Abstract
Since the well-known experiments of Reynolds in 1883 on transition of laminar to turbulent flow in a cylindrical pipe this problem has been studied without success. The main reason for this failure is the fact that laminar pipe flow is found to be stable for infinitesimal perturbations. Therefore transition can only follow from finite perturbations. This requires a nonlinear theory which at the moment is not available.
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References
A.A. Draad, G.D.C. Kuiken and F.T.M. Nieuwstadt (1998) Laminar-turbulent transition in pipe flow for Newtonian and non-Newtonian fluids. submitted to J. Fluid Mech..
H. Shan, B. Ma, Z. Zhang and F.T.M. Nieuwstadt (1998) Direct Numerical Simulation of a Puff and Slug in Transitional Cylindrical Pipe Flow, J. Fluid Mech. under revision.
J. Nordtröm, N. Nordin and D. Henningson (1998) The fringe region technique and the Fourier method used in the Direct Numerical Simulation of spatially evolving viscous flows, to appear in SIAM J. Sci. Comp.
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© 1998 Springer Science+Business Media Dordrecht
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Nieuwstadt, F.T.M., Ma, B., Zhaoshun, Z. (1998). Numerical Simulation of the Evolution of Non-Axisymmetric Disturbances in Cylindrical Laminar Pipe Flow. In: Frisch, U. (eds) Advances in Turbulence VII. Fluid Mechanics and Its Applications, vol 46. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-5118-4_44
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DOI: https://doi.org/10.1007/978-94-011-5118-4_44
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