This paper presents an experimental investigation of some fluid flows inside a precessing right circular cylindrical tank. The first aim was to determine the extent to which a wave modal description of the fluid flow, which is physically realizable for a tank with no internal baffles, is sustained when the geometry of the tank is modified by baffle plates. The second was to determine if a baffle plate configuration could be found that forestalled the development of low-order modes. This second aim is directed toward the goal of eliminating low-order mode resonances in the fuel tanks of spinning spacecraft. Instabilities of such spacecraft have been successfully minimized at the design stage by the incorporation of baffle plates optimized by empirical drop tests. The ability of a baffle plate to eliminate low-order resonances, provided it is of a particular optimal configuration, is confirmed in this paper. This result suggests the use of flow visualizations as a means of simplifying expensive empirical drop-test programs. I. Introduction I N recent years, increasing proportions of the masses of spacecraft have been made up of fluids. These are the liquid fuels required to make small corrections to the orbits of communications satellites that are becoming more complex and must stay in operation for longer times. Spinning interplanetary probes must also carry more liquid fuels to execute increasingly complex missions. The stability of such spacecraft must be insured at the design stage. A rigid spacecraft will spin stably about either its axis of least inertia or its axis of greatest inertia. However, if energy is dissipated when a spacecraft is spinning about its axis of least inertia (a common configuration for a satellite in geostationary transfer orbit), this configuration is unstable. The spacecraft's nutation angle diverges as it tends to a spin about its axis of greatest inertia, this being the state of lowest energy for a given angular momentum. In a spacecraft containing liquid fuels, dissipation can include the transfer of energy from the rigid spacecraft's motion to the fluid. The fluid motion could occur on a variety of spatial scales, ranging from the large (low wave number waves) to the small (turbulence). In addition, viscous friction causes energy losses in boundary or shear layers. Drop-test experiments1 were carried out on scaled models of the Eurostar spacecraft bus. The internal liquid-containing tanks in both the models and the prototype spacecraft were right circular cylinders with hemispherical ends. In a drop-test experiment, a scale model of the spacecraft and its contained fluids is spun up at the top of a shaft. The model is dropped and briefly experiences free fall. During its fall, the model's overall angular velocity is recorded so that the prototype's stability in orbit may be inferred. Exponential growth of the nutation angle 0 of the spinning model was reported; the model was unstable. The nutation angle diverged according to 0<xet/T, with experimental time constants T of order 1 s. This occurred even with virtually full fuel tanks. Corresponding scaled time constants for the prototype spacecraft of about 20-30 s (or 10-15 revolutions of the spacecraft) were unaccept
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