A.
, 1989, “The Identification of Two Distinct Laminar to Turbulent Transition Modes in Pipe Flows Accelerated From Rest
,” Exp. Fluids
0723-4864, 7
, pp. 271
–274
.7.
Lefebre
, P. J.
, and White
, F. M.
, 1989, “Experiments of Transition to Turbulence in a Constant-Acceleration Pipe Flow
,” ASME J. Fluids Eng.
0098-2202, 111
, pp. 428
–432
.8.
Moss
, E. A.
, and da Silva
, D. F.
, 1993, “The Evolution of Unstable Region in Impulsively Started Pipe Entrance Flows
,” Phys. Fluids A
0899-8213 A5
, pp. 2721
–2724
.9.
Das
, D.
, and Arakeri
, J. H.
, 1998, “Transition of Unsteady Velocity Profiles With Reverse Flow
,” J. Fluid Mech.
0022-1120 374
, pp. 251
–283
.10.
Greenblatt
, D.
, and Moss
, E. A.
, 2003, “Rapid Transition to Turbulence in Pipe Flows Accelerated From Rest
,” ASME J. Fluids Eng.
0098-2202, 125
, pp. 1072
–1075
.11.
He
, S.
, and Jackson
, J. D.
, 2000, “A Study of Turbulence Under Conditions of Transient Flow in a Pipe
,” J. Fluid Mech.
0022-1120, 408
, pp. 1
–38
.12.
Ghidaoui
, M. S.
, and Kolyshkin
, A. A.
, 2002, “A Quasi-Steady Approach to the Instability of Time-Dependent Flows in Pipes
,” J. Fluid Mech.
0022-1120 465
, pp. 301
–330
.13.
Telionis
, D. P.
, 1981, Unsteady Viscous Flows
, Springer-Verlag
, Berlin.Copyright © 2006
by American Society of Mechanical Engineers
You do not currently have access to this content.
