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One-dimensional adiabatic flow of equilibrium gas–particle mixtures in long vertical ducts with friction

Published online by Cambridge University Press:  26 April 2006

Guido Buresti  and
Claudio Casarosa
Guido Buresti
Affiliation:
Dipartimento di Ingegneria Aerospaziale, Università di Pisa, Via Diotisalvi 2, 56100 Pisa, Italy
Claudio Casarosa
Affiliation:
Dipartimento di Energetica, Università di Pisa, Via Diotisalvi 2, 56100 Pisa, Italy
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Abstract

The equations of the steady, adiabatic, one-dimensional flow of an equilibrium mixture of a perfect gas and incompressible particles, in constant-area ducts with friction, are derived taking into account the effects of gravity and of the finite volume of the particles. As is the case for a pure gas, the mixture is shown to be subject to the phenomenon of choking, and the possibility of an adiabatic heating of the mixture in a subsonic expansion is also theoretically predicted for certain flow inlet conditions. The model may be used to approximately describe the conditions existing in portions of volcanic conduits during the Plinian phases of explosive eruptions. Some results of the numerical integration of the equations for a typical application of this type are briefly discussed, thus showing the potential of the model for carrying out rapid analyses of the influence of the main geometrical and flow parameters describing the problem. A non-volcanological application is also analysed to illustrate the possibility of the adiabatic heating of the mixture.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 203 , June 1989 , pp. 251 - 272
Copyright
© 1989 Cambridge University Press

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