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Structure of fully dispersed waves in dusty gases

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Abstract

The structure of one-dimensional fully dispersed waves in dusty gases is investigated using the Navier-Stokes equations for the gas phase and for the particle phase. The resulting system of six ordinary nonlinear differential equations is reduced to a system of four autonomous nonlinear differential equations which is solved analytically in phase space by expanding the variables of state in power series.

Zusammenfassung

Die Struktur eindimensionaler voll dispergierter Wellen in staubhaltigen Gasen wird untersucht indem die Navier-Stokesschen Gleichungen auf die Gas-Phase und auf die Partikel-Phase angewendet werden. Das sich ergebende System von sechs gewöhnlichen nichtlineren Differentialgleichungen wird auf ein System von vier autonomen nichtlinearen Differentialgleichungen zurückgeführt. Dieses System wird durch Reihenentwicklung der Zustandsgrößen im Phasenraum analytisch gelöst.

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Authors and Affiliations

  1. Institut für Thermodynamik der Luft- und Raumfahrt, Universität Stuttgart, Germany

    Hanaa Hamad & Arnold Frohn

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  1. Hanaa Hamad
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  2. Arnold Frohn
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Hamad, H., Frohn, A. Structure of fully dispersed waves in dusty gases. Journal of Applied Mathematics and Physics (ZAMP) 31, 66–82 (1980). https://doi.org/10.1007/BF01601705

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  • DOI: https://doi.org/10.1007/BF01601705

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