Start-up plane Poiseuille flow of a Bingham fluid

Raja R. Huilgol, Andreas N. Alexandrou, Georgios C. Georgiou

Research output: Contribution to journalArticlepeer-review

6 Citations (Scopus)


The start-up flow of a Bingham plastic in a channel is considered and Safronchik's solution [1] for the initial evolution of the yield surface and the core velocity is revisited. Stricter time bounds for the validity of the above solution are derived and the solution is extended to include the velocity profile in the evolving yielded zone. Comparisons are made with another approximate solution derived under the assumption that the velocity in the yielded zone is parabolic adjusting with the evolving yield surface. This approximation performs well for small values of the yield stress, or, equivalently, for large values of the imposed pressure gradient.

Original languageEnglish
Pages (from-to)133-139
Number of pages7
JournalJournal of Non-Newtonian Fluid Mechanics
Early online date27 Oct 2018
Publication statusPublished - Mar 2019


  • analytical solution
  • Bingham plastic
  • plane Poiseuille flow
  • start-up flow


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