Approximate rotation curve solutions for the evolution of a viscous protogalactic disk

Astronomy and Astrophysics – Astrophysics

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Accretion Disks, Big Bang Cosmology, Galactic Evolution, Mass Distribution, Radial Flow, Viscous Flow, Conservation Laws, Eddy Viscosity, Gravitation Theory, Shear Flow, Stellar Evolution, Stellar Luminosity, Turbulent Flow

Scientific paper

The problem of evolution of viscous protogalactic disks is examined. A modification of traditional turbulent viscosity theory is proposed which is based on the premise that the eddies are so small and numerous that each eddy can be considered to be a large molecule. The radial flow term is omitted from the viscosity equation to make it tractable, and the radial flow is later reintroduced via the requirement of gravitational balance within the disk. The main result is a family of rotation curves that, as the system evolves, serially reproduces most types of observed rotation curves. With the use of Seiden's star formation theory, the present model produces an exponential-like luminosity profile whenever stars form and the viscous action ceases.

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