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Showing papers in "Journal of Applied Mechanics in 1951"


Journal ArticleDOI
TL;DR: In this article, the applicability of statistics to a wide field of problems is discussed, and examples of simple and complex distributions are given, as well as a discussion of the application of statistics in a wide range of problems.
Abstract: This paper discusses the applicability of statistics to a wide field of problems. Examples of simple and complex distributions are given.

9,091 citations




Journal ArticleDOI
TL;DR: In this paper, the response of the fuel to simple harmonic motions of a rectangular tank in translation, pitching and yawing is studied and the shape of the free surface and the values of forces and moments are obtained.
Abstract: : Problems in aircraft dynamics such as stability and response of the rigid airplane may be affected by fuel motion in the tanks. Such problems might also arise in connection with missiles. In this report the response of the fuel to simple harmonic motions of a rectangular tank in translation, pitching and yawing is studied. The shape of the free surface and the values of forces and moments are obtained. Using the force and moment expressions, simple mechanical systems equivalent to the fuel are constructed. These systems respond to motions of the tank walls in the same fashion as the fuel, producing identical forces and moments. With the aid of this mechanical analogy the complete dynamic system can be handled by any desired process.

238 citations











Book ChapterDOI
TL;DR: In this article, the influence of flame front on the flow field but not on the detailed structure of the flame is assumed as infinitesimally thin, and only the final changes of the state of fluid due to combustion need be considered, which is entirely analogous to that of treating the shock wave as having zero thickness in studying dynamics of compressible fluids.
Abstract: Flame front is a region in the flow field where rapid change in the chemical composition of the fluid occurs with consequent release of chemical energy in the form of heat. In the majority of cases the phenomenon is a very complicated one involving the heat transfer by conduction and radiation, the changes in concentration of the different components by diffusion and chemical reaction. Owing to this and the difficult problem of chemical kinetics, only recently the complete theory of flame front has been formulated, particularly by the group under J. O. Hirschfelder.[2] Fortunately, as a result of the rapid rate of chemical reaction, the thickness of the flame front under ordinary conditions is generally very small, being less than 1 mm. Therefore, if one is interested in the influence of flame front on the flow field but not on the detailed structure of the flame, the flame can be assumed as infinitesimally thin, and only the final changes of the state of fluid due to combustion need be considered. This procedure is entirely analogous to that of treating the shock wave as having zero thickness in studying dynamics of compressible fluids. This simplification will be adopted for the present investigation.