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On the calculation of theoretical Mach-Zehnder interferograms from the given velocity potential of a cylindrical supersonic free jet

Dillmann, A. (1994) On the calculation of theoretical Mach-Zehnder interferograms from the given velocity potential of a cylindrical supersonic free jet. Acta Mechanica, 104 (1994), p. 143-157, pp. 143-157. Springer-Verlag 1994.

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Abstract

From linear potential theory, the small density fluctuations of a supersonic free jet about the state in which it enters a medium with zero excess pressure are in the most general case give by an infinite double series of the Fourier-Bessel type. It is shown that the spatial density integration performed by a Mach-Zehnder interferometer can be done via analytical term-by-term integration of this series. Hence, the intensity of the light impinging on the screen of a hypothetical interferometer can in general be calculated analytically. For the case of D.C. Pack's classical solution for the axisymmetric free jet, theoretical fringe petterns are calculated and very good agreement with experiment is found.

Document Type:Article
Additional Information: LIDO-Berichtsjahr=1994,
Title:On the calculation of theoretical Mach-Zehnder interferograms from the given velocity potential of a cylindrical supersonic free jet
Authors:
AuthorsInstitution or Email of Authors
Dillmann, A.UNSPECIFIED
Date:1994
Journal or Publication Title:Acta Mechanica, 104 (1994), p. 143-157
Refereed publication:Yes
In ISI Web of Science:Yes
Page Range:pp. 143-157
Publisher:Springer-Verlag 1994
Series Name:104
Status:Published
Keywords:Mach-Zehnder-interferometry, potential theory, supersonic free jets, Radon transformation
HGF - Research field:UNSPECIFIED
HGF - Program:Space (old)
HGF - Program Themes:W RP - Raumtransport
DLR - Research area:UNSPECIFIED
DLR - Program:W RP - Raumtransport
DLR - Research theme (Project):UNSPECIFIED
Location: Köln-Porz , Braunschweig , Göttingen
Institutes and Institutions:Institute of Aerodynamics and Flow Technology > Institut für Strömungsmechanik > Institut für Experimentelle Strömungsmechanik
Deposited By: elib DLR-Beauftragter
Deposited On:03 Apr 2006
Last Modified:27 Apr 2009 10:08

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