The occurence of the vortical singularity away from the cone surface is examined using the sign of v sub theta (rate of change of normal velocity in a direction normal to the body surface) at the body surface. The vortical singularity can only occur away from the body surface if the cross flow is locally supersonic. Two different categories are defined depending on whether v sub theta first becomes positive when the surface cross flow is subsonic or supersonic. If v sub theta first becomes positive when the surface cross flow is subsonic or supersonic. If v sub theta becomes positive when the cross is supersonic, and remains positive, then an internal shock must occur. For a narrow band of conditions an internal shock will occur with v sub theta negative. A numerical method, which permits discontinous solutions at the internal shock and at the vortical singularity, is used to obtain results to support the above conclusions. The numerical method, based partly on the work of Gilinskii, Telinin, and Tinyakov (GTT) and partly on the method of characteristics, produces solutions which indicate that the vortical singularity is most likely to occur outside the leeward separated region if both the incidence and cone angle are as large as possible.


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    Titel :

    Vortical singularity behind a highly yawed cone


    Weitere Titelangaben:

    Besondere Wirbelbildung hinter einem stark schiebenden Kegel


    Beteiligte:

    Erschienen in:

    Erscheinungsdatum :

    1974


    Format / Umfang :

    7 Seiten


    Medientyp :

    Report


    Format :

    Print


    Sprache :

    Englisch




    Vortical singularity behind a highly yawed cone

    FLETCHER, C. A. J. | AIAA | 1975




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