Fully developed bubbly two-phase flow through a pipe: An analytical solution

Waqas Ali, Mubbashar Nazeer, Ahmed Zeeshan

Research output: Chapter in Book/Report/Conference proceedingConference contributionAcademicpeer-review

17 Downloads (Pure)


In this work, a novel homotopy analysis method for the solution of two-fluid models is presented. A fully developed bubbly through a pipe is considered. Different physical and mathematical properties of the two-fluid model were identified. The problem was solved in the central region of the pipe where the wall forces were neglected, which implies that void fractions and velocity profiles are not affected by the wall. The system of equations was reduced to a single equation without parameters with an intrinsic length scale L. Away from the wall of the pipe, the flat void fraction depends on the applied pressure gradient, the density of different phases and gravity. It was also found that the effective specific weight of the fluid column was cancelled by the pressure gradient.

Original languageEnglish
Title of host publicationComputational and Experimental Methods in Multiphase and Complex Flow X
EditorsS. Hernández, P. Vorobieff
Number of pages10
ISBN (Print)9781784663292
Publication statusPublished - 2019
Event10th Conference on Multiphase flow, ICMF 2019 - Rio de Janeiro, Brazil
Duration: 19 May 201924 May 2019

Publication series

NameWIT Transactions on Engineering Sciences
ISSN (Print)1743-3533


Conference10th Conference on Multiphase flow, ICMF 2019
CityRio de Janeiro


  • Bubbly flow
  • Fully developed flow
  • Laminar flow
  • Two-fluid model
  • Two-phase flow


Dive into the research topics of 'Fully developed bubbly two-phase flow through a pipe: An analytical solution'. Together they form a unique fingerprint.

Cite this