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The three-dimensional steady radial expansion of a viscous gas from a sonic source into a vacuum.The three-dimensional steady radial expansion of a viscous, heat-conducting, compressible fluid from a spherical sonic source into a vacuum is analyzed using the Navier-Stokes equations as a basis. It is assumed that the model fluid is a perfect gas having constant specific heats, a constant Prandtl number of order unity, and viscosity coefficients varying as a power of the absolute temperature. Limiting forms for the flow variable solutions are studied for the Reynolds number based on the sonic source conditions, going to infinity and the Newtonian parameter both fixed and going to zero. For the case of the viscosity-temperature exponent between .5 and 1, it is shown that the velocity as well as the pressure approach zero as the radial distance goes to infinity. The formulations of the distinct regions that span the domain extending from the sonic source to the vacuum are presented.
Document ID
19720030581
Acquisition Source
Legacy CDMS
Document Type
Reprint (Version printed in journal)
Authors
Bush, W. B.
(Southern California University Los Angeles, Calif., United States)
Rosen, R.
(McDonnell Douglas Astronautics Co. Huntington Beach, Calif., United States)
Date Acquired
August 6, 2013
Publication Date
November 1, 1971
Publication Information
Publication: SIAM Journal on Applied Mathematics
Volume: 21
Subject Category
Fluid Mechanics
Accession Number
72A14247
Funding Number(s)
CONTRACT_GRANT: NGR-05-018-044
Distribution Limits
Public
Copyright
Other

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