On the compressible bidirectional vortex

Brian Allen Maicke, Joseph Majdalani

Research output: Chapter in Book/Report/Conference proceedingConference contribution

8 Citations (Scopus)

Abstract

The purpose of this paper is to develop a theoretical solution that describes the compressible bidirectional vortex. Similar studies by the authors have extended the Taylor and Culick profiles to incorporate the effects of compressibility in porous channels and tubes. Our study is prompted by the need to better understand the flow behavior at high speed in swirl-driven thrust chambers in which a reversing cyclonic motion is established. Such chambers have the advantage of promoting mixing, efficiency, and internal wall cooling. This is accomplished by confining combustion to an inner vortex tube that remains separated from the chamber walls by an outer stream of swirling, low temperature oxidizer. Our closed-form analytical solution is based on steady, rotational, axisymmetric, compressible, and inviscid flow conditions. It is constructed using a Rayleigh-Janzen expansion in the injection Mach number. At the outset, the compressible axial and radial velocities are captured along with the mantle movement at various Mach numbers and vortex Reynolds numbers. In view of the underlying assumption of axisymmetry, all properties are held constant about the chamber axis. We find that, so long as this condition is maintained, the swirl velocity remains invariant in the tangential direction.

Original languageEnglish (US)
Title of host publication44th AIAA/ASME/SAE/ASEE Joint Propulsion Conference and Exhibit
StatePublished - 2008
Event44th AIAA/ASME/SAE/ASEE Joint Propulsion Conference and Exhibit - Hartford, CT, United States
Duration: Jul 21 2008Jul 23 2008

Other

Other44th AIAA/ASME/SAE/ASEE Joint Propulsion Conference and Exhibit
CountryUnited States
CityHartford, CT
Period7/21/087/23/08

Fingerprint

vortex
Vortex flow
chambers
vortices
Mach number
thrust chambers
rotational flow
vortex tubes
axisymmetric flow
inviscid flow
compressible flow
swirling
oxidizers
reversing
steady flow
compressibility
Compressibility
Reynolds number
confining
radial velocity

All Science Journal Classification (ASJC) codes

  • Aerospace Engineering
  • Control and Systems Engineering
  • Space and Planetary Science
  • Energy(all)
  • Electrical and Electronic Engineering
  • Mechanical Engineering

Cite this

Maicke, B. A., & Majdalani, J. (2008). On the compressible bidirectional vortex. In 44th AIAA/ASME/SAE/ASEE Joint Propulsion Conference and Exhibit
Maicke, Brian Allen ; Majdalani, Joseph. / On the compressible bidirectional vortex. 44th AIAA/ASME/SAE/ASEE Joint Propulsion Conference and Exhibit. 2008.
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Maicke, BA & Majdalani, J 2008, On the compressible bidirectional vortex. in 44th AIAA/ASME/SAE/ASEE Joint Propulsion Conference and Exhibit. 44th AIAA/ASME/SAE/ASEE Joint Propulsion Conference and Exhibit, Hartford, CT, United States, 7/21/08.

On the compressible bidirectional vortex. / Maicke, Brian Allen; Majdalani, Joseph.

44th AIAA/ASME/SAE/ASEE Joint Propulsion Conference and Exhibit. 2008.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

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PY - 2008

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Maicke BA, Majdalani J. On the compressible bidirectional vortex. In 44th AIAA/ASME/SAE/ASEE Joint Propulsion Conference and Exhibit. 2008