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On the analytical solution for the cylindrical supersonic free jet

Dillmann, A. (2003) On the analytical solution for the cylindrical supersonic free jet. Institutsseminar, Erlangen-Nürnberg, 14.11.2003.

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Abstract

Based on linear potential theory, the problem of steady supersonic flow inside a cylindrical free jet is treated by analytical methods. The presence of shocks in the flow leads to non-uniform convergence of the obtained series, manifesting itself in strong oscillations of the truncated infinite series solutions (also known as the Gibbs phenomenon), which makes the theoretical solution unsuitable for proper numerical computation. This severe difficulty is overcome by an analytical method based on Kummer's series transformation, which completely eliminated the disturbing oscillations. The resulting free jet solutions is discussed, and it is shown that the cylindrical jet exhibits a rather complicated cellular structure. The comparison with experiment shows excellent agreement, thus proving that linear theory can indeed adequately describe the flow field of supersonic jets.

Document Type:Conference or Workshop Item (Speech)
Additional Information: LIDO-Berichtsjahr=2003,
Title:On the analytical solution for the cylindrical supersonic free jet
Authors:
AuthorsInstitution or Email of Authors
Dillmann, A.UNSPECIFIED
Date:2003
Status:Published
Keywords:Linear Potential Theory, Supersonic Flow, Cylindrical Free Jet, Gibbs Phenomenon, Kummer's Series Transformation.
Event Title:Institutsseminar, Erlangen-Nürnberg, 14.11.2003
Organizer:Technische Universität Erlangen, Lehrstuhl für Strömungsmechanik
HGF - Research field:other
HGF - Program:UNSPECIFIED
HGF - Program Themes:UNSPECIFIED
DLR - Research area:no assignement
DLR - Program:UNSPECIFIED
DLR - Research theme (Project):UNSPECIFIED
Location: Köln-Porz , Braunschweig , Göttingen
Institutes and Institutions:Institute of Aerodynamics and Flow Technology
Deposited By: Gerd E.A. Meier
Deposited On:31 Jan 2006
Last Modified:14 Jan 2010 19:21

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