On the rotational compressible Taylor flow in injection-driven porous chambers

Brian A. Maicke, Joseph Majdalani

Research output: Contribution to journalArticlepeer-review

41 Scopus citations

Abstract

This work considers the compressible flow field established in a rectangular porous channel. Our treatment is based on a Rayleigh - Janzen perturbation applied to the inviscid steady two-dimensional isentropic flow equations. Closed-form expressions are then derived for the main properties of interest. Our analytical results are verified via numerical simulation, with laminar and turbulent models, and with available experimental data. They are also compared to existing one-dimensional theory and to a previous numerical pseudo-one-dimensional approach. Our analysis captures the steepening of the velocity profiles that has been reported in several studies using either computational or experimental approaches. Finally, explicit criteria are presented to quantify the effects of compressibility in two-dimensional injection-driven chambers such as those used to model slab rocket motors.

Original languageEnglish (US)
Pages (from-to)391-411
Number of pages21
JournalJournal of Fluid Mechanics
Volume603
DOIs
StatePublished - May 2008

All Science Journal Classification (ASJC) codes

  • Condensed Matter Physics
  • Mechanics of Materials
  • Mechanical Engineering

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