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

Published online by Cambridge University Press:  30 April 2008

BRIAN A. MAICKE  and
JOSEPH MAJDALANI
BRIAN A. MAICKE
Affiliation:
Department of Mechanical, Aerospace, and Biomedical Engineering, University of Tennessee Space Institute, Tullahoma, TN 37388, USA
JOSEPH MAJDALANI*
Affiliation:
Department of Mechanical, Aerospace, and Biomedical Engineering, University of Tennessee Space Institute, Tullahoma, TN 37388, USA
*
†Author to whom correspondence should be addressed: [email protected].
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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.

Type
Papers
Information
Journal of Fluid Mechanics , Volume 603 , 25 May 2008 , pp. 391 - 411
Copyright
Copyright © Cambridge University Press 2008

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References

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