On Analogy of 2D and 3D Combustible Mixture Flows

The results of numerical simulations are presented for planar air flows in a bounded volume of square cross section diminishing due to a uniform motion of the walls, for a flow of a propane-air mixture under sinusoidal variation of the size of the square domain, for three-dimensional (3D) supersonic...

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Bibliographic Details
Published in:Combustion science and technology 2016-12, Vol.188 (11-12), p.2250-2266
Main Authors: Levin, Vladimir A., Manuylovich, Ivan S., Markov, Vladimir V.
Format: Article
Language:English
Subjects:
3D flow
Analogies
Analogy
Channels
Combustion
Computer simulation
Critical parameters
Cross sections
Gaseous detonation
Helical channel
Mathematical analysis
Mathematical models
Numerical simulation
Simulation
Supercomputer
Supersonic
Three dimensional flow
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Summary:The results of numerical simulations are presented for planar air flows in a bounded volume of square cross section diminishing due to a uniform motion of the walls, for a flow of a propane-air mixture under sinusoidal variation of the size of the square domain, for three-dimensional (3D) supersonic air and propane-air flows in channels of variable square cross section. The flows inside and outside the rotating elliptical cylinder, inside helical 3D channel of elliptic cross section were investigated. Specific features of shock-wave processes that are associated with the piston effect and focusing are established. The hypersonic analogy between planar and spatial flows is confirmed, which allows one to use 2D solutions in estimating 3D flows. The equations of a multicomponent ideal perfect gas and one-stage kinetics of chemical reactions are used to describe the flows. The method of numerical simulations is based on S. K. Godunov's scheme and implemented within an original software package.
ISSN:0010-2202
1563-521X
DOI:10.1080/00102202.2016.1220687