title: Flow around a rotating, semi-infinite cylinder in an axial stream.
abstract: This paper concerns steady, high-Reynolds-number flow around a semi-infinite, rotating cylinder placed in an axial stream and uses boundary-layer type of equations which apply even when the boundary-layer thickness is comparable to the cylinder radius, as indeed it is at large enough downstream distances. At large rotation rates, it is found that a wall jet appears over a certain range of downstream locations. This jet strengthens with increasing rotation, but first strengthens then weakens as downstream distance increases, eventually disappearing, so the flow recovers a profile qualitatively similar to a classical boundary layer. The asymptotic solution at large streamwise distances is obtained as an expansion in inverse powers of the logarithm of the distance. It is found that the asymptotic radial and axial velocity components are the same as for a non-rotating cylinder, to all orders in this expansion.
authors.affiliation: Laboratoire de mécanique des fluides et d'acoustique (École centrale de Lyon-CNRS-Université de Lyon 1-INSA Lyon) , 36 avenue Guy-de-Collongue, 69134 Écully, France.
authors.forename: S Derebail
authors.initials: SD
authors.lastname: Muralidhar
authors.affiliation: Laboratoire de mécanique des fluides et d'acoustique (École centrale de Lyon-CNRS-Université de Lyon 1-INSA Lyon) , 36 avenue Guy-de-Collongue, 69134 Écully, France.
authors.forename: B
authors.identifier: 0000-0001-8663-8694
authors.initials: B
authors.lastname: Pier
authors.affiliation: Laboratoire de mécanique des fluides et d'acoustique (École centrale de Lyon-CNRS-Université de Lyon 1-INSA Lyon) , 36 avenue Guy-de-Collongue, 69134 Écully, France.
authors.forename: J F
authors.initials: JF
authors.lastname: Scott
authors.affiliation: Centre for Interdisciplinary Sciences , Tata Institute of Fundamental Research , 21 Brundavan Colony, Narsingi, Hyderabad 500075, India.
authors.forename: R
authors.initials: R
authors.lastname: Govindarajan
keywords: asymptotic analysis; boundary layer; rotating body; wall jet