International Electronic Journal of Mathematics Education

Interference of Same Direction Shocks
  • Article Type: Research Article
  • International Electronic Journal of Mathematics Education, 2016 - Volume 11 Issue 5, pp. 1051-1062
  • Published Online: 29 Jul 2016
  • Article Views: 588 | Article Download: 580
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AMA 10th edition
In-text citation: (1), (2), (3), etc.
Reference: Bulat PV. Interference of Same Direction Shocks. Int Elect J Math Ed. 2016;11(5), 1051-1062.
APA 6th edition
In-text citation: (Bulat, 2016)
Reference: Bulat, P. V. (2016). Interference of Same Direction Shocks. International Electronic Journal of Mathematics Education, 11(5), 1051-1062.
Chicago
In-text citation: (Bulat, 2016)
Reference: Bulat, Pavel V.. "Interference of Same Direction Shocks". International Electronic Journal of Mathematics Education 2016 11 no. 5 (2016): 1051-1062.
Harvard
In-text citation: (Bulat, 2016)
Reference: Bulat, P. V. (2016). Interference of Same Direction Shocks. International Electronic Journal of Mathematics Education, 11(5), pp. 1051-1062.
MLA
In-text citation: (Bulat, 2016)
Reference: Bulat, Pavel V. "Interference of Same Direction Shocks". International Electronic Journal of Mathematics Education, vol. 11, no. 5, 2016, pp. 1051-1062.
Vancouver
In-text citation: (1), (2), (3), etc.
Reference: Bulat PV. Interference of Same Direction Shocks. Int Elect J Math Ed. 2016;11(5):1051-62.

Abstract

The article considers the interference of shock of the same direction or, as they are called, catching-up shock waves. Purpose is to give a classification to the shock-wave structures that arise in this type of shocks interaction, and to determine the area of their existence. As a result of same direction shocks’ intersection a shock-wave structure forms ate the intersection point, containing the main shock, tangential discontinuity and one more reflected gas-dynamic discontinuity, the type of which is not known beforehand. The problem of determining the type of reflected discontinuity is the main problem, which must be solved in the study of catching-up shocks’ interference. The paper presents qualitative picture of shock-wave structures arising from the interaction of catching shock. The areas in which there is a regular and irregular interaction catching shocks. There are also areas in which the stationary solution is not available. The latest factor has determined the revival of interest in the theoretical study of given problem, because the facts of shock-wave structure’s sudden destruction inside the air intake of supersonic aircrafts at high Mach numbers were discovered. Is also relevant to investigate the possibility of using catching-up oblique shock waves to create an over-compressed detonation in promising detonation air-jet and rocket engines.

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