Research / Turbulent pipe expansions

Turbulent pipe expansions

Separated flows behind steps and expansions set pressure loss, mixing and transport in pipes and ducts. I study how the geometry of an axisymmetric expansion reorganizes the turbulence that follows.

Mean velocity with streamlines behind a step and a wedge pipe expansion
Mean streamwise velocity with streamlines (left) and radial velocity (right) behind an abrupt 90° step (top) and a gradual 45° wedge (bottom). From Jose, Friedmann, Feld & Ram, Phys. Rev. Fluids (2026).

Using refractive-index-matched stereo PIV, I compare abrupt (90°) and gradual (45°) axisymmetric pipe expansions with an area ratio of 2.56 at step-height Reynolds numbers of 25,000 and 35,000. The gradual expansion gives higher turbulence, broader shear layers and stronger anisotropy, because its return flow follows the sloped wall and meets the free stream obliquely. In the abrupt expansion, a secondary vortex disrupts the return flow and reduces turbulence production.

Time-resolved PIV, space–time correlations and Lagrangian coherent structures show that geometry changes how coherent structures are transported near separation, and that these differences fade toward reattachment.

Forward-time FTLE field with bright filaments in a turbulent shear layer
Forward-time finite-time Lyapunov exponent field behind the step expansion at a step-height Reynolds number of 25,000. From Jose, Friedmann & Ram, Phys. Rev. Fluids (2026), accepted.