On the development of vorticity and waves in shearing media with preliminary application to the solar nebula

Details On the development of vorticity and waves in shearing media with preliminary application to the solar nebula On the development of vorticity and waves in shearing media with preliminary application to the solar nebula

Feb 1981

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1981apj...243.1030h&link_type=abstract

Astrophysical Journal, Part 1, vol. 243, Feb. 1, 1981, p. 1030-1039.

Astronomy and Astrophysics

Astrophysics

9

Interplanetary Medium, Planetary Evolution, Protoplanets, S Waves, Solar Gravitation, Solar System, Vortices, Flow Stability, Fourier Transformation, Gravitational Effects, Linear Equations, Perturbation Theory, Propagation Modes, Shock Wave Propagation, Stellar Evolution, Stellar Models

Scientific paper

The problem of the development of localized structure in media possessing velocity shear is considered, with respect to the behavior of the solar nebula. The first part of the paper uses a Lagrangian formalism to show that while short-wavelength vorticity perturbations would normally experience transient growth followed by decay, favorable circumstances would lead disturbances of longer wavelength to undergo spectacular growth. There is a striking similarity between wave and vorticity mode evolutions that results in their becoming indistinguishable when self-gravitation is dominant. The second part of the paper considers shear and bulk viscosity effects on sheared, self-gravitating disturbances in a uniform rotating fluid, arguing that protoplanets of reasonable mass could have formed in a gaseous solar nebula.

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