Research Papers: Fundamental Issues and Canonical Flows

Rotational and Quasiviscous Cold Flow Models for Axisymmetric Hybrid Propellant Chambers

[+] Author and Article Information
Joseph Majdalani

Mechanical, Aerospace and Biomedical Engineering Department, University of Tennessee Space Institute, Tullahoma, TN 37388maji@utsi.edu

Michel Akiki

Mechanical, Aerospace and Biomedical Engineering Department, University of Tennessee Space Institute, Tullahoma, TN 37388

J. Fluids Eng 132(10), 101202 (Oct 12, 2010) (7 pages) doi:10.1115/1.4002397 History: Received May 02, 2009; Revised August 16, 2010; Published October 12, 2010; Online October 12, 2010

In this work, we present two simple mean flow solutions that mimic the bulk gas motion inside a full-length, cylindrical hybrid rocket engine. Two distinct methods are used. The first is based on steady, axisymmetric, rotational, and incompressible flow conditions. It leads to an Eulerian solution that observes the normal sidewall mass injection condition while assuming a sinusoidal injection profile at the head end wall. The second approach constitutes a slight improvement over the first in its inclusion of viscous effects. At the outset, a first order viscous approximation is constructed using regular perturbations in the reciprocal of the wall injection Reynolds number. The asymptotic approximation is derived from a general similarity reduced Navier–Stokes equation for a viscous tube with regressing porous walls. It is then compared and shown to agree remarkably well with two existing solutions. The resulting formulations enable us to model the streamtubes observed in conventional hybrid engines in which the parallel motion of gaseous oxidizer is coupled with the cross-streamwise (i.e., sidewall) addition of solid fuel. Furthermore, estimates for pressure, velocity, and vorticity distributions in the simulated engine are provided in closed form. Our idealized hybrid engine is modeled as a porous circular-port chamber with head end injection. The mathematical treatment is based on a standard similarity approach that is tailored to permit sinusoidal injection at the head end.

Copyright © 2010 by American Society of Mechanical Engineers
Your Session has timed out. Please sign back in to continue.



Grahic Jump Location
Figure 1

Schematic of the circular-port hybrid rocket

Grahic Jump Location
Figure 2

Decreasing fuel concentration zones above solid surface during hybrid grain pyrolysis

Grahic Jump Location
Figure 3

Sketch of the rotational full-length hybrid model depicting mass addition along both sidewall and endwall boundaries. Here the oxidizer injection at the head end corresponds to a sinusoidal profile.

Grahic Jump Location
Figure 4

Rotational streamlines shown for two increasing head end injection parameters. The inset in part (c) corresponds to a magnified section of part (b) illustrating the normal sidewall injection feature.

Grahic Jump Location
Figure 5

Description of (a) axial and (b) radial velocities in addition to (c) vorticity and (d) pressure drop at the chamber’s head end. Both axial velocity and vorticity are shown at a fixed axial position.

Grahic Jump Location
Figure 6

Description of (a) the main characteristic function F along with the corresponding (b) axial and (c) radial velocities. Broken lines depict the flow where ε=0.02, 0.1 and 0.2 whereas solid lines correspond to the inviscid flow field.

Grahic Jump Location
Figure 7

Comparison between the present solution and those obtained by Yuan and Finkelstein (33) and Terrill and Thomas (34)



Some tools below are only available to our subscribers or users with an online account.

Related Content

Customize your page view by dragging and repositioning the boxes below.

Related Journal Articles
Related eBook Content
Topic Collections

Sorry! You do not have access to this content. For assistance or to subscribe, please contact us:

  • TELEPHONE: 1-800-843-2763 (Toll-free in the USA)
  • EMAIL: asmedigitalcollection@asme.org
Sign In