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In the vicinity of a massive object of various scales (ranging from youngstars to galactic nuclei), mass flow creates a spectacular structure combininga thin disk and collimated jet. Despite a wide range of scaling parameters(such as Reynolds number, Lundquist number, ionization fractions, Lorentzfactor, etc.), they exhibit a remarkable similarity that must be dictated by auniversal principle. A generalized Beltrami condition has been formulated as asuccinct representation of such a principle. The singularity at the center ofthe Keplerian rotation forces the flow to align with the "generalizedvorticity" (including the effect of localized density and finite dissipation)which appears as an axle penetrating the disk, i.e. the jet is a Beltrami flow.Based on the Beltrami flow model, an analytical expression of a disk-jet systemhas been constructed by the method of similarity solution.

Generalized Beltrami flow -- a model of thin-disk and narrow-jet system