Scaling Parameters for Hypersonic Flow: Correlation of Sphere Drag Data

Macrossan, M. N. (2007). Scaling Parameters for Hypersonic Flow: Correlation of Sphere Drag Data. In: Ivanov, M. S. and Rebrov, A. K., 25th International Symposium on Rarefied Gas Dynamics. 25th International Symposium on Rarefied Gas Dynamics, St. Petersburg, Russia., (759-764). 21-28 July, 2006.

Attached Files (Some files may be inaccessible until you login with your UQ eSpace credentials)
Name Description MIMEType Size Downloads
macrossan0989.pdf macrossan0989.pdf Click to show the corresponding preview/stream application/pdf 109.91KB 1405
Author Macrossan, M. N.
Title of paper Scaling Parameters for Hypersonic Flow: Correlation of Sphere Drag Data
Conference name 25th International Symposium on Rarefied Gas Dynamics
Conference location St. Petersburg, Russia.
Conference dates 21-28 July, 2006
Convener Ivanov, M.S.
Proceedings title 25th International Symposium on Rarefied Gas Dynamics
Place of Publication Russia
Publisher Siberian Branch of the Russian Academy of Sciences
Publication Year 2007
Year available 2007
Sub-type Fully published paper
ISBN 978-5-7692-0924-6
Editor Ivanov, M. S.
Rebrov, A. K.
Volume 1
Start page 759
End page 764
Total pages 5
Collection year 2008
Language eng
Abstract/Summary Various parameters have been suggested as correlation parameters for high-speed rarefied flow, or as indicators of when rarefaction effects make the Navier-Stokes equations invalid. We consider Tsien's (1946) parameter, Cheng's (1961) rarefaction parameter, Bird's (1971) breakdown parameter, and a form of the viscous interaction parameter from shock-boundary layer theory. We show how all these parameters may be derived from the Boltzmann equation and interpreted in terms of the ratio of mean time between molecular collisions and a characteristic flow time, or as the ratio of typical shear stress to pressure in the flow. Tsien's parameter (M/sqrt{Re}) is proportional to the square root of (M Kn) or (S Kn) and is a better correlation parameter than the Knudsen number alone (Kn). Cheng's parameter (C*M^2/Re), as well as the closely related viscous interaction parameter, is a modified form of Tsien's parameter. The modification factor (C* = mu* T/mu T*), accounts for the effective molecular size or collision cross-section in a characteristic region of the flow. We consider the drag coefficient for spheres in hypersonic flow as calculated with DSMC by various authors and show that Cheng's appears to be the best correlation parameter for this data.
Subjects 240502 Fluid Physics
290299 Aerospace Engineering not elsewhere classified
780102 Physical sciences
E1
290501 Mechanical Engineering
Keyword DSMC
breakdown
Tsein's parameter
Cheng's parameter
heat transfer
drag
rarefied
hypersonic.
Q-Index Code E1
Additional Notes This a condensed an update version of "Scaling Parameters In Rarefied Flow And the Breakdown Of The Navier-Stokes Equations", http://eprint.uq.edu.au/archive/00001847/ Published by the Siberian Branch of the Russian Academy of Sciences.

 
Versions
Version Filter Type
Citation counts: Google Scholar Search Google Scholar
Access Statistics: 1452 Abstract Views, 1426 File Downloads  -  Detailed Statistics
Created: Tue, 05 Sep 2006, 10:00:00 EST by Michael N Macrossan on behalf of School of Engineering