Contributions to the Development of Gasdynamics: Selected by Klaus Oswatitsch (auth.), Wilhelm Schneider, Max Platzer

By Klaus Oswatitsch (auth.), Wilhelm Schneider, Max Platzer (eds.)

Ever seeing that plane speeds began to strategy the rate of sound, the learn of compressible move difficulties attracted a lot expertise and help within the significant indus­ trialized nations. at the present time, fuel dynamics is a mature department of technology whose many points and purposes are a lot too various to be mastered through a unmarried individual or to be defined in a number of volumes. This publication commemorates the seventieth birthday of a superb pioneer and instructor of fuel dynamics, Dr. Klaus Oswatitsch, Professor of Fluid Mechanics on the Technical collage of Vienna and previous Director of the Institute for Theoretical gasoline Dyna­ mics, Deutsche Forschungs-und Versuchsanstalt fUr Luft-und Raumfahrt. a number of purposes stimulated us to organize an English translation of Oswatitsch's chosen sci­ entific papers. First, we are hoping e-book containing his significant papers may be wel­ come as a necessary reference textual content in fuel dynamics. Oswatitsch's paintings is often utilized in the literature in a single shape or one other, however it is mostly relatively time-consuming for the English talking reader to refer to the unique texts. therefore, connection with and knowing of his papers is usually incomplete. for instance, Oswatitsch's formula of the equivalence rule hardly is quoted in fresh textbooks, al­ although it preceded declassification of Whitcomb's effects by means of numerous years. additional­ extra, his papers include a lot info, which has no longer but been absolutely preferred within the Anglo-American literature.

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Extra info for Contributions to the Development of Gasdynamics: Selected Papers, Translated on the Occasion of K. Oswatitsch’s 70th Birthday

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Et H. Werle: Decollement laminaire en deux dimensions. Rech. Aeron. No. 51, Mai-luin 1956. : Separation de l'ecoulement laminaire - tridimensionel. Rech. Aeron. No. 1956. 18 Some Thoughts on Estimates in Fluid Mechanics*) Dedicated to Prof. Paul Funk on the occasion of his 75th birthday 1 Introduction The following deliberations represent a first attempt to examine critically the estimation procedures in the field of solving partial differential equations and thus to rid these procedures of a certain arbitrariness which makes the results so much dependent on the skill and experience of the investigator.

Y For the wall streamlines one finds the equation ,---------~----------T 2ax 'x+(az -Tx )'Z arc tan (a z + Tx) A". Z =- " A In ( a Z -TX)2 (az+rx )2 x + ~ Z + 2;:- X"z + const. (38) In this case one is confronted with a focus pOine); A" determines the strength of the focus. Figs. 10 and 11 show a focus point for medium convergence and medium or weak strength, respectively. It is typical that a separation line dividing the regions of oncoming and reverse flow is missing. The wall streamlines converge towards the origin only after infinitely many spirals where they are being continued as a straight separation line.

1 but should be considered as a function of the Mach lines T/ v . Due to the slight changes in the angles of the Mach lines, caused by the disturbances in the flow field, considerable errors with regard to the correct location are introduced over larger distances. Similar to subsonic flow the location of the Mach lines has to be computed in a second step, if the solution is to be uniformly valid in the whole flow field. This second step, however, does not pose any difficulties. These are the basic concepts behind the perturbation theory for propagation problems developed by my co-workers and me during the past few years.

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