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Asymptotic solution and numerical simulation of homogeneous condensation in expansion cloud chambers (1996)

Delale, C. F. ; Muitjens, M. J. E. H. ; van Dongen, M. E. H.

College Park, Md. : American Institute of Physics (AIP)

The Journal of Chemical Physics 105 (1996), S. 8804-8821

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ISSN: 1089-7690

Quelle: AIP Digital Archive

Thema: Physik , Chemie und Pharmazie

Notizen: Asymptotic solution of homogeneous condensation in expansion cloud chambers in different droplet growth regimes is presented. In particular an exactly solvable droplet growth model ranging between the Hertz–Knudsen and continuum droplet growth laws is introduced. The distinct condensation zones in each droplet growth regime are identified by the asymptotic solution of the condensation rate equation and the results are compared with those of direct numerical simulations using the classical nucleation theory. Excellent qualitative agreement is reached despite some minor quantitative differences in some of the condensation zones arising from the nature of the asymptotic solution in these zones. © 1996 American Institute of Physics.

Materialart: Digitale Medien

URL: http://dx.doi.org/10.1063/1.472631

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Digitale Medien

Thermal choking in two-dimensional expansion flows (1998)

Delale, C. F. ; van Dongen, M. E. H.

Springer

Zeitschrift für angewandte Mathematik und Physik 49 (1998), S. 515-537

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ISSN: 0044-2275

Schlagwort(e): Key words. Heat addition, two-dimensional expansion flows, critical heat, thermal choking.

Quelle: Springer Online Journal Archives 1860-2000

Thema: Mathematik , Physik

Notizen: Abstract. Two-dimensional supersonic flows with heat addition from given internal sources and/or nonequilibrium condensation are considered. The critical amount of heat necessary to thermally choke the flow is defined at any point in the flow field, and the necessary and sufficient conditions for thermal choking are identified from the singularities of the equations of motion along streamlines. In particular, for any practical purposes, it is shown that the flow Mach number reaches unity at any point where the heat added to the flow along the streamline passing through that point reaches the critical value. Thermally choked flows are then identified as those flows where the critical heat along streamlines is exceeded leading to embedded oblique shock waves with a local subsonic flow field downstream.