The self-similar solution to the blast waves generated by a constant velocity flame can be calculated easily if one assumes that the pressure and density between the flame and shock are constant, irrespective of geometry. The technique of calculation is discussed and the results are compared to the
Pressure waves generated by spherical flames
โ Scribed by C.M. Guirao; G.G. Bach; John H. Lee
- Publisher
- Elsevier Science
- Year
- 1976
- Tongue
- English
- Weight
- 676 KB
- Volume
- 27
- Category
- Article
- ISSN
- 0010-2180
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โฆ Synopsis
The present paper describes an approxim~te solution for the description of the shock-hydrodynamic flow structure corresponding to constant velocity expanding cylindrical or spherical flames. The solution is based on a perturbation procedure following the PLK technique. By matching the solutions coming frorfi the inner boundary of the flame (or equivalently a piston) to tf~ose from the outer boundary of the shock front, closed form analytical expressions are obtained relating the shock strength to the piston velocity as well as for the various flow distributions. Compared with the exact solution obtained via numerical integration of the self-similar equations, the present approximate solution is found tt~ give excellent results in the range of normal burning velocity ofS ~< 50 m/see for most common hydrocarbor,,-air mixtures.
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