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Myers, M. K.

Publications and source records attributed to Myers, M. K..

43 records · Page 3
All sourcesNASA NTRSDOE OSTI
NASA NTRS1977

On the singular behavior of linear acoustic theory in near-sonic duct flows

The propagation of sound in a converging-diverging duct containing a quasi-one-dimensional steady flow with a high subsonic throat Mach number is studied. The behavior of linearized acoustic theory at the throat of the duct is shown to be singular, and the explicit form of the singularity is determined for two special types of area variation. Numerically computed results showing the development of the singularity are presented. The singularity implies that linearized acoustic theory is invalid for sound propagating through a throat carrying a near-sonic flow.

Myers, M. K.↗
NASA NTRS1976

Effects of high subsonic flow on sound propagation in a variable-area duct

The propagation of sound in a converging-diverging duct containing a quasi-one-dimensional steady flow with a high subsonic throat Mach number was studied. The behavior of linearized acoustic theory at the throat of the duct was shown to be singular. This singularity implies that linearized acoustic theory is invalid. The explicit singular behavior was determined and used to sketch the development (by the method of matched asymptotic expansions) of a nonlinear theory for sound propagation in a sonic throat region.

Callegari, A. J.↗
NASA NTRS1975

Sound propagation in curved ducts

An analysis of the sound field in a circularly curved duct of rectangular cross-section is carried out for both rigid and locally-reacting absorbing walls. The field is excited by a piston source at one end of the duct section, and comparisons of the acoustic field and the net power flow along the duct axis are made with corresponding results for a straight duct section for various frequencies. It is found that in general the curved duct yields a significant increase in sound attenuation along the duct axis as compared to the straight duct.

Myers, M. K.↗
NASA NTRS1974

Conical flow near singular rays

The steady flow of an ideal gas past a conical body is investigated by the method of matched asymptotic expansions, with particular emphasis on the flow near the singular ray occurring in linearized theory. The first-order problem governing the flow in this region is formulated, leading to the equation of Kuo, and an approximate solution is obtained in the case of compressive flow behind the main front. This solution is compared with the results of previous investigations with a view to assessing the applicability of the Lighthill-Whitham theories.

Zahalak, G. I.↗
NASA NTRS1974

On the accuracy of Whitham's method

The steady flow of an ideal gas past a conical body is studied by the method of matched asymptotic expansions and by Whitham's method in order to assess the accuracy of the latter. It is found that while Whitham's method does not yield a correct asymptotic representation of the perturbation field to second order in regions where the flow ahead of the Mach cone of the apex is disturbed, it does correctly predict the changes of the second-order perturbation quantities across a shock (the first-order shock strength). The results of the analysis are illustrated by a special case of a flat, rectangular plate at incidence.

Zahalak, G. I.↗