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Unified super/hypersonic similitude for steady and oscillating cones and ogives

Published online by Cambridge University Press:  04 July 2016

Kunal Ghosh
Kunal Ghosh*
Affiliation:
Aeronautical Engineering Department, Indian Institute of Technology, Kanpur, India
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Abstract

A unified similitude for super/hypersonic flow has been given for non-slender cones and quasicones with attached shock. The similitude space has been shown to be orthogonal to the bow shock and an accurate scaling law for cone flows of different Mach numbers has been provided. A constant density solution has been obtained which gives simple formulas for shock angle and pressure on a cone. This leads to an axisymmetric shock expansion theory which incorporates the effect of profile curvature of an ogive in inviscid flow or a cone in viscous flow whose boundary layer displacement thickness is known a priori. The hypersonic formulas for pitching moment derivatives of oscillating cones and ogives have been adjusted to extend them to supersonic Mach numbers.

Type
Research Article
Information
The Aeronautical Journal , Volume 93 , Issue 928 , October 1989 , pp. 311 - 322
Copyright
Copyright © Royal Aeronautical Society 1989 

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Footnotes

*

The work was initiated before October 1985 and carried out between October 1985 and September 1986 during the author's period of fellowship as Senior Visiting Research Fellow at the Department of Aeronautics and Astronautics, University of Southampton with the support of the Procurement Executive, UK Ministry of Defence.

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