The intrinsic equation of planar curves and the geometry of the scroll compressor

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    The scroll compressor is an ingenious machine used for compressing air or refrigerant, which was originally invented in 1905 by Léon Creux. The classical design consist of two nested identical scrolls given by circle involutes, one of which is rotated through 180° with respect to the other. By specifying, not a parametrization of the curve, but instead the radius of curvature as a function of tangent direction and using the intrinsic equation of a planar curve, the design can be changed in a way that allows all relevant geometrical quantities to be calculated in closed analytical form.
    Original languageEnglish
    Number of pages14
    Publication statusPublished - 1999

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