Laminar capillary flow of compressible viscous fluids

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Laminar flow of compressible Newtonian fluids in capillaries is analysed. A perturbation solution is obtained to the vorticity-stream function form of the hydrodynamics equations for weakly compressible flow, having a relatively simple form. In contrast with previous analyses of this flow, we find both a non-zero radial velocity and non-zero radial pressure gradient. Expressions for pressure drop and friction factor are also found that show significant deviations from the incompressible case (Hagen-Poiseuille equation) that arise from both fluid inertia and bulk viscosity.

Original languageEnglish (US)
Pages (from-to)59-80
Number of pages22
JournalJournal of Fluid Mechanics
StatePublished - May 2006
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Condensed Matter Physics
  • Mechanics of Materials
  • Mechanical Engineering
  • Applied Mathematics


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