scholarly journals Asymptotic solution of transonic nozzle flows with homogeneous condensation. II. Supercritical flows

1993 ◽  
Vol 5 (11) ◽  
pp. 2982-2995 ◽  
Author(s):  
Can F. Delale ◽  
Günter H. Schnerr ◽  
Jürgen Zierep
Keyword(s):  
Asymptotic Solution ◽  
Homogeneous Condensation ◽  
Supercritical Flows ◽  
Nozzle Flows

Asymptotic solution of shock tube flows with homogeneous condensation

1995 ◽  
Vol 287 ◽  
pp. 93-118 ◽  
Author(s):  
Can F. Delale ◽  
Günter H. Schnerr ◽  
Jürgen Zierep
Keyword(s):  
Shock Wave ◽  
Asymptotic Solution ◽  
Shock Tube ◽  
Complete Solution ◽  
Nucleation Theory ◽  
Classical Nucleation Theory ◽  
Droplet Growth ◽  
Homogeneous Condensation ◽  
Shock Fitting ◽  
Supercritical Flows

The asymptotic solution of shock tube flows with homogeneous condensation is presented for both smooth, or subcritical, flows and flows with an embedded shock wave, or supercritical flows. For subcritical flows an analytical expression, independent of the particular theory of homogeneous condensation to be employed, that determines the condensation wave front in the rarefaction wave is obtained by the asymptotic analysis of the rate equation along pathlines. The complete solution is computed by an algorithm which utilizes the classical nucleation theory and the Hertz–Knudsen droplet growth law. For supercritical flows four distinct flow regimes are distinguished along pathlines intersecting the embedded shock wave analogous to supercritical nozzle flows. The complete global solution for supercritical flows is discussed only qualitatively owing to the lack of a shock fitting technique for embedded shock waves. The results of the computations obtained by the subcritical algorithm show that most of the experimental data available exhibit supercritical flow behaviour and thereby the predicted onset conditions in general show deviations from the measured values. The causes of these deviations are reasoned by utilizing the qualitative global asymptotic solution of supercritical flows.

scholarly journals Asymptotic solution of transonic nozzle flows with homogeneous condensation. I. Subcritical flows

1993 ◽  
Vol 5 (11) ◽  
pp. 2969-2981 ◽  
Author(s):  
Can F. Delale ◽  
Günter H. Schnerr ◽  
Jürgen Zierep
Keyword(s):  
Asymptotic Solution ◽  
Homogeneous Condensation ◽  
Nozzle Flows

On the stability of stationary shock waves in nozzle flows with homogeneous condensation

2001 ◽  
Vol 13 (9) ◽  
pp. 2706-2719 ◽  
Author(s):  
C. F. Delale ◽  
G. Lamanna ◽  
M. E. H. van Dongen
Keyword(s):  
Shock Waves ◽  
Stationary Shock ◽  
Homogeneous Condensation ◽  
The Stability ◽  
Nozzle Flows

A comparison of nucleation theories by the asymptotic solution of condensing nozzle flows

1996 ◽  
Vol 117 (1-4) ◽  
pp. 23-32
Author(s):  
C. F. Delale ◽  
G. E. A. Meier
Keyword(s):  
Asymptotic Solution ◽  
Nozzle Flows

scholarly journals Asymptotic solution and numerical simulation of homogeneous condensation in expansion cloud chambers

1996 ◽  
Vol 105 (19) ◽  
pp. 8804-8821 ◽  
Author(s):  
C. F. Delale ◽  
M. J. E. H. Muitjens ◽  
M. E. H. van Dongen
Keyword(s):  
Numerical Simulation ◽  
Asymptotic Solution ◽  
Homogeneous Condensation

On the structure of a class of aerothermodynamic shocks

1969 ◽  
Vol 37 (2) ◽  
pp. 349-370 ◽  
Author(s):  
P. A. Blythe ◽  
D. G. Petty ◽  
D. A. Schofield ◽  
J. L. Wilson
Keyword(s):  
Approximate Solution ◽  
Asymptotic Solution ◽  
Recent Work ◽  
Numerical Solutions ◽  
Rate Process ◽  
Adiabatic Shock ◽  
Nozzle Flows ◽  
Shock Solution ◽  
Arbitrary Rate ◽  
Simple Approximate Solution

Some recent work on the existence of vibrational de-excitation shocks (δ-shocks) in expanding non-equilibrium nozzle flows is extended to include situations in which an adiabatic shock (δ-shocks) may be embedded within the de-excitation shock. A discussion of some further properties of the shock solution is given and some examples are worked out. Numerical solutions of the full equations are also presented. These solutions confirm the existence of the δ-shocks but bring to light certain anomalies in the simple approximate solution. The modifications necessary to remove these discrepancies are outlined, and the implications of the numerical results are briefly discussed. Finally, some comments on the nature of the asymptotic solution for an arbitrary rate process are made.

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