Nonlinear unsteady supersonic flow analysis for slender bodies of revolution: Series solutions, convergence and results

Markakis, M; Panayotounakos, DE

dc.contributor.author	Markakis, M	en
dc.contributor.author	Panayotounakos, DE	en
dc.date.accessioned	2014-03-01T01:13:56Z
dc.date.available	2014-03-01T01:13:56Z
dc.date.issued	1998	en
dc.identifier.issn	1024-123X	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/12796
dc.subject	Convergence analysis	en
dc.subject	Right circular cone	en
dc.subject	Unsteady supersonic flow	en
dc.subject.classification	Engineering, Multidisciplinary	en
dc.subject.classification	Mathematics, Interdisciplinary Applications	en
dc.subject.other	Analytical solutions	en
dc.subject.other	Arbitrary functions	en
dc.subject.other	Body of revolution	en
dc.subject.other	Circular cones	en
dc.subject.other	Convergence analysis	en
dc.subject.other	Infinite series	en
dc.subject.other	Initial conditions	en
dc.subject.other	Limiting values	en
dc.subject.other	Series solutions	en
dc.subject.other	Slender bodies	en
dc.subject.other	Small-amplitude oscillations	en
dc.subject.other	Unsteady supersonic flow	en
dc.subject.other	Pressure measurement	en
dc.subject.other	Supersonic aerodynamics	en
dc.subject.other	Supersonic flow	en
dc.subject.other	Bodies of revolution	en
dc.title	Nonlinear unsteady supersonic flow analysis for slender bodies of revolution: Series solutions, convergence and results	en
heal.type	journalArticle	en
heal.identifier.primary	10.1155/S1024123X97000641	en
heal.identifier.secondary	http://dx.doi.org/10.1155/S1024123X97000641	en
heal.language	English	en
heal.publicationDate	1998	en
heal.abstract	In Ref. [6] the authors constructed analytical solutions including one arbitrary function for the problem of nonlinear, unsteady, supersonic flow analysis concerning slender bodies of revolution due to small amplitude oscillations. An application describing a flow past a right circular cone was presented and the constructed solutions were given in the form of infinite series through a set of convenient boundary and initial conditions in accordance with the physical problem. In the present paper we develop an appropriate convergence analysis concerning the before mentioned series solutions for the specific geometry of a rigid right circular cone. We succeed in estimating the limiting values of the series producing velocity and acceleration resultants of the problem under consideration. Several graphics for the velocity and acceleration flow fields are presented. We must underline here that the proposed convergence technique is unique and can be applied to any other geometry of the considered body of revolution. © 1998 OP A (Overseas Publishers Association).	en
heal.publisher	GORDON BREACH SCI PUBL LTD	en
heal.journalName	Mathematical Problems in Engineering	en
dc.identifier.doi	10.1155/S1024123X97000641	en
dc.identifier.isi	ISI:000073172200001	en
dc.identifier.volume	3	en
dc.identifier.issue	6	en
dc.identifier.spage	481	en
dc.identifier.epage	501	en