Bifurcation phenomena in the flow through a sudden expansion in a circular pipe

ORAL

Abstract

We report the results of an experimental investigation of laminar and time-dependent flows through a sudden expansion in a circular pipe. The flow state was investigated using high resolution MRI imaging techniques which have allowed us to settle a long standing debate on the first instability that occurs. As \textit{Re} is increased, the flow passes through a steady symmetry breaking bifurcation such that the position of the recirculating eddy becomes asymmetric within the pipe. This in turn gives way to simple periodic motion via a Hopf bifurcation with further increase in \textit{Re}.

Authors

  • James Seddon

    Manchester Centre for Nonlinear Dynamics, University of Manchester, UK.

  • Tom Mullin

    University of Manchester, Manchester Centre for Nonlinear Dynamics, University of Manchester, UK.

  • Mick Mantle

    Magnetic Resonance Research Centre, University of Cambridge, UK.

  • Andy Sederman

    Magnetic Resonance Research Centre, University of Cambridge, UK.