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An inviscid stability analysis of unbounded supersonic mixing layer flows

Liang, Fang-Pei
http://rave.ohiolink.edu/etdc/view?acc_num=case1055355056

Abstract Details

1991, Doctor of Philosophy, Case Western Reserve University, Mechanical Engineering.
An analysis is performed of the inviscid linear stability of unbounded supersonic mixing layer flows. The general stability characteristics of subsonic and supersonic solutions and the unstable eigen spectrum are discussed. The existence of neutral solutions supersonic to either or both free streams is verified. Two unstable supersonic modes, which can be supersonic to either or both of the free streams, are found and the transition from the supersonic modes to that associated with generalized inflection point is investigated. Systematical study is made of the unstable eigen spectrum using a number of numerical methods, including the method of the principle of argument and the method of multi-domain Chebyshev collocation with the QZ algorithm. The method of the principle of argument is robust and theoretically neat. The Chebyshev collocation method, however, is very expensive when applied to supersonic stability computation because of the presence of the critical point singularity and the slow damping of the eigenfunction at free streams. It is concluded that for unbounded flows there are only a small number of supersonic unstable modes (two modes in our cases) and the exact number for a given supersonic flow is generally not known. To determine the number of unstable modes requires detailed investigation by, e.g. the method of the principle of argument.
Eli Reshotko (Advisor)
186 p.
inviscid unbounded supersonic layer flows

Recommended Citations

Citations

  • Liang, F.-P. (1991). An inviscid stability analysis of unbounded supersonic mixing layer flows [Doctoral dissertation, Case Western Reserve University]. OhioLINK Electronic Theses and Dissertations Center. http://rave.ohiolink.edu/etdc/view?acc_num=case1055355056

    APA Style (7th edition)

  • Liang, Fang-Pei. An inviscid stability analysis of unbounded supersonic mixing layer flows. 1991. Case Western Reserve University, Doctoral dissertation. OhioLINK Electronic Theses and Dissertations Center, http://rave.ohiolink.edu/etdc/view?acc_num=case1055355056.

    MLA Style (8th edition)

  • Liang, Fang-Pei. "An inviscid stability analysis of unbounded supersonic mixing layer flows." Doctoral dissertation, Case Western Reserve University, 1991. http://rave.ohiolink.edu/etdc/view?acc_num=case1055355056

    Chicago Manual of Style (17th edition)

case1055355056
439
© 1991, all rights reserved.
This open access ETD is published by Case Western Reserve University School of Graduate Studies and OhioLINK.