Other
Scientific paper
Feb 1991
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1991apj...368..491o&link_type=abstract
Astrophysical Journal, Part 1 (ISSN 0004-637X), vol. 368, Feb. 20, 1991, p. 491-503.
Other
5
Critical Point, Steady Flow, Stellar Winds, Transonic Flow, Viscosity, Boundary Value Problems, Flow Velocity, Inviscid Flow, Saddle Points, Topology
Scientific paper
The effect of viscosity on a steady, transonic flow for which the inviscid limit has a nodal solution topology near the critical point is investigated. For the accelerating case, viscous solutions tend to repel each other, so that a very delicate choice of initial conditions is required to prevent them from diverging. Only the two critical solutions extend to arbitrarily large distances into both the subsonic and supersonic flows. For the decelerating case, the solutions tend to attract, and so an entire two-parameter family of solutions now extends over large distances. The general effect of viscosity on the solution degeneracy of a nodal topology is thus to reduce or limit it for the accelerating case and to enhance it for the decelerating case. The astrophysical implications of these findings are addressed.
Owocki Stanley P.
Zank Gary P.
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