A fast numerical scheme for the Poiseuille flow in a concentric annulus

Raja Huilgol, Georgios Georgiou

Research output: Contribution to journalArticlepeer-review


A fast numerical scheme is proposed to determine the velocity field of an incompressible fluid in a concentric annulus under a constant pressure gradient. The idea behind the scheme is to find the radius R in the annulus where the shear stress becomes zero. In the region from the inner wall at R=κ to R, the shear rate is positive, while it is negative from this radius to the outer wall at r=1. Integrating the velocity field from the inner wall, where it is zero, one determines its value at R. This acts as the initial value for the integration of the shear rate over the second region, where the velocity must decrease to zero at the outer wall. Choosing a value for R, iterations continue to find its optimal value till the velocity on the outer wall vanishes to within an acceptable error term, which is 10
Original languageEnglish
Pages (from-to)104401
Number of pages7
JournalJournal of Non-Newtonian Fluid Mechanics
Publication statusPublished - Nov 2020


  • Poiseuille flow
  • Concentric annulus
  • Numerical scheme
  • Generalised Newtonian fluids
  • Viscoplastic fluids
  • PTT fluid

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