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B. Pier¹ and R. Govindarajan²
¹Laboratoire de mécanique des fluides et d'acoustique, École centrale de Lyon – CNRS – Université Claude-Bernard Lyon 1 – INSA, 36 avenue Guy-de-Collongue, 69134 Écully cedex, France; ²International Centre for Theoretical Sciences, Tata Institute of Fundamental Research, Survey 151, Shivakote, Hesaraghatta Hobli, Bengaluru 560089, India
Fluid Dynamis Research 50, 031402 (14 pages) (2018)
The dynamics of viscous flow through a rotating pipe is considered. Small-amplitude stability characteristics are obtained by linearizing the Navier–Stokes equations around the base flow and solving the resulting eigenvalue problems. For linearly unstable configurations, the dynamics leads to fully developed finite-amplitude perturbations that are computed by direct numerical simulations of the complete Navier–Stokes equations. By systematically investigating all linearly unstable combinations of streamwise wave number k and and azimuthal mode number m, for streamwise Reynolds numbers REz≤500 and rotational Reynolds numbers REΩ≤500, the complete range of nonlinear travelling waves is obtained and the associated flow fields are characterized.
hal-01693277
2018a_pier_fdr.pdf