Spurious solutions of the Navier-Stokes equations

Details Spurious solutions of the Navier-Stokes equations Spurious solutions of the Navier-Stokes equations

Oct 1980

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1980apj...241..468s&link_type=abstract

Astrophysical Journal, Part 1, vol. 241, Oct. 1, 1980, p. 468-473. Natural Sciences and Engineering Research Council of Canada

Astronomy and Astrophysics

Astrophysics

3

Navier-Stokes Equation, Numerical Flow Visualization, Solar Wind Velocity, Viscous Flow, Asymptotic Methods, Numerical Integration, Temperature Effects, Velocity Distribution

Scientific paper

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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