The effect of viscosity on steady transonic flow with a nodal solution topology

Journal Article · Fri Feb 01 04:00:00 EST 1991 · Astrophysical Journal; (USA)

DOI:https://doi.org/10.1086/169714· OSTI ID:5757700

Owocki, S P; Zank, G P ^[1]

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1. Bartol Research Institute, Newark, DE (USA)

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. 28 refs.

• OSTI ID: 5757700
• Journal Information: Astrophysical Journal; (USA), Journal Name: Astrophysical Journal; (USA) Vol. 368; ISSN ASJOA; ISSN 0004-637X
• Country of Publication: United States
• Language: English

Related Subjects

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71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
BOUNDARY-VALUE PROBLEMS
FLUID FLOW
IDEAL FLOW
MATHEMATICS
SADDLE-POINT METHOD
STEADY FLOW
STELLAR ACTIVITY
STELLAR WINDS
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TRANSONIC FLOW
VELOCITY
VISCOSITY