80,185 research outputs found

    Nonlinear gas oscillations in pipes. Part 1. Theory

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    The problem of forced acoustic oscillations in a pipe is studied theoretically. The oscillations are produced by a moving piston in one end of the pipe, while a variety of boundary conditions ranging from a completely closed to a completely open mouth at the other end are considered. All these boundary conditions are modelled by two parameters: a length correction and a reflexion coefficient equivalent to the acoustic impedance. The linear theory predicts large amplitudes near resonance and nonlinear effects become crucially important. By expanding the equations of motion in a series in the Mach number, both the amplitude and wave form of the oscillation are predicted there. In both the open- and closed-end cases the need for shock waves in some range of parameters is found. The amplitude of the oscillation is different for the two cases, however, being proportional to the square root of the piston amplitude in the closed-end case and to the cube root for the open end

    Aristotle on Enduring Evils While Staying Happy

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    In what ways and how far does virtue shield someone against suffering evils? In other words, how do non-moral evils affect the lives of virtuous people and to what extent can someone endure evils while staying happy? The central purpose of this chapter is to answer these questions by exploring what Aristotle has to say about the effects of evils in human well-being in general and his treatment of extreme misfortunes

    Beyond the Standard Model of Physics with Astronomical Observations

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    There has been significant recent progress in observational cosmology. This, in turn, has provided an unprecedented picture of the early universe and its evolution. In this review I will present a (biased) view of how one can use these observational results to constraint fundamental physics and in particular physics beyond the standard model.Comment: Invited Talk at BW201
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