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The spreading of a vertical, axially-symmetric laser beam for self-induced laminar and turbulent flow

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Summary

The lateral spreading of an intense, vertical light beam of axial symmetry, in the absence of a cross wind, is treated by solving the unabbreviated equations of fluid mechanics in conjunction with the equations of optics. The solution is presented in one case by means of a similarity transformation, which reduces the system of partial differential equations into a system of ordinary differential equations. Laminar flow as induced by light absorption is treated in an exact way. Turbulent motion is treated approximately.

Zusammenfassung

Die seitliche Ausweitung eines starken axialsymmeterischen vertikalen Lichtstrahls wird behandelt (ohne Seitenwind), durch Lösung der vollen fluidmechanischen Gleichungen zusammen mit den Gleichungen der Optik. Die Lösung wird in einem Falle mit Hilfe einer Aehnlichkeitstransformation angegeben, welche das System der partiellen Differentialgleichungen in ein System von gewöhnlichen Differentialgleichungen reduziert. Die durch Lichtabsorption induzierte Laminarströmung wird exakt bestimmt; die turbulente Bewegung wird angenähert behandelt.

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Authors and Affiliations

  1. U.S. Army Missile Command, Redstone Arsenal, Alabama, USA

    Bernard Steverding & Siegfried H. Lehnigk

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  1. Bernard Steverding
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  2. Siegfried H. Lehnigk
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Steverding, B., Lehnigk, S.H. The spreading of a vertical, axially-symmetric laser beam for self-induced laminar and turbulent flow. Journal of Applied Mathematics and Physics (ZAMP) 25, 579–590 (1974). https://doi.org/10.1007/BF01596120

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  • DOI: https://doi.org/10.1007/BF01596120

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