Hypersonic Flow Over Conical Wing-Body Combinations

1978 ◽  
Vol 29 (4) ◽  
pp. 285-304 ◽  
Author(s):  
R. Hillier

SummaryThis paper shows how thin shock layer theory may be applied to wing-body combinations and also to yawed wings of caret and diamond section. The common feature of these cases is the interaction of the crossflow with the body slope discontinuity and the manner in which the resulting disturbances propagate through the shock layer. Practical computation of surface pressures is straightforward and comparison with experiment appears to be fairly good for the limited results available.

1972 ◽  
Vol 54 (2) ◽  
pp. 305-337 ◽  
Author(s):  
R. Hillier

Messiter's thin shock layer approximation for hypersonic wings is applied to several non-conical shapes. Two calculation methods are considered. One gives the exact solution for a particular three-dimensional geometry which possesses a conical planform and also a conical distribution of thickness superimposed upon a surface cambered in the chordwise direction. Agreement with experiment is good for all cases, including that where the wing is yawed. The other method is a more general approach whereby the solution is expressed as a correction to an already known conical flow. Such a technique is applicable to conical planforms with either attached or detached shocks but only to the non-conical planform for the region in the vicinity of the leading edge when the shock is attached.


1970 ◽  
Vol 21 (4) ◽  
pp. 379-399 ◽  
Author(s):  
B. A. Woods

SummaryHypersonic conical flows over delta wings are treated in the thin-shock-layer approximation due to Messiter. The equations are hyperbolic throughout, even in regions where the full equations are elliptic, and have not hitherto been solved for flows with attached shock waves. The concept of the simple wave has been used to construct a class of solutions for such flows; they contain discontinuities in flow variables and shock slope but, for the case of flow over a delta wing with lateral symmetry, agreement with results of numerical solutions of the full equations is good. The method is applied to plane delta wings at yaw, and to wings with anhedral and dihedral. For the flow at the tip of a rectangular wing, it is shown that two distinct solutions may be constructed.


1977 ◽  
Vol 79 (2) ◽  
pp. 361-377 ◽  
Author(s):  
B. A. Woods ◽  
C. B. G. Mcintosh

A new form is given for the general solution to the thin-shock-layer equations for the flow over a nearly plane delta wing. Using this, the solution described conjecturally by Hayes & Probstein for symmetrical flow with attached shock waves over a plane delta wing is realized numerically. The flow construction devised for this purpose is applied also to yawed flows. The solutions obtained are found to agree moderately well with the results of numerical calculations from the full equations, but contain a number of anomalous features characteristic of the thin-shock-layer approximation.


1974 ◽  
Vol 25 (1) ◽  
pp. 1-13 ◽  
Author(s):  
L C Squire

SummaryIn the usual form of thin-shock-layer theory it is assumed that the flow about a lifting body can be expanded in terms of the inverse density ratio across a basic oblique shock wave lying in the plane of the leading edges of the body. In this paper it is shown that more accurate results can be obtained by moving the basic shock closer to the calculated shock wave below the body. The results obtained show why the original form of thin-shock-layer theory often gave good agreement with experiment in conditions which appeared to be outside the range of validity of the theory.


2010 ◽  
Vol 4 (supplement) ◽  
pp. 46-63
Author(s):  
Vidar Thorsteinsson

The paper explores the relation of Michael Hardt and Antonio Negri's work to that of Deleuze and Guattari. The main focus is on Hardt and Negri's concept of ‘the common’ as developed in their most recent book Commonwealth. It is argued that the common can complement what Nicholas Thoburn terms the ‘minor’ characteristics of Deleuze's political thinking while also surpassing certain limitations posed by Hardt and Negri's own previous emphasis on ‘autonomy-in-production’. With reference to Marx's notion of real subsumption and early workerism's social-factory thesis, the discussion circles around showing how a distinction between capital and the common can provide a basis for what Alberto Toscano calls ‘antagonistic separation’ from capital in a more effective way than can the classical capital–labour distinction. To this end, it is demonstrated how the common might benefit from being understood in light of Deleuze and Guattari's conceptual apparatus, with reference primarily to the ‘body without organs’ of Anti-Oedipus. It is argued that the common as body without organs, now understood as constituting its own ‘social production’ separate from the BwO of capital, can provide a new basis for antagonistic separation from capital. Of fundamental importance is how the common potentially invents a novel regime of qualitative valorisation, distinct from capital's limitation to quantity and scarcity.


Author(s):  
Anne Phillips

No one wants to be treated like an object, regarded as an item of property, or put up for sale. Yet many people frame personal autonomy in terms of self-ownership, representing themselves as property owners with the right to do as they wish with their bodies. Others do not use the language of property, but are similarly insistent on the rights of free individuals to decide for themselves whether to engage in commercial transactions for sex, reproduction, or organ sales. Drawing on analyses of rape, surrogacy, and markets in human organs, this book challenges notions of freedom based on ownership of our bodies and argues against the normalization of markets in bodily services and parts. The book explores the risks associated with metaphors of property and the reasons why the commodification of the body remains problematic. The book asks what is wrong with thinking of oneself as the owner of one's body? What is wrong with making our bodies available for rent or sale? What, if anything, is the difference between markets in sex, reproduction, or human body parts, and the other markets we commonly applaud? The book contends that body markets occupy the outer edges of a continuum that is, in some way, a feature of all labor markets. But it also emphasizes that we all have bodies, and considers the implications of this otherwise banal fact for equality. Bodies remind us of shared vulnerability, alerting us to the common experience of living as embodied beings in the same world. Examining the complex issue of body exceptionalism, the book demonstrates that treating the body as property makes human equality harder to comprehend.


Author(s):  
Andrea Cristofolini ◽  
Carlo Borghi ◽  
Gabriele Neretti ◽  
Andrea Passaro ◽  
Leonardo Biagioni
Keyword(s):  

1959 ◽  
Vol 63 (585) ◽  
pp. 508-512 ◽  
Author(s):  
K. W. Mangler

When a body moves through air at very high speed at such a height that the air can be considered as a continuum, the distinction between sharp and blunt noses with their attached or detached bow shocks loses its significance, since, in practical cases, the bow wave is always detached and fairly strong. In practice, all bodies behave as blunt shapes with a smaller or larger subsonic region near the nose where the entropy and the corresponding loss of total head change from streamline to streamline due to the curvature of the bow shock. These entropy gradients determine the behaviour of the hypersonic flow fields to a large extent. Even in regions where viscosity effects are small they give rise to gradients of the velocity and shear layers with a lower velocity and a higher entropy near the surface than would occur in their absence. Thus one can expect to gain some relief in the heating problems arising on the surface of the body. On the other hand, one would lose farther downstream on long slender shapes as more and more air of lower entropy is entrained into the boundary layer so that the heat transfer to the surface goes up again. Both these flow regions will be discussed here for the simple case of a body of axial symmetry at zero incidence. Finally, some remarks on the flow field past a lifting body will be made. Recently, a great deal of information on these subjects has appeared in a number of reviewing papers so that little can be added. The numerical results on the subsonic flow regions in Section 2 have not been published before.


Apeiron ◽  
2020 ◽  
Vol 0 (0) ◽  
Author(s):  
Samuel H. Baker

AbstractAccording to Aristotle, the medical art aims at health, which is a virtue of the body, and does so in an unlimited way. Consequently, medicine does not determine the extent to which health should be pursued, and “mental health” falls under medicine only via pros hen predication. Because medicine is inherently oriented to its end, it produces health in accordance with its nature and disease contrary to its nature—even when disease is good for the patient. Aristotle’s politician understands that this inherent orientation can be systematically distorted, and so would see the need for something like the Hippocratic Oath.


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