Direct numerical simulation of transition in pipe flow under the influence of wall disturbances

International Journal of Heat and Fluid Flow

Volumn 19, Issue 4, 1998, Pages 320-325

  Shan, H ^a   Zhang, Z ^a   Nieuwstadt, F T M ^b  

^a TSINGHUA UNIVERSITY   (China)

^b DELFT UNIVERSITY OF TECHNOLOGY   (Netherlands)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTER SIMULATION; KINETIC ENERGY; LAMINAR FLOW; PIPE FLOW; REYNOLDS NUMBER; TURBULENT FLOW; VELOCITY; VISCOSITY; VORTEX FLOW;

PERIODIC ROUGHNESS ELEMENT; WALL DISTURBANCES;

TRANSITION FLOW;

MATHEMATICAL MODELING; PIPE FLOW;

FLOW MODELING; MATHEMATICAL METHOD; PIPE FLOW; TURBULENT FLOW;

EID: 0032144407     PISSN: 0142727X     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0142-727X(98)10008-5     Document Type: Article

References (15)

1. Davey, A., Drazin, P.G., 1969. The stability of Poiseuille flow in a pipe. J. Fluid Mech. 36 (2), 208-218.
2. Davey, A., Nguyen, H.P.F., 1971. Finite-amplitude stability of pipe flow. J. Fluid Mech. 45 (4), 701-720.
3. Baggett, J.S., Trefethen, L.N., 1997. Low-dimensional models of subcritical transition to turbulence. Phys. Fluids 9, 1043-1053.
4. Bandyopadhyah, P.R., 1986. Aspects of the equilibrium puff in transitional pipe flow. J. Fluid Mech. 163, 439-458.
5. Eggels, J.G.M., Unger, F., Weiss, M.H., Westerweel, J., Adrian, R.J., Friedrich, R., Nieuwstadt, F.T.M., 1994. Fully developed pipe flow, a comparison between direct numerical simulation and experiment. J. Fluid Mech. 268, 175-209.
6. Gill, A.E., 1965. On the behaviour of small disturbances to Poiseuille flow in circular pipe. J. Fluid Mech. 21, 145-172.
7. Karniadakis, G.E., Israeli, M., Orszag, S.A., 1991. High-order splitting methods for the incompressible Navier-Stokes equations. J. Comput. Phys. 97, 414-443.
8. Lessen, M., Sadler, S.G., Liu, T.Y., 1968. Stability of pipe Poiseuille flow. Phys. Fluids 11 (7), 1404-1409.
9. O'Sullivan, P.L., Breuer, K.S., 1994a. Transient growth in circular pipe flow. I. Linear disturbances. Phys. Fluids 6 (11), 3643-3651.
10. O'Sullivan, P.L., Breuer, K.S., 1994b. Transient growth in circular pipe flow. II. Nonlinear development. Phys. Fluids 6 (11), 3652-3665.
11. Trefethen, L.N., Trefethen, A.E., Reddy, S.C., Driscoll, T.A., 1993. Hydrodynamic stability without eigenvalues. Science 261, 578-584.
12. Patera, A.T., Orszag, S.A., 1981. Finite-amplitude stability of axisymmetric pipe flow. J. Fluid Mech. 112, 467-474.
13. Salwen, H., Cotton, F.W., Grosch, C.E., 1980. Linear stability of Poiseuille flow in circular pipe. J. Fluid Mech. 98 (2), 273-284.
14. Shan, H., Zhang, Z., Nieuwstadt, F.T.M., 1998. Direct numerical simulation of a puff and slug in transitional cylindrical pipe flow. J. Fluid Mech. (Submitted).
15. Smith, F.T., Bodonyi, R.J., 1982. Amplitude-dependent neutral modes in Hagen-Poiseuille flow. Proc. R. Soc. Lond. A384, 463-489.