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Steady flow on to a conveyor belt - Causal viscosity and shear shocksSome hydrodynamical consequences of the adoption of a causal theory of viscosity are explored. Causality is introduced into the theory by letting the coefficient of viscosity go to zero as the flow velocity approaches a designated propagation speed for viscous signals. Consideration is given to a model of viscosity which has a finite propagation speed of shear information, and it is shown that it produces two kinds of shear shock. A 'pure shear shock' corresponds to a transition from a superviscous to a subviscous state with no discontinuity in the velocity. A 'mixed shear shock' has a shear transition occurring at the same location as a normal adiabatic or radiative shock. A generalized version of the Rankine-Hugoniot conditions for mixed shear shocks is derived, and self-consistent numerical solutions to a model 2D problem in which an axisymmetric radially infalling stream encounters a spinning star are presented.
Document ID
19930056524
Document Type
Reprint (Version printed in journal)
Authors
Syer, D. (Harvard-Smithsonian Center for Astrophysics, Cambridge, MA; Cambridge Univ. Inst. of Astronomy, United Kingdom; Canadian Inst. for Theoretical Astrophysics, Toronto, Canada)
Narayan, Ramesh (Harvard-Smithsonian Center for Astrophysics Cambridge, MA, United States)
Date Acquired
August 16, 2013
Publication Date
June 1, 1993
Publication Information
Publication: Royal Astronomical Society, Monthly Notices
Volume: 262
Issue: 3
ISSN: 0035-8711
Subject Category
FLUID MECHANICS AND HEAT TRANSFER
Funding Number(s)
CONTRACT_GRANT: NSF AST-91-48279
CONTRACT_GRANT: NAGW-931
Distribution Limits
Public
Copyright
Other