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Title:
Spurious solutions of the Navier-Stokes equations
Authors:
Summers, D.
Publication:
Astrophysical Journal, Part 1, vol. 241, Oct. 1, 1980, p. 468-473. Natural Sciences and Engineering Research Council of Canada (ApJ Homepage)
Publication Date:
10/1980
Category:
Solar Physics
Origin:
STI
NASA/STI Keywords:
Navier-Stokes Equation, Numerical Flow Visualization, Solar Wind Velocity, Viscous Flow, Asymptotic Methods, Numerical Integration, Temperature Effects, Velocity Distribution
DOI:
10.1086/158360
Bibliographic Code:
1980ApJ...241..468S

Abstract

Previous authors, notably Scarf and Noble, have applied the Navier-Stokes equations to the solar wind and have found that viscous forces are very significant in the vicinity of, and downstream from, the sonic point and that there is a resulting great enhancement of flow speed in these regions. It is shown here that such conclusions and solutions are erroneous. A method of integration of the Navier-Stokes equations is presented which involves upstream integration from a great heliocentric distance, at which point the flow variables are evaluated by appropriate asymptotic series. The resulting critical viscous solutions are found to be well behaved and generally involve a slight decrease in flow speed and increase in temperature, as expected on physical grounds.

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